Nonequilibrium, thermostats and thermodynamic limit

TL;DR

This paper investigates the relationship between different types of thermostats in nonequilibrium systems and proves their equivalence in the thermodynamic limit for specific dimensions and geometries.

Contribution

It establishes the equivalence of isoenergetic and frictionless thermostats in the thermodynamic limit across various spatial dimensions and geometries.

Findings

Thermostats of different types are equivalent in the thermodynamic limit.

The equivalence is proven for space dimensions 1, 2, and certain 3D geometries.

Results contribute to understanding nonequilibrium statistical mechanics.

Abstract

The relation between thermostats of "isoenergetic" and "frictionless" kind is studied and their equivalence in the thermodynamic limit is proved in space dimension $d=1,2$ and, for special geometries, $d=3$.