Pith. sign in

REVIEW 4 major objections 6 minor 71 references

Cyclic phase transition of substrate-modulated 2D dusty plasma driven by oscillatory forces

T0 review · 4 major / 6 minor · reviewed 2026-08-12 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Simulations show that sweeping the frequency of a circular driving force downward makes a two-dimensional dusty plasma on a periodic substrate cycle repeatedly between ordered cluster phases and ordered void phases, with nearly uniform…

desk verdict A genuine simulation discovery of cyclic cluster/void phases under circularly polarized drive, with a plausible but not fully verified geometric explanation; worth refereeing after the authors test the free-orbit assumption directly. read the letter →

arxiv 2411.17647 v1 pith:KJXGQ5VO submitted 2024-11-26 physics.plasm-ph cond-mat.soft

Ao Xu , C. Reichhardt , C.J.O. Reichhardt , Yan Feng This is my paper · ORCID
classification physics.plasm-phcond-mat.soft
keywords dustyplasmatwo-dimensionalperiodicsubstrateclusterphasevoidoscillatorydrivingforcetime-averagedpotentialLangevinsimulationYukawainteraction
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper uses Langevin simulations of 1024 charged dust particles interacting through Yukawa repulsion and sitting on a triangular array of 36 parabolic wells, all pushed by a circularly rotating force of amplitude A/F0=20.0. It reports that as the drive frequency ω is lowered monotonically from 4.0ωpd to 0.1ωpd, the particle arrangement cycles: ordered clusters at ω/ωpd≈3.2, an ordered void pattern at ≈1.35, clusters again at ≈1.0, voids again at ≈0.85, and nearly uniform liquid-like arrangements in between. The proposed cause is geometric: in the particles' moving reference frame the substrate wells trace circles of radius R=A/($mω^{2}$), and the time-averaged potential develops hexagonal or dodecagonal symmetry depending on how those circles intersect. Equation (5) turns this into a parameter-free condition for the resonance frequencies, and the simulated peaks line up with it. If correct, the result shows that ordered self-organization can be switched on and off purely by tuning a drive frequency, and the same geometric argument should apply to other driven particle systems on periodic traps.

What carries the argument

The load-bearing object is a geometric resonance identity, Eq. (5): $A/(m\omega^2 d) = \sqrt{\beta^2+2\beta+2\times 2^{(-1)^{\beta}}}/(4\cos(\theta/2))$. Here d is the nearest-neighbor spacing of the triangular substrate wells, β labels the β-th nearest neighbor, and θ is the central angle of the orbit intersection, taking values 0 or π/3 for hexagonal intersections and π/6 or π/2 for dodecagonal ones. The identity follows from setting the free-orbit radius R=A/($mω^{2}$) equal to dβ/(2 cos(θ/2)), where dβ is the distance to the β-th nearest well in a triangular lattice, derived in Appendix A. The machinery also includes two diagnostics, the dense particle proportion and the non-uniformity index, whose peaks coincide, and the moving-frame superposition of the time-averaged potential with particle positions that visually confirms where particles accumulate or avoid.

What would settle it

Compare the simulated average gyration radius with A/($mω^{2}$) across the frequency range, and rerun the same simulation with the drive amplitude reduced by a factor of two: if the cluster/void peaks do not shift in the way Eq. (5) with ω∝√A predicts, the free-orbit resonance picture is falsified.

Watch

Extended reading notes

Core claim

The central claim is that the cluster-void cycle is controlled by the symmetry of the time-averaged substrate potential seen in a non-rotating frame that moves with the particles. In that frame, a particle that feels only the circular drive would execute a circle of radius R=A/($mω^{2}$), so the substrate wells appear to gyrate along circles of that radius. When the circles of the central well and its β-th nearest neighbors intersect so that the central orbit is divided evenly into six parts (hexagonal symmetry), the time-averaged landscape contains either a central minimum surrounded by barriers, producing a cluster phase, or six minima surrounding a central barrier, producing a void phase. When the intersections divide the orbit into twelve parts (dodecagonal symmetry with θ=π/6), the landscape still supports ordered clusters or voids; at the companion dodecagonal angle θ=π/2 the minima are too numerous and too small to trap more than a pair of particles, and the arrangement looks uniform. Superimposing simulated particle positions on these computed landscapes reproduces the observed phases at ω/ωpd = 1.40, 1.17, and 1.0.

Load-bearing premise

The interpretation assumes each particle follows a free circular orbit of radius A/($mω^{2}$) because the drive force dwarfs the substrate and interparticle forces; if that force balance fails at low frequencies, the predicted frequencies and the cluster/void assignment would shift.

