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.

SUBMITTER: Hosoya A 

PROVIDER: S-EPMC4657058 | biostudies-literature | 2015 Nov

REPOSITORIES: biostudies-literature