We consider a conservative stochastic spin exchange dynamics, reversible with respect to the canonical Gibbs measure of a lattice gas model. We assume that the corresponding grand canonical measure satisfies a suitable strong mixing condition. We discuss the main ideas we used to re-prove the well-known results of Lu and Yau, and of Yau stating that the inverse of the spectral gap and the logarithmic Sobolev constant in a box of side L grow like L-2.
Spectral gap and logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
CANCRINI, NICOLETTA;
2002-01-01
Abstract
We consider a conservative stochastic spin exchange dynamics, reversible with respect to the canonical Gibbs measure of a lattice gas model. We assume that the corresponding grand canonical measure satisfies a suitable strong mixing condition. We discuss the main ideas we used to re-prove the well-known results of Lu and Yau, and of Yau stating that the inverse of the spectral gap and the logarithmic Sobolev constant in a box of side L grow like L-2.File in questo prodotto:
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