论文标题
Glauber-限制动力学：快速混合制度
Glauber-Exclusion dynamics : rapid mixing regime
论文作者
论文摘要
我们表明，对于任何有吸引力的Glauber-排斥过程，在一维大小$ n $具有周期性边界条件的一维晶格上，如果相应的流体动力极限方程具有严格凸电势的反应项，则总变量混合时间为$ o（\ log n）$。特别是，结果涵盖了De Masi，Ferrari和Lebowitz（1985）引入的原始模型中的完整高温方案。
We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size $N$ with periodic boundary condition, if the corresponding hydrodynamic limit equation has a reaction term with a strictly convex potential, then the total-variation mixing time is of order $O(\log N)$. In particular, the result covers the full high-temperature regime in the original model introduced by De Masi, Ferrari and Lebowitz (1985).
