Exact correspondence between Renyi entropy flows and physical flows
Quantum Physics
2015-06-02 v2 Mesoscale and Nanoscale Physics
Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1502.08020,
title = {Exact correspondence between Renyi entropy flows and physical flows},
author = {Mohammad H. Ansari and Yuli V. Nazarov},
journal= {arXiv preprint arXiv:1502.08020},
year = {2015}
}
Comments
9 pages, 5 figures