Entropy production in a non-Markovian environment

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Entropy production in a non-Markovian environment. / Kutvonen, A.; Ala-Nissila, T.; Pekola, J.

In: Physical Review E, Vol. 92, No. 1, 012107, 06.07.2015, p. 1-7.

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@article{4407edd3b029442b9bbab6d330205ffc,
title = "Entropy production in a non-Markovian environment",
abstract = "Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually treated in the context of either isolated Hamiltonian evolution, or Markovian dynamics in open systems. However, there is no reason a priori why the Markovian approximation should be valid in driven systems under nonequilibrium conditions. In this work, we introduce an explicitly non-Markovian model of dynamics of an open system, where the correlations between the system and the environment drive a subset of the environment out of equilibrium. Such an environment gives rise to a new type of non-Markovian entropy production term. Such non-Markovian components must be taken into account in order to recover the fluctuation relations for entropy. As a concrete example, we explicitly derive such modified fluctuation relations for the case of an overheated single electron box.",
author = "A. Kutvonen and T. Ala-Nissila and J. Pekola",
note = "VK: Low Temperature Laboratory",
year = "2015",
month = "7",
day = "6",
doi = "10.1103/PhysRevE.92.012107",
language = "English",
volume = "92",
pages = "1--7",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

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TY - JOUR

T1 - Entropy production in a non-Markovian environment

AU - Kutvonen, A.

AU - Ala-Nissila, T.

AU - Pekola, J.

N1 - VK: Low Temperature Laboratory

PY - 2015/7/6

Y1 - 2015/7/6

N2 - Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually treated in the context of either isolated Hamiltonian evolution, or Markovian dynamics in open systems. However, there is no reason a priori why the Markovian approximation should be valid in driven systems under nonequilibrium conditions. In this work, we introduce an explicitly non-Markovian model of dynamics of an open system, where the correlations between the system and the environment drive a subset of the environment out of equilibrium. Such an environment gives rise to a new type of non-Markovian entropy production term. Such non-Markovian components must be taken into account in order to recover the fluctuation relations for entropy. As a concrete example, we explicitly derive such modified fluctuation relations for the case of an overheated single electron box.

AB - Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually treated in the context of either isolated Hamiltonian evolution, or Markovian dynamics in open systems. However, there is no reason a priori why the Markovian approximation should be valid in driven systems under nonequilibrium conditions. In this work, we introduce an explicitly non-Markovian model of dynamics of an open system, where the correlations between the system and the environment drive a subset of the environment out of equilibrium. Such an environment gives rise to a new type of non-Markovian entropy production term. Such non-Markovian components must be taken into account in order to recover the fluctuation relations for entropy. As a concrete example, we explicitly derive such modified fluctuation relations for the case of an overheated single electron box.

UR - http://dx.doi.org/10.1103/PhysRevE.92.012107

U2 - 10.1103/PhysRevE.92.012107

DO - 10.1103/PhysRevE.92.012107

M3 - Article

VL - 92

SP - 1

EP - 7

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012107

ER -

ID: 1985873