Yau, Horng-TzerLee, Tzong-Yow2017-05-181998Yau, Horng-Tzer, and Tzong-Yow Lee. 1998. “Logarithmic Sobolev inequality for some models of random walks.” The Annals of Probability 26 (4) (October): 1855–1873. doi:10.1214/aop/1022855885.0091-1798http://nrs.harvard.edu/urn-3:HUL.InstRepos:32706796We determine the logarithmic Sobolev constant for the Bernoulli- Laplace model and the time to stationarity for the symmetric simple exclusion model up to the leading order. Our method for proving the logarithmic Sobolev inequality is based on a martingale approach and is applied to the random transposition model as well. The proof for the time to stationarity is based on a general observation relating the time to stationarity to the hydrodynamical limit.en-USJournal Article2017-05-1810.1214/aop/1022855885