Peter Nandori

An important problem is mathematical statistical physics is to derive the macroscopic laws of physics (such as heat equation) from underlying microscopic principles. This goal has been achieved for many microscopic stochastic models but the problem remains widely open for physical deterministic systems. In this talk, we will introduce some of the most natural deterministic microscopic models, such as Sinai billiards and interacting hard ball systems. Then we discuss some recent results related to the above problem. These include the non-equilibrium density in long Lorentz tubes, the first encounter of two rarely interacting hard balls and the role of the local limit theorem and mixing. We also discuss some purely stochastic models.