Dissipative Heat Decomposition in Stochastic Energetics: Implication of the Instantaneous Diffusion Coefficient in Nonequilibrium Steady States

TL;DR

This paper introduces a new method to decompose dissipative heat in nonequilibrium steady states using the instantaneous diffusion coefficient, enabling heat dissipation evaluation from single-trajectory data with numerical validation.

Contribution

It presents a novel decomposition expression for dissipative heat involving the instantaneous diffusion coefficient, applicable to experimental data analysis.

Findings

Decomposition expression accurately estimates heat dissipation.

Method works with single-trajectory experimental data.

Numerical simulations validate the approach.

Abstract

We give a decomposition expression for dissipative heat using the instantaneous diffusion coefficient in a nonequilibrium steady state. The dissipative heat can be expressed using three diffusion coefficients: instantaneous, equilibrium, and drift. An experimental application of the decomposition expression permits us to evaluate the heat dissipation rate from single-trajectory data only. We also numerically demonstrate this method.