### 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 language | English |
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Publisher | s.n. |

Number of pages | 17 |

Publication status | Published - 2014 |

### Publication series

Name | arXiv.org |
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Volume | 1405.1363 [math-ph] |

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## 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.