Unknown

Dataset Information

0

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

altmetric image

Publications

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

Hosoya Akio A   Maruyama Koji K   Shikano Yutaka Y  

Scientific reports 20151124


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 maximu  ...[more]

Similar Datasets

| S-EPMC5440804 | biostudies-literature
| S-EPMC3406850 | biostudies-other
| S-EPMC4557369 | biostudies-literature
| S-EPMC4758063 | biostudies-literature
| S-EPMC3694980 | biostudies-literature
| S-EPMC5876355 | biostudies-literature
| S-EPMC3122111 | biostudies-literature
| S-EPMC4181469 | biostudies-literature
| S-EPMC3579545 | biostudies-literature
| S-EPMC5728381 | biostudies-literature