Editorial extensions

If this is right

  • As $\omega$ is decreased monotonically, the system visits ordered cluster, uniform, ordered void, cluster, uniform, and void states in sequence, with the DPP and NUI diagnostics peaking at the same four frequencies.
  • The phase locations are predictable from geometry alone: Eq. (5) gives each symmetry-induced frequency from the well spacing, the drive amplitude, and the circular-orbit radius, with no free fit parameters.
  • The same moving-frame argument should simplify the study of other strongly interacting particle assemblies driven by uniform ac forces, since only the circular orbit radius and the substrate lattice enter the resonance condition.
  • In the uniform regions, the effective landscape is not featureless but contains many small minima; particles spread out because no minimum is large enough to hold a cluster.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable extension: because the resonance condition depends only on A/(mω^2 d) and lattice geometry, halving the drive amplitude should move all cluster/void peaks down in frequency by a factor of √2 if the single-particle orbit picture holds.
  • The visual similarity between these cluster and void patterns and those seen for vortices or colloids on periodic pinning arrays suggests the moving-frame potential construction could serve as a design rule for writing or erasing ordered patterns with a circular drive.
  • The force-balance claim that the drive is about 70 times larger than substrate or interparticle forces is the soft spot; a direct calculation of force ratios from the simulation trajectories at low frequency would show whether the effective orbit radius must be corrected for trapping, which would shift the predicted peak frequencies.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 6 minor

Summary. The manuscript reports Langevin simulations of a two-dimensional dusty plasma on a periodic substrate driven by a circularly rotating force. As the driving frequency is decreased monotonically from 4.0ω_pd to 0.1ω_pd, the authors observe a cyclic sequence of ordered cluster and void phases, with peaks in the dense-particle proportion and non-uniformity index at ω/ω_pd ≈ 3.2, 1.35, 1.0, and 0.85. They explain the cycle by the symmetry of the time-averaged substrate potential seen in the particle co-moving frame: the orbits of the substrate-well centers intersect with hexagonal or dodecagonal symmetry at frequencies given by Eq. (5), and the resulting effective potential minima or maxima produce clusters or voids. This interpretation is supported by superimposing particle positions on the effective potential landscapes in Fig. 5.

Significance. The observed cyclic phase transition is new, and Eq. (5) provides a closed-form geometric predictor that could be useful for designing pattern formation in driven particle–substrate systems. The manuscript gives sufficient simulation details for reproducibility, and the four phases are clearly described. If the quantitative link between the predicted frequencies and the measured peaks is confirmed with error bars and trajectory checks, the proposed mechanism would be a valuable contribution to dusty plasma and soft matter physics. However, as it stands, the central evidence is largely qualitative: the force-balance assumption behind the free-particle orbit is unverified, the peak-to-prediction matching is post hoc, and the structural diagnostics rely on an empirically chosen threshold.

major comments (4)
  1. [Sec. III C, Eq. (5)] The derivation of Eq. (5) assumes that every particle follows the free-particle orbit of radius R = A/(mω²). The paper justifies this by stating that the oscillatory driving force is about 70 times larger than the repulsion between neighboring particles or the confining force of the 2DPS, but no estimate is provided. From the stated parameters, A/F0 = 20 and the maximum substrate force is F_p/F0 = 1, so the drive is only 20 times the maximum substrate force; the Yukawa force at the mean interparticle spacing is of order 0.1–0.4 F0. At the lowest peak frequency, R ≈ 13.8a, so particles traverse wells of depth 2aF0 and radius 4a; even a first-order correction δr ≈ F0/(mω²) is about 0.7a at ω = 0.85ω_pd, which is ~5% of R and shifts the predicted frequencies by a few percent, comparable to the 0.05ω_pd frequency step and to the mismatch between observed peaks and Table I. The authors should verify the actual gyration radius in the simulations, or include the substrate and Yukawa forces in the orbit calculation, before Eq. (5) can be used as the causal explanation.
  2. [Sec. III B, Fig. 3 and Table I] The assignment of the observed DPP/NUI peaks to the geometric predictions is post hoc and not quantitatively matched. For example, the 1st void peak at ω/ω_pd = 1.35 lies between the hexagonal values 1.40 and 1.30 and the dodecagonal value 1.38; the 2nd void at 0.85 is between 0.86 and 0.83. With a 0.05 frequency step, several predicted values are consistent with each measured peak, and the text does not specify a matching criterion. The authors should report the measured peak positions with uncertainties and state a tolerance for agreement (for instance, within half a frequency step), or perform simulations at finer frequency resolution near the predicted values.
  3. [Sec. II, Eq. (2)] The dense-particle proportion, which is the primary order parameter for the phase cycle, depends on the empirical threshold constant c = 1.75 in Eq. (2). The paper states that this value 'is able to correctly distinguish' dense and dilute particles but gives no sensitivity analysis. Since DPP peak heights and possibly peak positions could depend on c, the authors should show that the peaks and their frequencies remain stable for a range of c around 1.75, or replace this diagnostic with a parameter-free structural measure.
  4. [Sec. III C, Fig. 5] The confirmation of the mechanism by superimposing particle positions on the effective potential landscape is only visual. A quantitative measure—for example, the correlation between time-averaged particle density and the effective potential, or the fraction of particles within a threshold distance of the potential minima—would strengthen the claim. Without such a measure, Fig. 5 cannot rule out alternative explanations, especially for the blurrier second cluster and second void phases at lower frequencies.
minor comments (6)
  1. [Fig. 3] The axis labels in Fig. 3 contain corrupted text ('1st cl ster u', '1st vo d i', '2nd cl ster u', '2nd vo d i') that should be corrected.
  2. [Appendix A] In the sentence 'where d is the the distance between two nearest lattice points', the word 'the' is repeated.
  3. [Throughout] The term 'gyroscopic motion' is used where 'circular motion' or 'gyration' would be more standard, since no spin or precession is involved.
  4. [Sec. III C] The claim that the driving force is 'about 70 times larger' than the other forces is not derived anywhere; if it is to be kept, it should be substantiated with the actual force ratios implied by the simulation parameters.
  5. [Sec. II, Eq. (4)] The NUI normalization factor σmax = 0.137 is read from the data as the maximum over the studied frequency range; this is acceptable for rescaling, but the text should clarify that this data-dependent choice does not affect the peak positions, only the vertical scale.
  6. [Sec. III A] The empirical constant c in Eq. (2) is taken from a chemical engineering reference [70]; the transferability of this value to dusty plasma conditions is not discussed and should be commented on when the sensitivity analysis is added.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: Eq. (5) is a parameter-free geometric prediction, and the DPP/NUI diagnostics are not inputs to it.

