arXiv:1311.1620 Abstract | arXiv Analytics

arXiv:1311.1620 [math.PR]Abstract References Reviews Resources

Coupling independent walkers and the inclusion process

Published 2013-11-07, updated 2015-01-27Version 2

We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non-equilibrium steady state in the boundary driven SIP. The main tool is self-duality and a coupling between $n$ SIP particles and $n$ independent random walkers.

Comments: 17 pages, 1 figure. Proof of Theorem 3.2 corrected

Categories: math.PR

Keywords: coupling independent walkers, independent random walkers, symmetric inclusion process, local equilibrium property, non-equilibrium steady state

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