Generalization of Gibbs Entropy and Thermodynamic Relation

TL;DR

This paper extends Gibbs's thermodynamic framework to non-equilibrium processes, deriving a microscopic entropy expression and analyzing the formal structure of thermodynamic relations beyond equilibrium.

Contribution

It introduces a generalized approach to non-equilibrium thermodynamics, providing new microscopic entropy expressions and insights into thermodynamic relations.

Findings

Derived a microscopic entropy expression for non-equilibrium processes

Analyzed the formal structure of thermodynamic relations in non-equilibrium

Extended Gibbs's approach to broader thermodynamic contexts

Abstract

In this paper, we extend Gibbs's approach of quasi-equilibrium thermodynamic processes, and calculate the microscopic expression of entropy for general non-equilibrium thermodynamic processes. Also, we analyze the formal structure of thermodynamic relation in non-equilibrium thermodynamic processes.