full rationale

The central prediction is Eq. (5), derived in Appendix A from the free-particle gyroradius R = A/(mω²) and the triangular-lattice neighbor distances d_β, using only the stated simulation parameters (A/F0 = 20, d = 10.183a, ω_pd). It does not use the DPP or NUI data as inputs, so the frequency comparison in Table I is an external check rather than a fit. The DPP threshold constant c = 1.75 in Eq. (2) and the NUI normalization 0.137 in Eq. (4) are tuned to the simulated configurations, but they affect only the magnitudes of the diagnostics, not the locations of the reported peaks (ω/ωpd ≈ 3.2, 1.35, 1.0, 0.85); the peaks themselves are read from the simulation. The unsupported assertion in Sec. III C that the driving force is 'about 70 times larger' than the substrate and interparticle forces is a robustness concern: if the free-orbit radius A/(mω²) were inaccurate, the predicted frequencies would shift, but this is a correctness risk rather than a circular reduction. The matching of observed peaks to a subset of Table I entries is somewhat permissive because the table lists many symmetry values, but Eq. (5) would stand or fail independently of the observed peaks. No load-bearing self-citation was found: prior works by the same authors are cited for standard simulation details or the substrate potential form, not for the resonance condition. Overall, the derivation chain is not equivalent to its inputs by construction.

Assumptions & free parameters 2 free parameters · 5 assumptions · 0 invented entities

The central claim rests on the free-particle gyration idealization (R = A/mω^2), the time-averaged potential picture, and standard Langevin/Yukawa modeling. The only fitted constants are the DPP threshold c and the NUI normalization factor; these affect diagnostics but not the geometric frequency prediction.

free parameters (2)
  • c (dense/dilute threshold constant) = 1.75
    In Eq. (2), c is chosen empirically so that the classification 'correctly distinguishes' dense and dilute particles, matching the visual snapshot in Fig. 1.
  • σmax (NUI normalization factor) = 0.137
    In Eq. (4), σmax is set to the maximum value reached by σ(n(x,y)) over all simulated frequencies; it rescales the NUI but does not change the location of its peaks.
assumptions (5)
  • domain assumption Langevin dynamics with Yukawa repulsion accurately models a 2D dusty plasma.
    Used throughout the simulation, Sec. II; standard for this field, cited to refs [30, 31, 63].
  • standard math A free particle under the circularly oscillatory force alone moves on a circle of radius R = A/(mω^2).
    Used in Sec. III C and Appendix A to derive Eq. (5); exact for a free particle, but here particles also feel substrate and interparticle forces.
  • ad hoc to paper The oscillatory driving force is much larger than the substrate and interparticle forces, so the free-particle orbit is a good approximation.
    Stated in Sec. III C as 'about 70 times larger' without a quantitative derivation; this is load-bearing for the effective potential picture.
  • domain assumption The time-averaged potential landscape in the moving frame determines the particle arrangement.
    Central interpretive hypothesis, supported by Fig. 5 overlays, but not derived from first principles.
  • standard math The βth-nearest neighbor distance formula in a triangular lattice, Eq. (7).
    Used in Appendix A to derive Eq. (5); standard lattice geometry.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Cyclic phase transition of substrate-modulated 2D dusty plasma driven by oscillatory forces." pith.science (2026). https://pith.science/paper/KJXGQ5VO

@misc{pith2026241117647,
  author       = {Pith},
  title        = {Pith review of: Cyclic phase transition of substrate-modulated 2D dusty plasma driven by oscillatory forces},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/KJXGQ5VO}},
  note         = {Machine review of arXiv:2411.17647}
}
read the original abstract

Langevin dynamical simulations are performed to investigate the formation of clusters and voids of a two-dimensional-periodic-substrate (2DPS) modulated two-dimensional dusty plasma (2DDP) driven by an oscillatory force. It is discovered that, as the frequency of the oscillatory force decreases gradually, the substrate-modulated 2DDP undergoes the cyclic transition of the ordered cluster and void phases. Between the observed ordered cluster and void phases, the studied 2DDP exhibits a more uniform arrangement of particles. The discovered cyclic transition is attributed to the symmetry of the time-averaged potential landscape due to the 2DPS in the reference frame of the moving particle, as confirmed by superimposing the particle locations on the effective potential landscape under various conditions.

