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Logarithmic Sobolev inequality for the inhomogeneous zero range process

Hanna Jankowski
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Abstract

We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N^2. We apply this result to the inhomogeneous process which arises in the study of the homogeneous version of the zero range interacting particle system with colours.

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Hanna Jankowski. 2006-06-30. Logarithmic Sobolev inequality for the inhomogeneous zero range process. https://arxiv.org/abs/math/0606778

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