Superfluid ³He aerogel experiments as a laboratory neutron star analogue
Pith reviewed 2026-05-25 06:23 UTC · model grok-4.3
The pith
Superfluid helium experiments in aerogels identify two distinct pinned vortex regimes that apply to neutron stars.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Vortex experiments in superfluid 3He aerogels exhibit two regimes of pinned vortex (non-)dynamics. In crust-like aerogel, vortices depin once the ambient superflow becomes fast enough. In core-like aerogel, pinned vortices are never released and rotational velocity changes are instead accommodated by the avalanche-like production of new vortices. These regimes are extracted from point-vortex simulations and are argued to apply directly inside neutron stars.
What carries the argument
A point-vortex simulation that models the dynamics inside crust-like and core-like aerogels to extract the two regimes of pinned vortex (non-)dynamics.
If this is right
- In crust-like conditions vortices depin above a critical superflow speed.
- In core-like conditions pinned vortices remain fixed and spin changes occur only through avalanche creation of new vortices.
- The same two regimes govern the superfluid components of neutron stars.
- Neutron-star glitch observations can therefore be re-analyzed using the laboratory-derived pinning rules.
Where Pith is reading between the lines
- Aerogel samples could be engineered with controlled pore sizes to isolate the effect of pinning strength on glitch size distributions.
- The avalanche mechanism supplies a concrete prediction for the power-law statistics of large glitches that could be checked against existing pulsar timing data.
- Similar pinning regimes might appear in other laboratory superfluids such as ultracold atomic gases, allowing cross-system tests of the depinning threshold.
Load-bearing premise
The aerogel pinning environments and length scales are sufficiently similar to neutron-star crust and core that the simulated vortex regimes transfer directly without major corrections for density, temperature, or interaction differences.
What would settle it
A statistical comparison of neutron-star glitch sizes and waiting times against the depinning thresholds and avalanche rates measured or simulated in the two aerogel regimes would confirm or refute the claimed applicability.
Figures
read the original abstract
Neutron stars make a unique astrophysical test bench for our understanding of quantum physics at kilometre scales. The rotation of a neutron star features glitches, sudden spin-ups that interrupt the otherwise regular stellar spin-down, which are often attributed to the dynamics of pinned quantised vortices in one or several of the superfluid phases inside the star. Laboratory experiments probing superfluid vortices have inspired neutron star theory and simulations from the beginning. Here we argue that vortex experiments in superfluids contained in aerogels show phenomenology that offers a highly appealing but vastly unexplored analogue for neutron star physics. We build a point-vortex simulation that allows analysing experiments in a crust-like and a core-like aerogel, extracting two different regimes of pinned vortex (non-)dynamics and validating a microscopic picture of very strong vortex pinning. In the crust-like aerogel, vortices get depinned once the ambient superflow is fast enough, while in the core-like aerogel pinned vortices are never released and rotational velocity changes are accommodated by the avalanche-like production of new vortices instead. Finally, we show that these concepts should apply also in neutron stars and may thus revolutionise the analysis of neutron star observations.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims that point-vortex simulations of superfluid 3He in aerogels identify two distinct regimes of pinned vortex dynamics (ambient-superflow depinning in crust-like aerogel; avalanche creation of new vortices in core-like aerogel) that serve as direct laboratory analogues for neutron-star superfluids and can revolutionize the interpretation of neutron-star glitch observations.
Significance. If the aerogel-to-neutron-star mapping is valid, the work would provide a valuable new experimental window on vortex pinning and unpinning at laboratory-accessible scales, strengthening the link between quantum-fluid experiments and astrophysical superfluid dynamics. The explicit identification of two qualitatively different pinning regimes is a clear strength of the simulation approach.
major comments (1)
- [Abstract / neutron-star extrapolation section] Abstract (final paragraph) and the section presenting the neutron-star extrapolation: the headline claim that the two simulated regimes 'should apply also in neutron stars' rests on the untested premise that pinning length scales, vortex-pin interaction strengths and critical velocities map without order-unity corrections. No derivation of the required dimensionless ratios (accounting for the ~10^14 density contrast, 10^8–10^10 temperature contrast, and neutron versus 3He pairing) is provided, making the direct transferability assertion load-bearing for the central astrophysical claim.
