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Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles

Paolo Dai Pra·Gustavo Posta
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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.

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Paolo Dai Pra, Gustavo Posta. 2005-03-16. Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles. https://arxiv.org/abs/math/0404460

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