Reference : Tightening the uncertainty principle for stochastic currents |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Physics | |||

Physics and Materials Science | |||

http://hdl.handle.net/10993/29146 | |||

Tightening the uncertainty principle for stochastic currents | |

English | |

Polettini, Matteo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >] | |

Lazarescu, Alexandre [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >] | |

Esposito, Massimiliano [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >] | |

2-Nov-2016 | |

Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics | |

American Physical Society | |

94 | |

052104 | |

Yes (verified by ORBi^{lu}) | |

International | |

1539-3755 | |

1550-2376 | |

College Park | |

MD | |

[en] We connect two recent advances in the stochastic analysis of nonequilibrium systems: the (loose) uncertainty
principle for the currents, which states that statistical errors are bounded by thermodynamic dissipation, and the analysis of thermodynamic consistency of the currents in the light of symmetries. Employing the large deviation techniques presented by Gingrich et al. [Phys. Rev. Lett. 116, 120601 (2016)] and Pietzonka, Barato, and Seifert [Phys. Rev. E 93, 052145 (2016)], we provide a short proof of the loose uncertainty principle, and prove a tighter uncertainty relation for a class of thermodynamically consistent currents J . Our bound involves a measure of partial entropy production, that we interpret as the least amount of entropy that a system sustaining current J can possibly produce, at a given steady state. We provide a complete mathematical discussion of quadratic bounds which allows one to determine which are optimal, and finally we argue that the relationship for the Fano factor of the entropy production rate var σ/mean σ 2 is the most significant realization of the loose bound. We base our analysis both on the formalism of diffusions, and of Markov jump processes in the light of Schnakenberg’s cycle analysis. | |

http://hdl.handle.net/10993/29146 | |

10.1103/PhysRevE.94.052104 | |

FnR ; FNR1165601 > Massimiliano Esposito > NewThermo > A New Thermodynamic Theory for Small Fluctuating Systems: From Nanodevices to Cellular Biology > 01/01/2012 > 31/12/2016 > 2011 |

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