Simulated Author's Rebuttal
We thank the referee for the careful reading and constructive feedback. We appreciate the positive assessment of the simulation results and their potential significance. We address the single major comment below.
read point-by-point responses
-
Referee: [Abstract / neutron-star extrapolation section] Abstract (final paragraph) and the section presenting the neutron-star extrapolation: the headline claim that the two simulated regimes 'should apply also in neutron stars' rests on the untested premise that pinning length scales, vortex-pin interaction strengths and critical velocities map without order-unity corrections. No derivation of the required dimensionless ratios (accounting for the ~10^14 density contrast, 10^8–10^10 temperature contrast, and neutron versus 3He pairing) is provided, making the direct transferability assertion load-bearing for the central astrophysical claim.
Authors: We agree that the manuscript would benefit from a more explicit discussion of the mapping. The central claim is that the two qualitatively distinct pinned-vortex regimes identified in the simulations (ambient-superflow depinning versus avalanche creation) arise from generic features of strong pinning and should therefore be relevant to neutron-star interiors. While the paper does not contain a full derivation of all dimensionless ratios, the underlying vortex dynamics are governed by the same hydrodynamic equations and pinning phenomenology in both systems. In the revised manuscript we will add a dedicated subsection that estimates the key dimensionless groups (pinning length relative to intervortex spacing, critical velocity scaled to the ambient superflow, and the ratio of pinning energy to thermal energy), incorporating the stated density and temperature contrasts together with the difference between neutron and 3He pairing. This addition will clarify where order-unity corrections are expected and will allow us to qualify the language in both the abstract and the extrapolation section accordingly. revision: yes
Circularity Check
No circularity detected in derivation chain
full rationale
The paper constructs a point-vortex simulation to analyze aerogel experiments, extracts two pinned-vortex regimes from those runs, and then qualitatively asserts applicability to neutron stars. No equations, fitted parameters, or self-citations are shown that reduce the extracted regimes or the neutron-star mapping to the simulation inputs by construction. The simulation outputs and the final analogy are independent of any target neutron-star data; the derivation chain therefore remains self-contained.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
is composed of 98% empty space with disordered, interconnected spherical silica particles ( d ≈ 5 nm) form- 3 FIG. 1. Superfluid 3He as a laboratory neutron star simulator: ( a) A neutron star is composed of ( b) an s-wave neutron superfluid with an underlying solid lattice in the crust and a p-wave neutron superfluid with an underlying array of flux tubes ho...
-
[2]
is of cylindrical shape with radius R = 2. 6 mm. Experimental observations The superfluid 3He placed within the crust-like silica aerogel is in the B phase [ 7], which for the purposes of vortex mechanics is as close to an s-wave system as one can get in superfluid 3He; the B phase gap spectrum is (nearly) isotropic. Thus, the pinning force and the Mag- nus...
work page 2000
-
[3]
and qualitatively supported by the phenomenology of vortex avalanches observed in superconducting films [ 63]. That is, the observed bursts of vortices enter as disor- dered branches, spreading inwards from the points where the superflow first reaches the critical value vc ≈ 2 mm/s at the container side wall centres. The microscopic pro- cess creating these ...
-
[4]
by, say, only updating the positions and flow con- tributions of those vortices that are outside a threshold radius for vortex motion (see Fig. 2). Phenomenologi- cal simulations of vortex nucleation avalanches in a neu- tron star (and the core-like aerogel) will require devel- oping new simulation techniques, but the immobility of the vortices once create...
