Current fluctuations and transport efficiency for general Langevin systems

Andreas Dechant, Shin Ichi Sasa

研究成果: Article査読

87 被引用数 (Scopus)

抄録

We derive a universal bound on generalized currents in Langevin systems in terms of the mean-square fluctuations of the current and the total entropy production. This bound generalizes a relation previously found by Barato et al to arbitrary times and transient states. Using the bound, we define a new efficiency for stochastic transport, which measures how close a given system comes to saturating the bound. The existence of such a bounded efficiency implies that stochastic transport is unavoidably accompanied by a fluctuations and dissipation, which cannot be reduced arbitrarily. We apply the definition of transport efficiency to steady state particle transport and heat engines and show that the transport efficiency may approach unity at finite current, in contrast to the thermodynamic efficiency. Finally, we derive a bound on purely diffusive transport in terms of the Shannon entropy.

本文言語English
論文番号063209
ジャーナルJournal of Statistical Mechanics: Theory and Experiment
2018
6
DOI
出版ステータスPublished - 2018 6月 25

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 統計学、確率および不確実性

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