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 the square of L, that is presented in a forthcoming paper.

Logarithmic Sobolev Inequality for Zero-Range Dynamics: Independence of the Number of Particles

POSTA, GUSTAVO
2005-01-01

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 the square of L, that is presented in a forthcoming paper.
2005
Interacting particles systems; logarithmic Sobolev inequality; zero range.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/555071
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