arXiv:1502.08020 · Physical Review B

Exact correspondence between Renyi entropy flows and physical flows

Mohammad H. Ansari, Yuli V. Nazarov

Published May 29, 2015• 29 citations

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 nonequilibrium 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.

DOI: 10.1103/physrevb.91.174307

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