English

Numerical solution and verification of the local equilibrium for the flat interface in the two-phase binary mixture

Soft Condensed Matter 2008-12-24 v1 Statistical Mechanics

Abstract

In this paper we first apply the general analysis described in our first paper to a binary mixture of cyclohexane and nn-hexane. We use the square gradient model for the continuous description of a non-equilibrium surface and obtain numerical profiles of various thermodynamic quantities in various stationary state conditions. In the second part of this paper we focus on the verification of local equilibrium of the surface as described with excess quantities. We give a definition of the temperature and chemical potential difference for the surface and verify that these quantities are independent of the choice of the dividing surface. We verify that the non-equilibrium surface can be described in terms of Gibbs excess densities which are in good approximation equal to their equilibrium values at the temperature and chemical potential difference of the surface.

Cite

@article{arxiv.0812.4386,
  title  = {Numerical solution and verification of the local equilibrium for the flat interface in the two-phase binary mixture},
  author = {K. S. Glavatskiy and D. Bedeaux},
  journal= {arXiv preprint arXiv:0812.4386},
  year   = {2008}
}

Comments

25 pages, 13 figures, 11 tables

R2 v1 2026-06-21T11:55:18.070Z