Logarithmic Sobolev inequality for zero-range Dynamics

arxiv: math/0401248 · v3 · submitted 2004-01-20 · 🧮 math.PR · math-ph· math.MP

Paolo Dai Pra , Gustavo Posta This is my paper

classification 🧮 math.PR math-phmath.MP

keywords logarithmicsobolevzero-rangeconstantdiameterdynamicsgrowsinequality

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We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$.

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