-
[6]
G. Baym, C. Pethick, and D. Pines, Superfluidity in Neu- tron Stars, Nature 224, 673 (1969)
work page 1969
-
[7]
T. S. Wood and V. Graber, Superconducting Phases in Neutron Star Cores, Universe 8, 228 (2022)
work page 2022
-
[8]
A. Basu, B. Shaw, D. Antonopoulou, M. J. Keith, A. G. Lyne, M. B. Mickaliger, B. W. Stappers, P. Weltevrede, and C. A. Jordan, The Jodrell bank glitch catalogue: 106 new rotational glitches in 70 pulsars, Monthly Notices of the Royal Astronomical Society 510, 4049 (2022)
work page 2022
-
[9]
D. Antonopoulou, B. Haskell, and C. M. Espinoza, Pulsar glitches: observations and physical interpretation, Re- ports on Progress in Physics (2022)
work page 2022
-
[10]
V. Dmitriev, A. Soldatov, and A. Yudin, Superfluid 3He in a nematic aerogel, Journal of Experimental and The- oretical Physics 131, 2 (2020)
work page 2020
- [11]
-
[12]
W. P. Halperin, Superfluid 3He in aerogel, Annual Re- view of Condensed Matter Physics 10, 155 (2019)
work page 2019
-
[13]
J. Pollanen, J. Li, C. Collett, W. Gannon, W. Halperin, and J. Sauls, New chiral phases of superfluid 3He stabi- lized by anisotropic silica aerogel, Nature Physics 8, 317 (2012)
work page 2012
-
[14]
V. V. Dmitriev, M. Kutuzov, A. A. Soldatov, and A. N. Yudin, Superfluid 3He in squeezed nematic aerogel, JETP Letters 110, 734 (2019)
work page 2019
- [15]
-
[16]
V. Dmitriev, M. Kutuzov, A. Mikheev, V. Morozov, A. Soldatov, and A. Yudin, Superfluid 3He in planar aero- gel, Physical Review B 102, 144507 (2020)
work page 2020
-
[17]
V. V. Dmitriev, A. A. Senin, A. A. Soldatov, and A. N. Yudin, Polar phase of superfluid 3He in anisotropic aero- gel, Phys. Rev. Lett. 115, 165304 (2015)
work page 2015
-
[18]
M. M. Salomaa and G. E. Volovik, Quantized vortices in superfluid 3He, Rev. Mod. Phys. 59, 533 (1987)
work page 1987
- [19]
-
[20]
V. M. H. Ruutu, J. Kopu, M. Krusius, U. Parts, B. Plaçais, E. V. Thuneberg, and W. Xu, Critical ve- locity of vortex nucleation in rotating superfluid 3He-A, Phys. Rev. Lett. 79, 5058 (1997)
work page 1997
- [21]
-
[22]
R. Rantanen and V. Eltsov, Competition of vortex core structures in superfluid 3He−B, Phys. Rev. Res. 6, 043112 (2024)
work page 2024
-
[23]
J. P. Pekola, J. T. Simola, P. J. Hakonen, M. Krusius, O. V. Lounasmaa, K. K. Nummila, G. Mamniashvili, R. E. Packard, and G. E. Volovik, Phase diagram of the first-order vortex-core transition in superfluid 3He- B, Phys. Rev. Lett. 53, 584 (1984)
work page 1984
-
[24]
M. A. Alpar, D. Pines, P. W. Anderson, and J. Shaham, Vortex creep and the internal temperature of neutron stars. I - General theory, Astrophys. J. 276, 325 (1984)
work page 1984
-
[25]
D. Rainer and M. Vuorio, Small objects in superfluid 3He, Journal of Physics C: Solid State Physics 10, 3093 (1977)
work page 1977
-
[26]
J. Mäkinen, V. Dmitriev, J. Nissinen, J. Rysti, G. Volovik, A. Yudin, K. Zhang, and V. Eltsov, Half- quantum vortices and walls bounded by strings in the polar-distorted phases of topological superfluid 3He, Na- ture Communications 10 (2019)
