Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles
Probability
2010-10-11 v2 Mathematical Physics
math.MP
Abstract
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical step, in the proof that this logarithmic-Sobolev constant grows as L^2, that will be presented in a forthcoming paper.
Keywords
Cite
@article{arxiv.math/0404460,
title = {Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles},
author = {Paolo Dai Pra and Gustavo Posta},
journal= {arXiv preprint arXiv:math/0404460},
year = {2010}
}