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arXiv · 1301.4854

Operational derivation of Maxwell-Boltzmann distribution with Maxwell's demon model

Akio Hosoya·Koji Maruyama·Yutaka Shikano
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Abstract

The resolution of the Maxwell's demon paradox linked thermodynamics with information theory through information erasure principle. By considering a demon endowed with a Turing-machine consisting of a memory tape and a processor, we attempt to explore the link towards the foundations of statistical mechanics and to derive results therein in an "operational" manner. Here, we present a derivation of the Boltzmann distribution in equilibrium as an example, without hypothesizing the principle of maximum entropy. Further, since the model can be applied to non-equilibrium processes, in principle, we demonstrate the dissipation-fluctuation relation to show the possibility in this direction.

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Akio Hosoya, Koji Maruyama, Yutaka Shikano. 2013-01-21. Operational derivation of Maxwell-Boltzmann distribution with Maxwell's demon model. https://doi.org/10.1038/srep17011

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