work page 2019
-
[27]
J. Li, J. Pollanen, A. Zimmerman, C. Collett, W. Gan- non, and W. Halperin, The superfluid glass phase of 3He- A, Nature Physics 9, 775 (2013)
work page 2013
-
[28]
G. Volovik, On larkin-imry-ma state of 3He-A in aerogel, Journal of Low Temperature Physics 150, 453 (2008)
work page 2008
- [29]
-
[30]
P. W. Anderson and N. Itoh, Pulsar glitches and restless- ness as a hard superfluidity phenomenon, Nature (Lon- don) 256, 25 (1975)
work page 1975
- [31]
- [32]
- [33]
-
[34]
G. E. Volovik, The Universe in a Helium Droplet (Oxford University Press, 2003)
work page 2003
-
[35]
M. Yamashita, A. Matsubara, R. Ishiguro, Y. Sasaki, Y. Kataoka, M. Kubota, O. Ishikawa, Y. M. Bunkov, T. Ohmi, T. Takagi, et al. , Pinning of texture and vor- tices of the rotating B-like phase of superfluid He-3 con- fined in a 98% aerogel, Physical review letters 94, 075301 (2005)
work page 2005
- [36]
-
[37]
B. Haskell, D. Antonopoulou, and C. Barenghi, Turbu- lent, pinned superfluids in neutron stars and pulsar glitch recoveries, Monthly Notices of the Royal Astronomical Society 499, 161 (2020)
work page 2020
-
[38]
Physics of Neutron Star Crusts
N. Chamel and P. Haensel, Physics of Neutron Star Crusts, Living Reviews in Relativity 11, 10 (2008) , arXiv:0812.3955 [astro-ph]
work page internal anchor Pith review Pith/arXiv arXiv 2008
-
[39]
Glitch rises as a test for rapid superfluid coupling in neutron stars
V. Graber, A. Cumming, and N. Andersson, Glitch Rises as a Test for Rapid Superfluid Coupling in Neu- tron Stars, The Astrophysical Journal 865, 23 (2018) , arXiv:1804.02706 [astro-ph.HE]
work page internal anchor Pith review Pith/arXiv arXiv 2018
-
[40]
Y. M. Bunkov, A. Chen, D. Cousins, and H. Godfrin, Semisuperfluidity of 3He in aerogel?, Physical Review Letters 85, 3456 (2000)
work page 2000
-
[41]
V. B. Eltsov, A. I. Golov, R. de Graaf, R. Hänninen, M. Krusius, V. S. L’vov, and R. E. Solntsev, Quantum turbulence in a propagating superfluid vortex front, Phys. Rev. Lett. 99, 265301 (2007)
work page 2007
- [42]
- [43]
- [44]
- [45]
- [46]
-
[47]
J. Sauls, Superfluidity in the interiors of neutron stars, in Timing Neutron Stars , NATO Advanced Study Insti- tute (ASI) Series C, Vol. 262, edited by H. Ögelman and E. P. J. van den Heuvel (1989) p. 457
work page 1989
-
[48]
Neutron Stars in the Laboratory
V. Graber, N. Andersson, and M. Hogg, Neutron stars in the laboratory, International Journal of Modern Physics D 26, 1730015-347 (2017) , arXiv:1610.06882 [astro- ph.HE]
work page internal anchor Pith review Pith/arXiv arXiv 2017
-
[49]
Superfluidity and Superconductivity in Neutron Stars
N. Chamel, Superfluidity and Superconductivity in Neu- tron Stars, Journal of Astrophysics and Astronomy 38, 43 (2017) , arXiv:1709.07288 [astro-ph.HE]
work page internal anchor Pith review Pith/arXiv arXiv 2017
-
[50]
V. E. Asadchikov, R. S. Askhadullin, V. V. Volkov, V. V. Dmitriev, N. K. Kitaeva, P. N. Martynov, A. A. Osipov, A. A. Senin, A. A. Soldatov, D. I. Chekrygina, and A. N. Yudin, Structure and properties of “nematically ordered” aerogels, JETP Lett. 101, 556 (2015)
