The fundamental research of statistical physics focuses on three questions.The first comes to the origin of equilibrium states,the second is the relation between thermodynamic measurements and miraculous accuracy of predictions according to ensemble theory and the last is the framework of nonequilibrium stationary states.The progresses in the aspects of these fundamental researches of statistical physics were summarized, especially in the theory of nonequilibrium.The study on methodology for dealing with strong interaction systems is a central topic in the statistical physics and even in the whole field of physics.So,in addition to build up a framework of studies of nonequilibrium stationary states,the development of methodologies for applying the framework to interaction systems was also discussed.