Akio Hosoya, Koji Maruyama, Yutaka Shikano
In a simple model of Maxwell's demon endowed with a Turing-type memory tape, we present an operational derivation of the Maxwell-Boltzmann distribution in the equilibrium statistical mechanics. It is based solely on the combined gas law of the elementary thermodynamics for the model of the memory. Equilibrium is defined in terms of the stability of thermodynamic work $F$ against noise, where $F$ is the work surplus when resetting the gas system and the memory. This model can be applied to non-equilibrium processes, in principle, because of the universality of the Turing machine. We demonstrate the dissipation-fluctuation as a simple example.
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http://arxiv.org/abs/1301.4854
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