work page 2015
-
[51]
V. P. Mineev, Nmr properties of the polar phase of su- perfluid 3he in anisotropic aerogel under rotation, J Low Temp. Phys. 184, 1007 (2016)
work page 2016
- [52]
- [53]
- [54]
-
[55]
V. M. H. Ruutu, V. B. Eltsov, A. J. Gill, W. B. Kibble, M. Krusius, Y. G. Makhlin, B. Placais, G. E. Volovik, and W. Xu, Vortex formation in neutron-irradiated su- perfluid 3He as an analogue of cosmological defect for- 15 mation, Nature 382, 334 (1996)
work page 1996
-
[56]
C. Bauerle, Y. M. Bunkov, S. N. Fisher, H. Godfrin, and G. R. Pickett, Laboratory simulation of cosmic string for- mation in the early universe using superfluid 3He, Nature 382, 332 (1996)
work page 1996
-
[57]
Y. M. Bunkov, A. I. Golov, V. S. L’vov, A. Pomyalov, and I. Procaccia, Evolution of a neutron-initiated micro big bang in superfluid 3He − B, Phys. Rev. B 90, 024508 (2014)
work page 2014
-
[58]
V. B. Eltsov, M. Krusius, and G. E. Volovik, Progr. in Low Temp. Phys. , Vol. XV, p. 1-137 (Elsevier, 2005)
work page 2005
-
[59]
R. Blaauwgeers, V. Eltsov, M. Krusius, J. Ruohio, R. Schanen, and G. Volovik, Double-quantum vortex in superfluid 3He-a, Nature 404, 471 (2000)
work page 2000
-
[60]
R. Rantanen, E. Thuneberg, and V. Eltsov, Structure of a single-quantum vortex in 3he-a, Journal of Low Tem- perature Physics 220, 88 (2025)
work page 2025
-
[61]
D. Vollhardt and P. Wölfle, The Superfluid Phases of Helium 3 (Dover Publications, 2013)
work page 2013
-
[62]
G. Volovik, Glass state of superfluid 3He-A in an aerogel, Journal of Experimental and Theoretical Physics Letters 63, 301 (1996)
work page 1996
-
[63]
V. V. Dmitriev, D. Krasnikhin, N. Mulders, A. Senin, G. E. Volovik, and A. Yudin, Orbital glass and spin glass states of 3He-A in aerogel, JETP letters 91, 599 (2010)
work page 2010
-
[64]
N. Kopnin and M. Salomaa, Mutual friction in superfluid he 3: Effects of bound states in the vortex core, Physical Review B 44, 9667 (1991)
work page 1991
-
[65]
V. P. Mineev, Half-quantum vortices in polar phase of superfluid 3He, J. Low Temp. Phys. 177, 48 (2014)
work page 2014
-
[66]
G. E. Volovik and V. P. Mineev, Line and point singlu- larities in superfluid 3He, JETP Lett. 24, 561 (1976)
work page 1976
-
[67]
E. Altshuler and T. Johansen, Colloquium: Experiments in vortex avalanches, Reviews of Modern Physics 76, 471 (2004)
work page 2004
- [68]
- [69]
-
[70]
superfluid 3He aerogel experiments as a lab- oratory neutron star analogue
S. Autti, V. Graber, and B. Haskell, Dataset for the manuscript "superfluid 3He aerogel experiments as a lab- oratory neutron star analogue" (2026). 16 TABLE I. Characteristics of superfluid 3He in terrestrial experiments vs neutron star (NS) superfluidity. We distinguish crust-like and core-like aerogels and provide relevant parameters for the NS crust and ...
work page 2026
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.