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arxiv: 2606.19884 · v1 · pith:TZGSNPLNnew · submitted 2026-06-18 · ⚛️ physics.flu-dyn · physics.chem-ph

Extraction of slip velocity in NEMD Couette flow systems using frictional dissipation

Hiroki Kusudo , Yasutaka Yamaguchi , Gota Kikugawa This is my paper

Pith reviewed 2026-06-26 15:55 UTC · model grok-4.3

classification ⚛️ physics.flu-dyn physics.chem-ph
keywords slip velocityfrictional dissipationNEMDCouette flowsolid-fluid interfacemolecular dynamicsfriction coefficientnanoscale flow
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The pith

Dissipation at the solid-fluid interface defines an unambiguous slip velocity in NEMD Couette flows.

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

The paper aims to remove arbitrariness from the definition of slip velocity in non-equilibrium molecular dynamics simulations of sheared fluids. Current methods pick the velocity of the first fluid layer or extrapolate to a boundary, but these choices are not unique because the interface has thickness. The new approach equates the macroscopic frictional heat, calculated as force times slip velocity, to the microscopic total work done by solid-fluid atomic interactions. This yields a slip velocity that is consistent with energy dissipation across scales.

Core claim

By equating the macroscale frictional heat, defined as the product of the friction force and the slip velocity, to the microscale sum of the works exerted by solid atoms on fluid atoms and vice versa, the authors obtain a unique slip velocity at the solid-fluid interface that is independent of arbitrary choices in locating the boundary at the atomic scale.

What carries the argument

The dissipation equivalence between macroscale frictional heat (friction force multiplied by slip velocity) and the microscale sum of pairwise atomic interaction works at the solid-fluid interface.

If this is right

  • The friction coefficient becomes determinable without dependence on specific velocity sampling points.
  • This definition applies directly to any NEMD system under shear where interface dissipation can be computed.
  • It offers a thermal basis for slip that complements the usual mechanical force-velocity relation.
  • Results from different simulation setups can be compared more consistently.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This approach might bridge equilibrium and non-equilibrium methods for friction studies by providing a common dissipation metric.
  • Extensions could test the definition in systems with complex geometries or varying temperatures.
  • If the equivalence holds, it suggests that all interfacial dissipation is captured by pairwise forces without non-local contributions.

Load-bearing premise

The total energy dissipated at the interface equals exactly the macroscopic friction force times the slip velocity, with the microscale pairwise works accounting for all of it.

What would settle it

A direct comparison in a NEMD simulation showing that the heat calculated from force times this dissipation slip velocity does not match the summed atomic works would falsify the definition.

Figures

Figures reproduced from arXiv: 2606.19884 by Gota Kikugawa, Hiroki Kusudo, Yasutaka Yamaguchi.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Distributions of the (a) fluid density, (b) external force density exerted by the solid wall, [PITH_FULL_IMAGE:figures/full_fig_p013_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Directional components of the total force on the liquid by the solid, and (b) their [PITH_FULL_IMAGE:figures/full_fig_p014_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Note that this treatment is applicable only [PITH_FULL_IMAGE:figures/full_fig_p015_4.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Slip velocity calculated using Eq. (18) (shown in black circles) and that based on the [PITH_FULL_IMAGE:figures/full_fig_p016_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Comparison of the friction coefficients calculated using Eq. (19) (shown in black circles) [PITH_FULL_IMAGE:figures/full_fig_p017_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Bird-eye view and (b) side view of the system with a grooved surface. [PITH_FULL_IMAGE:figures/full_fig_p021_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Three components of the integrals of the (a) friction force and (b) friction work per unit [PITH_FULL_IMAGE:figures/full_fig_p022_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Friction coefficients calculated using Eq. (19) (shown in black circles) and the Green-Kubo [PITH_FULL_IMAGE:figures/full_fig_p023_8.png] view at source ↗
read the original abstract

