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 sideLgrow likeL 2.
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Cancrini, N., Martinelli, F., Roberto, C. (2002). Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited. In: Sidoravicius, V. (eds) In and Out of Equilibrium. Progress in Probability, vol 51. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0063-5_11
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DOI: https://doi.org/10.1007/978-1-4612-0063-5_11
Publisher Name: Birkhäuser, Boston, MA
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