Exact correspondence between Renyi entropy flows and physical flows

TL;DR

This paper establishes a universal and exact relation linking Renyi entropy flows to energy transfer statistics, enabling entropy flow quantification through energy measurement protocols in systems coupled to non-equilibrium environments.

Contribution

It introduces a universal exact relation between Renyi entropy flows and energy transfer statistics, applicable to systems in thermal equilibrium with arbitrary non-equilibrium couplings.

Findings

Derives an exact relation between Renyi entropy flows and full counting statistics.

Provides a practical protocol for measuring entropy flows via energy transfer measurements.

Applicable to systems in thermal equilibrium with arbitrary time-dependent couplings.

Abstract

We present a universal relation between the flow of a Renyi entropy and the full counting statistics of energy transfers. We prove the exact relation for a flow to a system in thermal equilibrium that is weakly coupled to an arbitrary time-dependent and non-equilibrium system. The exact correspondence, given by this relation, provides a simple protocol to quantify the flows of Shannon and Renyi entropies from the measurements of energy transfer statistics.