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.
Cite
@article{arxiv.1311.1620,
title = {Coupling independent walkers and the inclusion process},
author = {Alex Opoku and Frank Redig},
journal= {arXiv preprint arXiv:1311.1620},
year = {2015}
}
Comments
17 pages, 1 figure. Proof of Theorem 3.2 corrected