Figures

Figures reproduced from arXiv: 2411.17647 by the authors.

Figure 2
Figure 2. FIG. 2: Typical snapshots of particle positions of the same [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3: Variations of our calculated dense particle proportion [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. FIG. 4: Sketches of orbits (solid circles) of the centers of 7 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figures from the paper (2 more)
Figure 5
Figure 5. Figure 5: FIG. 5: Contour plot of the time-averaged potential landscape in the reference frame of the moving particle superimposed by [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6: Geometry of orbits of the centers of a potential well [PITH_FULL_IMAGE:figures/full_fig_p007_6.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

71 extracted references · 71 canonical work pages

  1. [1]

    Novel Col- loidal Crystalline States on Two-Dimensional Periodic Substrates

    C. Reichhardt and C. J. O. Reichhardt, “Novel Col- loidal Crystalline States on Two-Dimensional Periodic Substrates” , Phys. Rev. Lett. 88, 248301 (2002)

    work page 2002

  2. [2]

    Phase Behavior of Col- loidal Molecular Crystals on Triangular Light Lattices

    M. Brunner and C. Bechinger, “Phase Behavior of Col- loidal Molecular Crystals on Triangular Light Lattices” , Phys. Rev. Lett. 88, 248302 (2002)

    work page 2002

  3. [3]

    Phase Transitions of Colloidal Monolayers in Periodic Pinning Arrays

    K. Mangold, P. Leiderer, and C. Bechinger, “Phase Transitions of Colloidal Monolayers in Periodic Pinning Arrays” , Phys. Rev. Lett. 90, 158302 (2003)

    work page 2003

  4. [4]

    Engineering of frustra- tion in colloidal artificial ices realized on microfeatured grooved lattices

    A. Ortiz-Ambriz and P. Tierno, “Engineering of frustra- tion in colloidal artificial ices realized on microfeatured grooved lattices” , Nat. Commun. 7, 10575 (2016)

    work page 2016

  5. [5]

    Direct Observa- tion of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects

    K. Harada, O. Kamimura, H. Kasai, T. Matsuda, A. Tonomura, and V. V. Moshchalkov, “Direct Observa- tion of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects” , Science. 274, 1167 (1996)

    work page 1996

  6. [6]

    Com- mensurate and incommensurate vortex states in super- conductors with periodic pinning arrays

    C. Reichhardt, C. J. O. Reichhardt, and F. Nor, “Com- mensurate and incommensurate vortex states in super- conductors with periodic pinning arrays” , Phys. Rev. B. 57, 7937 (1998)

    work page 1998

  7. [7]

    Symmetry Locking and Commensurate Vortex Domain Formation in Periodic Pinning Arrays

    A. N. Grigorenko, S. J. Bending, M. J. Van Bael, M. Lange, V. V. Moshchalkov, H. Fangohr, P. A. J. de Groot, “Symmetry Locking and Commensurate Vortex Domain Formation in Periodic Pinning Arrays” , Phys. Rev. Lett. 90, 237001 (2003)

    work page 2003

  8. [8]

    Observa- tion of Vortex Pinning in Bose-Einstein Condensates

    S. Tung, V. Schweikhard, and E. A. Cornell, “Observa- tion of Vortex Pinning in Bose-Einstein Condensates” , Phys. Rev. Lett. 97, 240402 (2006)

    work page 2006

Show all 71 references
  1. [9]

    Ultracold quantum gases in optical lattices

    I. Bloch, “Ultracold quantum gases in optical lattices” , Nat. Phys. 1, 23 (2005)

    2005

  2. [10]

    Depinning and nonequilibrium dynamic phases of particle assem- blies driven over random and ordered substrates: a re- view

    C. Reichhardt and C. J. O. Reichhardt, “Depinning and nonequilibrium dynamic phases of particle assem- blies driven over random and ordered substrates: a re- view” , Rep. Prog. Phys. 80, 026501 (2017)

    2017

  3. [11]

    Observa- tion of kinks and antikinks in colloidal monolayers driven across ordered surfaces

    T. Bohlein, J. Mikhael, and C. Bechinger, “Observa- tion of kinks and antikinks in colloidal monolayers driven across ordered surfaces” , Nat. Mater. 11, 126 (2012)

    2012

  4. [12]

    Transition from turbulent to nearly laminar vortex flow in superconductors with periodic pinning

