English

Entropy dissipation estimates in a Zero-Range dynamics

Probability 2010-10-11 v2 Mathematical Physics math.MP

Abstract

We study the exponential decay of relative entropy functionals for zero-range processes on the complete graph. For the standard model with rates increasing at infinity we prove entropy dissipation estimates, uniformly over the number of particles and the number of vertices.

Keywords

Cite

@article{arxiv.math/0405455,
  title  = {Entropy dissipation estimates in a Zero-Range dynamics},
  author = {Pietro Caputo and Gustavo Posta},
  journal= {arXiv preprint arXiv:math/0405455},
  year   = {2010}
}