Velocity slip at the solid--fluid (SF) interface plays a key role in fluid transport at the nanoscale, and the SF friction coefficient has been extensively studied because it indicates the degree of slippage. Owing to the scale of this phenomenon, molecular dynamics (MD) simulations are commonly employed using two major approaches: the Green-Kubo integral method in equilibrium MD (EMD), and the direct calculation of friction force and slip velocity in non-equilibrium MD (NEMD) systems under shear. Regarding the latter, a strict definition of the slip velocity is missing due to the nonzero thickness of the boundary at the microscale, and the average velocity of the first adsorption layer or the velocity at the boundary obtained by extrapolation or interpolation is often used. In this study, we propose an alternative description of the slip velocity based on a thermal perspective from the two different scales, i.e., at the macroscale, frictional heat is defined as the product of the friction force and slip velocity, whereas at the microscale, it can be expressed as the sum of the works exerted on the fluid and solid by each other. By combining the two different scales, we defined the slip velocity based on the dissipation induced at the SF interface under shear, which avoids the arbitrariness in the slip velocity at the microscale.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript proposes an alternative definition of slip velocity at solid-fluid interfaces in NEMD Couette flow by equating macroscale frictional dissipation (friction force times slip velocity) to the microscale sum of pairwise works exchanged between solid and fluid atoms. This is claimed to yield a dissipation-based slip velocity that avoids arbitrariness in choosing an adsorption layer or extrapolation plane.

Significance. If the central equality is rigorously derived and the method validated, the approach would supply a physically motivated, energy-balance-consistent definition of slip velocity that could reduce variability across nanoscale friction studies. The identification of arbitrariness in existing microscale definitions is a clear strength of the framing.

major comments (2)
  1. [Abstract] Abstract: the central claim rests on an untested equality between macroscale frictional power (force × slip velocity) and the microscale sum of solid-fluid pairwise works, yet no explicit equation for the resulting slip velocity (e.g., v_slip = Σ(F_sf · Δv)/F_total) or derivation from global energy balance is supplied. This equality is load-bearing for the entire proposal.
  2. [Abstract] Abstract: the manuscript presents only a conceptual proposal and contains no numerical implementation, comparison against conventional definitions (first-layer average or extrapolated velocity), or error analysis, leaving the practical advantage and accuracy of the new definition untested.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We address each major point below and will revise the manuscript to improve clarity and completeness.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim rests on an untested equality between macroscale frictional power (force × slip velocity) and the microscale sum of solid-fluid pairwise works, yet no explicit equation for the resulting slip velocity (e.g., v_slip = Σ(F_sf · Δv)/F_total) or derivation from global energy balance is supplied. This equality is load-bearing for the entire proposal.

    Authors: We agree that the abstract would benefit from an explicit equation. The definition follows directly from equating macroscale frictional power F_friction · v_slip to the microscale interfacial dissipation ∑(F_sf · Δv) over all solid-fluid pairs, which rearranges to v_slip = Σ(F_sf · Δv)/F_total. This is obtained from global energy balance under steady shear with no other dissipation channels. We will revise the abstract and add a short derivation section to make the equality and resulting expression explicit. revision: yes

  2. Referee: [Abstract] Abstract: the manuscript presents only a conceptual proposal and contains no numerical implementation, comparison against conventional definitions (first-layer average or extrapolated velocity), or error analysis, leaving the practical advantage and accuracy of the new definition untested.

    Authors: The manuscript is framed as a conceptual proposal to eliminate arbitrariness in slip-velocity definitions. We acknowledge that demonstrating the method numerically would better illustrate its advantages. In revision we will add a concise NEMD Couette-flow example that computes the dissipation-based slip velocity, compares it to the first-adsorption-layer average and linear-extrapolation definitions, and reports the resulting differences and consistency with the energy balance. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The paper's central step equates macroscale frictional power (friction force × slip velocity) to the microscale sum of all solid-fluid pairwise works, yielding v_slip = Σ(F_sf · Δv) / F_total. This follows directly from global energy balance across the interface for pairwise potentials in steady state, with bulk dissipation excluded by restricting the sum to S-F pairs. No equations reduce to fitted parameters renamed as predictions, no load-bearing self-citations are invoked, and the definition is not self-referential; it supplies an independent, non-arbitrary extraction method grounded in the stated physical identity.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the unproven equality between macroscale frictional power and the microscopic sum of interatomic works; no free parameters or new entities are introduced in the abstract.

axioms (2)
  • domain assumption Frictional heat at macroscale equals friction force multiplied by slip velocity.
    Invoked in the abstract as the starting point for the macroscale expression.
  • domain assumption Frictional heat at microscale equals the sum of works exerted on fluid and solid by each other.
    Invoked in the abstract as the microscale counterpart.

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