Exponential rate of convergence in current reservoirs

Abstract

In this paper, we consider a family of interacting particle systems on $[-N,N]$ that arises as a natural model for current reservoirs and Fick's law. We study the exponential rate of convergence to the stationary measure, which we prove to be of the order $N^{-2}$.

Published at http://dx.doi.org/10.3150/14-BEJ628 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)

References in corpus (4)

• A diffusive system driven by a battery or by a smoothly varying field
• Current reservoirs in the simple exclusion process
• Non equilibrium stationary state for the SEP with births and deaths
• Extinction time for a random walk in a random environment

Cited by in corpus (3)

• Free boundary problems in PDEs and particle systems
• Fick law and sticky Brownian motions
• Extinction time for a random walk in a random environment