    J. Gutierrez, A. V. Silhanek, J. Van de Vondel, W. Gilli- jns, and V. V. Moshchalkov, “Transition from turbulent to nearly laminar vortex flow in superconductors with periodic pinning” , Phys. Rev. B. 80, 140514 (2009)

    2009

  5. [13]

    Shapiro steps in a superconducting film with an antidot lattice

    L. Van Look, E. Rosseel, M. J. Van Bael, K. Temst, V. V. Moshchalkov, and Y. Bruynseraede, “ Shapiro steps in a superconducting film with an antidot lattice” , Phys. Rev. B. 60, R6998 (1999)

    1999

  6. [14]

    Statics and dy- namics of Yukawa cluster crystals on ordered substrates

    C. Reichhardt and C. J. O. Reichhardt, “Statics and dy- namics of Yukawa cluster crystals on ordered substrates” , Phys. Rev. E. 85, 051401 (2012)

    2012

  7. [15]

    Role of edge supercon- ducting states in trapping of multi-quanta vortices by microholes

    A. Bezryadin and B. Pannetier, “Role of edge supercon- ducting states in trapping of multi-quanta vortices by microholes”, J. Low Temp. Phys. 102, 73 (1996)

    1996

  8. [16]

    Liquid-Gas Phase Separation in Confined Vibrated Dry Granular Matter

    K. Roeller, J. P. D. Clewett, R. M. Bowley, S. Herming- haus, and M. R. Swift, “Liquid-Gas Phase Separation in Confined Vibrated Dry Granular Matter” , Phys. Rev. Lett. 107, 048002 (2011)

    2011

  9. [17]

    Patterns and collec- tive behavior in granular media: Theoretical concepts

    I. S. Aranson and L. S. Tsimring, “Patterns and collec- tive behavior in granular media: Theoretical concepts” , Rev. Mod. Phys. 78, 641 (2006)

    2006

  10. [18]

    Pattern formation outside of equilibrium

    M. C. Cross and P. C. Hohenberg, “Pattern formation outside of equilibrium” , Rev. Mod. Phys. 65, 851 (1993)

    1993

  11. [19]

    Spatiotemporal Bi- furcation Phenomena with Temporal Period Doubling: Patterns in Vibrated Sand

    S. C. Venkataramani and E. Ott, “Spatiotemporal Bi- furcation Phenomena with Temporal Period Doubling: Patterns in Vibrated Sand” , Phys. Rev. Lett. 80, 3495 (1998)

    1998

  12. [20]

    Periodic and Disordered Structures in a Modu- lated Gas-Driven Granular Layer

    J. Li, I. S. Aranson, W. K. Kwok, and L. S. Tsim- ring, “Periodic and Disordered Structures in a Modu- lated Gas-Driven Granular Layer” , Phys. Rev. Lett. 90, 134301 (2003)

    2003

  13. [21]

    Direct observation of coulomb crys- tals and liquids in strongly coupled rf dusty plasmas

    J. H. Chu and L. I, “Direct observation of coulomb crys- tals and liquids in strongly coupled rf dusty plasmas”, Phys. Rev. Lett. 72, 4009 (1994)

    1994

  14. [22]

    Plasma crystal: Coulomb crystallization in a dusty plasma

    H. Thomas, G. E. Morfill, V. Demmel, J. Goree, B. Feuer- bacher, and D. M¨ ohlmann, “Plasma crystal: Coulomb crystallization in a dusty plasma”, Phys. Rev. Lett. 73, 652 (1994)

    1994

  15. [23]

    Melting dynamics of a plasma crystal

    H. M. Thomas and G. E. Morfill, “Melting dynamics of a plasma crystal”, Nature. 379, 806 (1996)

    1996

  16. [24]

    Micro- scopic particle motions in strongly coupled dusty plas- mas

    L. I, W. T. Juan, C. H. Chiang, and J. H. Chu, “Micro- scopic particle motions in strongly coupled dusty plas- mas” , Science. 272, 1626 (1996)

    1996

  17. [25]

    Experimental in- vestigation of the melting transition of the plasma crys- tal

    A. Melzer, A. Homann, and A. Piel, “Experimental in- vestigation of the melting transition of the plasma crys- tal” , Phys. Rev. E. 53 , 2757 (1996)

    1996

  18. [26]

    Dusty plasmas in the laboratory, industry, and space

    R. L. Merlino and J. A. Goree, “Dusty plasmas in the laboratory, industry, and space” , Phys. Today. 57(7), 32 (2004)

    2004

  19. [27]

    Application of stereoscopic particle image velocimetry to studies of transport in a dusty (complex) plasma

    E. Thomas, J. D. Williams, and J. Silver, “Application of stereoscopic particle image velocimetry to studies of transport in a dusty (complex) plasma” , Phys. Plasmas. 11, L37 (2004)

    2004

  20. [28]

