数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (2): 213-222.
唐守正
Tang Shouzheng
摘要: In this paper, some properties of the invariant measures of bounded spin-flip processes are discussed. It is proved that all invariant measures of a bounded spinflip process with potential are reversible measures if its speed functions have locally finite range interaction. Therefore, all invariant measures of the process are the Gibbs states of the potential. It is also proved that for each given potential, there exists a spin-flip process suth that all of its invariant measures are the Gibbs states of the potential.