We consider the evolution of a system composed of N non-interacting point particles of mass m in a container divided into two regions by a movable adiabatic wall (adiabatic piston). In this talk we discuss the thermodynamic limit where the area A of the container, the number N of particles, and...

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with fixed temperatures T+ and T-. It is shown that Fourier law...

The correlation inequalities of Fortuin, Kasteleyn, and Ginibre (FKG) are used in conjunction with those of Griffiths, Kelly, and Sherman (GKS) to demonstrate the existence of a ferromagnetic phase transition in a continuum fluid of classical particles carrying Ising-like spins and having...