    Complex (dusty) plasmas: Cur- 9 rent status, open issues, perspectives

    V. E. Fortov, A. V. Ivlev, S. A. Khrapak, A. G. Khra- pak, and G. E. Morfill, “Complex (dusty) plasmas: Cur- 9 rent status, open issues, perspectives” , Phys. Rep. 421, 1–103 (2005)

    2005

  21. [29]

    Solid superheat- ing observed in two-dimensional strongly coupled dusty plasma

    Y. Feng, J. Goree, and B. Liu, “Solid superheat- ing observed in two-dimensional strongly coupled dusty plasma” , Phys. Rev. Lett. 100, 205007 (2008)

    2008

  22. [30]

    Complex plasmas: An interdisciplinary research field

    G. E. Morfill and A. V. Ivlev, “Complex plasmas: An interdisciplinary research field” , Rev. Mod. Phys. 81 , 1353 (2009)

    2009

  23. [31]

    Complex plas- mas: A laboratory for strong correlations

    M. Bonitz, C. Henning, and D. Block, “Complex plas- mas: A laboratory for strong correlations” , Rep. Prog. Phys. 73, 066501 (2010)

    2010

  24. [32]

    Slow Dynamics in a Quasi- Two-Dimensional Binary Complex Plasma

    C. R. Du, V. Nosenko, H. M. Thomas, Y. F. Lin, G. E. Morfill, and A. V. Ivlev, “Slow Dynamics in a Quasi- Two-Dimensional Binary Complex Plasma” , Phys. Rev. Lett. 123, 185002 (2019)

    2019

  25. [33]

    Experimental Demonstration of a Dusty Plasma Ratchet Rectification and Its Reversa

    Y. He, B. Ai, C. Dai, C. Song, R. Wang, W. Sun, F. Liu, and Y. Feng, “Experimental Demonstration of a Dusty Plasma Ratchet Rectification and Its Reversa” , Phys. Rev. Lett. 124, 075001 (2020)

    2020

  26. [34]

    Square Lattice Formation in a Monodisperse Complex Plasma

    S. Singh, P. Bandyopadhyay, K. Kumar, and A. Sen, “Square Lattice Formation in a Monodisperse Complex Plasma” , Phys. Rev. Lett. 129, 115003 (2022)

    2022

  27. [35]

    Physics and applications of dusty plasmas: The Per- spectives 2023

    J. Beckers, J. Berndt, D. Block, M. Bonitz, P. J. Brugge- man, L. Cou¨ edel, G. L. Delzanno, Y. Feng, R. Gopalakr- ishnan, F. Greiner, P. Hartmann, M. Horanyi, H. Ker- sten, C. A. Knapek, U. Konopka, U. Kortshagen, E. G. Kostadinova, E. Kovacevic, S. I. Krasheninnikov, I. Mann...

    2023

  28. [36]

    Evolution of shear- induced melting in a dusty plasma

    Y. Feng, J. Goree, and B. Liu, “Evolution of shear- induced melting in a dusty plasma” , Phys. Rev. Lett. 104, 165003 (2010)

    2010

  29. [37]

    Thermal conductivity of strongly cou- pled Yukawa fluids

    S. A. Khrapak, “Thermal conductivity of strongly cou- pled Yukawa fluids” , Phys. Plasmas. 28, 084501 (2021)

    2021

  30. [38]

    Slow plastic creep of 2D dusty plasma solids

    P. Hartmann, A. Z. Kovacs, A. M. Douglass, J. C. Reyes, L. S. Matthews, and T. W. Hyde, “Slow plastic creep of 2D dusty plasma solids” , Phys. Rev. Lett. 113, 025002 (2014)

    2014

  31. [39]

    Viscoelasticity of 2D Liq- uids Quantified in a Dusty Plasma Experiment

    Y. Feng, J. Goree, and B. Liu, “Viscoelasticity of 2D Liq- uids Quantified in a Dusty Plasma Experiment” , Phys. Rev. Lett. 105, 025002 (2010)

    2010

  32. [40]

    Melting curve of two- dimensional Yukawa systems predicted by isomorph the- ory

    N. Yu, D. Huang, and Y. Feng, “Melting curve of two- dimensional Yukawa systems predicted by isomorph the- ory” , Phys. Rev. E. 109, 065212 (2024)

    2024

  33. [41]

    Structural Properties of Screened Coulomb Balls

    M. Bonitz, D. Block, O. Arp, V. Golubnychiy, H. Baum- gartner, P. Ludwig, A. Piel, and A. Filinov, “Structural Properties of Screened Coulomb Balls” , Phys. Rev. Lett. 96, 075001 (2006)

    2006

  34. [42]

    Measurement of the interaction potential of microspheres in the sheath of a rf discharge

    U. Konopka, G. E. Mofill, and L. Ratke, “Measurement of the interaction potential of microspheres in the sheath of a rf discharge” , Phys. Rev. Lett. 84, 891 (2000)

    2000

  35. [43]

    Ra- diation pressure and gas drag forces on a melamine- formaldehyde microsphere in a dusty plasma

