Exact correspondence between Renyi entropy flows and physical flows

@article{Ansari2015ExactCB,
  title={Exact correspondence between Renyi entropy flows and physical flows},
  author={Mohammad H. Ansari and Yuli V. Nazarov},
  journal={Physical Review B},
  year={2015},
  volume={91},
  pages={174307}
}
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. 

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