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Unified Jarzynski and Sagawa-Ueda relations for Maxwell's demon

2013/08/17 by Hal Tasaki, Tasaki, Hal
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Experimental and Theoretical Physics Studies #Mathematical and Theoretical Analysis #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1308.3776

6 pages, 2 figures

arxiv created 2013/08/17 · arxiv updated 2013/08/20

Abstract

By using Newtonian mechanics, we construct a general model of Maxwell's demon, a system in which the engine and the memory interact only through the exchange of information. We show that the Jarzynski relation and the two Sagawa-Ueda relations hold simultaneously, and argue that they are the unique triplet which has a natural decomposition property. The uniqueness provides a strong support to the assertion that the mutual information is the key quantity.

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