    B. Liu, J. Goree, V. Nosenko, and L. Boufendi, “Ra- diation pressure and gas drag forces on a melamine- formaldehyde microsphere in a dusty plasma” , Phys. Plasmas. 10, 9 (2003)

    2003

  36. [44]

    Green- Kubo relation for viscosity tested using experimental data for a two-dimensional dusty plasma

    Y. Feng, J. Goree, B. Liu, and E. G. D. Cohen, “Green- Kubo relation for viscosity tested using experimental data for a two-dimensional dusty plasma” , Phys. Rev. E. 84, 046412 (2011)

    2011

  37. [45]

    Mode coupling and resonance insta- bilities in quasi-two-dimensional dust clusters in complex plasmas

    K. Qiao, J. Kong, J. Carmona-Reyes, L. S. Matthews, and T. W. Hyde, “Mode coupling and resonance insta- bilities in quasi-two-dimensional dust clusters in complex plasmas” , Phys. Rev. E. 90, 033109 (2014)

    2014

  38. [46]

    Accurate measurement of particle positions from images

    Y. Feng, J. Goree, and B. Liu, “Accurate measurement of particle positions from images”, Rev. Sci. Instrum. 78, 053704 (2007)

    2007

  39. [47]

    Errors in particle tracking velocimetry with high-speed cameras

    Y. Feng, J. Goree, and B. Liu, “Errors in particle tracking velocimetry with high-speed cameras”, Rev. Sci. Instrum. 82, 053707 (2011)

    2011

  40. [48]

    Particle position and veloc- ity measurement in dusty plasmas using particle tracking velocimetry

    Y. Feng, J. Goree, Z. Haralson, C. S. Wong, A. Kananovich, and W. Li, “Particle position and veloc- ity measurement in dusty plasmas using particle tracking velocimetry” , J. Plasma Phys. 82, 615820303 (2016)

    2016

  41. [49]

    Shear flows and shear viscos- ity in a two-dimensional Yukawa system (dusty plasma)

    V. Nosenko and J. Goree, “Shear flows and shear viscos- ity in a two-dimensional Yukawa system (dusty plasma)” , Phys. Rev. Lett. 93, 155004 (2004)

    2004

  42. [50]

    Shear Viscosity and Shear Thinning in Two- Dimensional Yukawa Liquids

    Z. Donk´ o, J. Goree, P. Hartmann, and K. Ku- tasi, “Shear Viscosity and Shear Thinning in Two- Dimensional Yukawa Liquids” , Phys. Rev. Lett. 96, 145003 (2006)

    2006

  43. [51]

    Is Diffusion Anomalous in Two Dimensional Yukawa Liquids?

    T. Ott and M. Bonitz, “Is Diffusion Anomalous in Two Dimensional Yukawa Liquids?” , Phys. Rev. Lett. 103, 195001 (2009)

    2009

  44. [52]

    Origin of viscosity at individual particle level in Yukawa liquids

    D. Huang, S. Lu, M. S. Murillo, and Y. Feng, “Origin of viscosity at individual particle level in Yukawa liquids” , Phys. Rev. Research. 4, 033064 (2022)

    2022

  45. [53]

    Re- vealing the supercritical dynamics of dusty plasmas and their liquidlike to gaslike dynamical crossover

    D. Huang, M. Baggioli, S. Lu, Z. Ma, and Y. Feng, “Re- vealing the supercritical dynamics of dusty plasmas and their liquidlike to gaslike dynamical crossover” , Phys. Rev. Research. 5, 013149 (2023)

    2023

  46. [54]

    Effect of magnetic field on the phase transition in a dusty plasma

    S. Jaiswal, T. Hall, S. LeBlanc, R. Mukherjee, and E. Thomas, “Effect of magnetic field on the phase transition in a dusty plasma” , Phys. Plasmas. 24 , 113703 (2017)

    2017

  47. [55]

    Phonon spec- tra of two-dimensional liquid dusty plasmas on a one- dimensional periodic substrate

    W. Li, D. Huang, K. Wang, C. Reichhardt, C. J. O. Reichhardt, M. S. Murillo, and Y. Feng, “Phonon spec- tra of two-dimensional liquid dusty plasmas on a one- dimensional periodic substrate” , Phys. Rev. E. 98, 063203 (2018)

    2018

  48. [56]

    Structure and dynamical properties of two-dimensional dusty plasmas on one-dimensional peri- odic substrates

    Y. Feng, W. Li, C. Reichhardt, C. J. O. Reichhardt, and M. S. Murillo, “Structure and dynamical properties of two-dimensional dusty plasmas on one-dimensional peri- odic substrates” , Phys. Plasmas. 28, 040501 (2021)

    2021

  49. [57]

    Oscillation-like diffusion of two- dimensional liquid dusty plasmas on one-dimensional pe- riodic substrates with varied widths

    W. Li, C. Reichhardt, C. J. O. Reichhardt, M. S. Murillo, and Y. Feng, “Oscillation-like diffusion of two- dimensional liquid dusty plasmas on one-dimensional pe- riodic substrates with varied widths” , Phys. Plasmas. 27, 033702 (2020)

