Equilibrium measurement method of slip length based on fluctuating hydrodynamics

Hiroyoshi Nakano and Shin-ichi Sasa
Phys. Rev. E 101, 033109 – Published 30 March 2020

Abstract

We perform equilibrium molecular dynamics simulations for nanoscale fluids confined between two parallel walls and investigate how the autocorrelation function of force acting on one wall is related to the slip length. We demonstrate that for atomically smooth surfaces, the autocorrelation function is accurately described by linearized fluctuating hydrodynamics (LFH). Excellent agreement between the simulation and the LFH solution is found over a wide range of scales, specifically, from the timescale of fluid relaxation even to that of molecular motion. Fitting the simulation data yields a reasonable estimation of the slip length. We show that LFH provides a starting point for examining the relationship between the slip length and the force fluctuations.

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  • Received 9 October 2019
  • Revised 31 January 2020
  • Accepted 2 March 2020

DOI:https://doi.org/10.1103/PhysRevE.101.033109

©2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Hiroyoshi Nakano and Shin-ichi Sasa

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 101, Iss. 3 — March 2020

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