Hamiltonian model of heat conductivity and Fourier law

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 is satisfied with a thermal conductivity proportional to T(x) where T(x) is the local temperature. Entropy flux and entropy production are also investigated.