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An exactly solvable dissipative transport model

Eric Bertin
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Abstract

We introduce a class of one-dimensional lattice models in which a quantity, that may be thought of as an energy, is either transported from one site to a neighbouring one, or locally dissipated. Transport is controlled by a continuous bias parameter q, which allows us to study symmetric as well as asymmetric cases. We derive sufficient conditions for the factorization of the N-body stationary distribution and give an explicit solution for the latter, before briefly discussing physically relevant situations.

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Eric Bertin. 2006-02-01. An exactly solvable dissipative transport model. https://doi.org/10.1088/0305-4470%2F39%2F7%2F001

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