An exactly solvable dissipative transport model
arXiv:cond-mat/0509723 · doi:10.1088/0305-4470/39/7/001
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.
7 pages, 1 figure, submitted to J. Phys. A
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