title: Operational derivation of Boltzmann distribution with Maxwell's demon model.
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.
authors.affiliation: Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551 Japan.
authors.forename: Akio
authors.initials: A
authors.lastname: Hosoya
authors.affiliation: Department of Chemistry and Materials Science, Osaka City University, Osaka, 558-8585 Japan.
authors.forename: Koji
authors.initials: K
authors.lastname: Maruyama
authors.affiliation: Research Center of Integrative Molecular Systems (CIMoS), Institute for Molecular Science, National Institute of Natural Sciences, Okazaki, 444-8585 Japan.|Institute for Quantum Studies, Chapman University, Orange, CA 92866, USA.|Materials and Structures Laboratory, Tokyo Institute of Technology, Yokohama, Kanagawa, 226-8503 Japan.
authors.forename: Yutaka
authors.initials: Y
authors.lastname: Shikano