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arXiv · 1405.1363

Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries

Kiamars Vafayi·Manh Hong Duong
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Abstract

We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process (SIP) 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 is a product measure, and is consistent with the local equilibrium measure corresponding to the steady state density profile.

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Kiamars Vafayi, Manh Hong Duong. 2014-05-27. Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries. https://doi.org/10.1103/physreve.90.052143

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