Weakly non-equilibrium properties of symmetric inclusion process with open boundaries

K. Vafayi, M.H. Duong

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Abstract

We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process by coupling it to two particle-reservoirs at the two boundaries with slightly different chemical potentials. The boundaries introduce irreversibility and induce a weak particle current in the system. We calculate the McLennan ensemble for SIP, which corresponds to the entropy production and the first order non-equilibrium correction for the stationary state. We find that the first order correction, while being a product measure, is not consistent with the local equilibrium measure. This provides an interesting counter-example to the more common case, for instance in the boundary driven symmetric exclusion process, where the entropy production accords with the local equilibrium measure.
Original languageEnglish
Publishers.n.
Number of pages17
Publication statusPublished - 2014

Publication series

NamearXiv.org
Volume1405.1363 [math-ph]

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inclusions
entropy
exclusion
counters
products

Cite this

Vafayi, K., & Duong, M. H. (2014). Weakly non-equilibrium properties of symmetric inclusion process with open boundaries. (arXiv.org; Vol. 1405.1363 [math-ph]). s.n.
Vafayi, K. ; Duong, M.H. / Weakly non-equilibrium properties of symmetric inclusion process with open boundaries. s.n., 2014. 17 p. (arXiv.org).
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Vafayi, K & Duong, MH 2014, Weakly non-equilibrium properties of symmetric inclusion process with open boundaries. arXiv.org, vol. 1405.1363 [math-ph], s.n.

Weakly non-equilibrium properties of symmetric inclusion process with open boundaries. / Vafayi, K.; Duong, M.H.

s.n., 2014. 17 p. (arXiv.org; Vol. 1405.1363 [math-ph]).

Research output: Book/ReportReportAcademic

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AB - We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process by coupling it to two particle-reservoirs at the two boundaries with slightly different chemical potentials. The boundaries introduce irreversibility and induce a weak particle current in the system. We calculate the McLennan ensemble for SIP, which corresponds to the entropy production and the first order non-equilibrium correction for the stationary state. We find that the first order correction, while being a product measure, is not consistent with the local equilibrium measure. This provides an interesting counter-example to the more common case, for instance in the boundary driven symmetric exclusion process, where the entropy production accords with the local equilibrium measure.

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