Temperature measurement from perturbations

TL;DR

This paper extends the concept of configuration temperature to discontinuous systems by defining temperature through integral equations related to energy change distributions, and generalizes these relations to pressure and mean force.

Contribution

It introduces a novel approach to defining temperature in discontinuous systems using integral equations, expanding the theoretical framework of thermodynamic quantities.

Findings

Temperature defined via integral equations for discontinuous systems

Relations generalized to pressure and mean force

Provides a new theoretical foundation for temperature measurement

Abstract

The notion of configuration temperature is extended to discontinuous systems by identifying the temperature as the nontrivial root of several integral equations regarding the distribution of the energy change upon configuration perturbations. The relations are generalized to pressure and a distribution mean force.