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Information Flow and Computation in the Maxwell Demon Problem

2004/01/01 by Roger D. Jones, Jones, Roger D., Sven G. Redsun +3
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.class-ph #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0401002

30 pages, 3 figures, submitted to J. Stat. Phys

arxiv created 2004/01/01 · arxiv updated 2009/12/01

Abstract

In this paper we examine the Maxwell Demon problem from an information theoretic and computational point-of-view. In particular we calculate the required capacity of a communication channel that transports information to and from the Demon. Equivalently, this is the number of bits required to store the information on a computer tape. We show that, in a simple model for the Maxwell Demon, the entropy of the universe increases by at least an amount eta=0.83999552 bits per particle in going from unsorted to sorted particles and by an amount eta*=2.37314 in going from one sorted state to another sorted state.

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