Stochastic Energetics for Non-Gaussian Processes

TL;DR

This paper develops a new stochastic integral framework to analyze the energetics of classical systems driven by non-Gaussian noise, enabling decomposition of energy changes into work and heat, with practical formulas for experimental data.

Contribution

It introduces a novel stochastic integral and a decomposition method for energy changes in non-Gaussian driven systems, extending stochastic energetics theory.

Findings

Derived a formula to calculate heat from experimental data.

Applied the framework to Langevin systems with Poisson noise.

Demonstrated the decomposition of energy differences into work and heat.

Abstract

By introducing a new stochastic integral, we investigate the energetics of classical stochastic systems driven by non-Gaussian white noises. In particular, we introduce a decomposition of the total-energy difference into the work and the heat for each trajectory, and derive a formula to calculate the heat from experimental data on the dynamics. We apply our formulation and results to a Langevin system driven by a Poisson noise.