We consider a system of interacting particles on a finite subset of diameter L of the d-dimensional integer lattice, and with zero-range interaction. Under mild technical conditions, we prove that the logarithmic-Sobolev constant grows as L^2
Logarithmic Sobolev inequality for zero range dynamics
DAI PRA, PAOLO;
2005
Abstract
We consider a system of interacting particles on a finite subset of diameter L of the d-dimensional integer lattice, and with zero-range interaction. Under mild technical conditions, we prove that the logarithmic-Sobolev constant grows as L^2
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