    2020

  50. [58]

    Continuous and discontinu- ous transitions in the depinning of two-dimensional dusty plasmas on a one-dimensional periodic substrate

    L. Gu, W. Li, C. Reichhardt, C. J. O. Reichhardt, M. S. Murillo, and Y. Feng, “Continuous and discontinu- ous transitions in the depinning of two-dimensional dusty plasmas on a one-dimensional periodic substrate” , Phys. Rev. E. 102, 063203 (2020)

    2020

  51. [59]

    Bidirectional flow of two-dimensional dusty plasma under asymmetric periodic substrates driven by unbiased external excitations

    W. Li, D. Huang, C. Reichhardt, C. J. O. Reichhardt, and Y. Feng, “Bidirectional flow of two-dimensional dusty plasma under asymmetric periodic substrates driven by unbiased external excitations” , Phys. Rev. Re- search. 5, 023008 (2023)

    2023

  52. [60]

    Directional locking in a two-dimensional Yukawa solid modulated by a two-dimensional periodic substrate

    W. Zhu, C. Reichhardt, C. J. O. Reichhardt, and Y. Feng, “Directional locking in a two-dimensional Yukawa solid modulated by a two-dimensional periodic substrate” , Phys. Rev. E. 106, 015202 (2022)

    2022

  53. [61]

    Superlubric-pinned transition of a two- dimensional solid dusty plasma under a periodic trian- 10 gular substrate

    Y. Huang, C. Reichhardt, C. J. O. Reichhardt, and Y. Feng, “Superlubric-pinned transition of a two- dimensional solid dusty plasma under a periodic trian- 10 gular substrate” , Phys. Rev. E. 106, 035204 (2022)

    2022

  54. [62]

    Dynamical commensuration effect in a two-dimensional Yukawa solid modulated by periodic substrates

    W. Zhu, C. Reichhardt, C. J. O. Reichhardt, and Y. Feng, “Dynamical commensuration effect in a two-dimensional Yukawa solid modulated by periodic substrates” , Phys. Plasmas. 30, 043702 (2023)

    2023

  55. [63]

    Two Dimensional Yukawa Liquids: Correlation and Dynamics

    G. J. Kalman, P. Hartmann, Z. Donk´ o, and M. Rosen- berg, “Two Dimensional Yukawa Liquids: Correlation and Dynamics” , Phys. Rev. Lett. 92, 065001 (2004)

    2004

  56. [64]

    Trans- verse optical mode in a one-dimensional Yukawa chain

    B. Liu, J. Goree, V. Nosenko, and L. Boufendi, “Trans- verse optical mode in a one-dimensional Yukawa chain” , Phys. Plasmas. 10, 9 (2003)

    2003

  57. [65]

    Extracting forces from noisy dynamics in dusty plasmas

    W. Yu, J. Cho, and J. C. Burton, “Extracting forces from noisy dynamics in dusty plasmas” , Phys. Rev. E. 106, 035303 (2022)

    2022

  58. [66]

    Al- gorithms for brownian dynamics

    W. F. van Gunsteren and H. J. C. Berendsen, “Al- gorithms for brownian dynamics” , Mol. Phys. 45 , 637 (1982)

    1982

  59. [67]

    Ratchet ef- fect and nonlinear transport for particles on random substrates with crossed ac drives

    C. Reichhardt and C. J. O. Reichhardt, “Ratchet ef- fect and nonlinear transport for particles on random substrates with crossed ac drives” , Phys. Rev. E. 73, 011102 (2006)

    2006

  60. [68]

    Equilibrium properties and phase diagram of two-dimensional Yukawa systems

    P. Hartmann, G. J. Kalman, Z. Donk´ o, and K. Ku- tasi, “Equilibrium properties and phase diagram of two-dimensional Yukawa systems” , Phys. Rev. E. 72, 026409 (2005)

    2005

  61. [69]

    Shear Viscosity of Two- Dimensional Yukawa Systems in the Liquid State

    B. Liu and J. Goree, “Shear Viscosity of Two- Dimensional Yukawa Systems in the Liquid State” , Phys. Rev. Lett. 94, 185002 (2005)

    2005

  62. [70]

    Eulerian simulation of heterogeneous gas-solid flows in CFB risers: EMMS- based sub-grid scale model with a revised cluster descrip- tion

    J. W. Wang, W. Ge, and J. H. Li, “Eulerian simulation of heterogeneous gas-solid flows in CFB risers: EMMS- based sub-grid scale model with a revised cluster descrip- tion” , Chem. Eng. Sci. 63, 1553 (2008)

    2008

  63. [71]

    Radial nonuniformity index (RNI) in fluidized beds and other multiphase flow systems

    J. X. Zhu and S. V. Manyele, “Radial nonuniformity index (RNI) in fluidized beds and other multiphase flow systems” , Can. J. Chem. Eng. 79, 203 (2001)

    2001

Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.