Induced long-time correlations in a two-component lattice gas

TL;DR

This paper investigates how distinguishable particle species in a classical lattice gas exhibit long-time correlations, especially when their mobilities differ significantly, revealing induced correlations in the slow component under non-equilibrium conditions.

Contribution

It demonstrates the emergence of long-time correlations in a two-component lattice gas due to mobility differences, highlighting the role of non-equilibrium flow in correlation development.

Findings

Long-time correlations occur in the slow component due to fast species flow.

Induced correlations resemble hydrodynamic interactions in colloids.

Correlations are prominent in non-equilibrium conditions with flow.

Abstract

The distinguishability of at least two species of particles in the classical lattice gas with no interactions except hard-core exclusion entails additional interparticle correlations. A nonlinear mixing flow appears and manifests itself most pronounced in the case of significant difference between mobilities of species. It may result in the induced correlations for the slow component mediated by the fast one. In the quasi-one-dimensional case, the long-time correlations are demonstrated to take place in the slow component, that is similar to the hydrodynamic correlations between colloidal particles. In the adiabatic approximation, these correlations may come into play only in the non-equilibrium case with the flow of the fast component present in the system.