TOWARD THE FOURIER LAWFOR A WEAKLY INTERACTING ANHARMONIC CRYSTAL

摘要

The problem of deriving the heat equation and Fourier's law for the macro-scopic evolution of the energy from a microscopic dynamics of interacting atoms (Hamiltonian or quantum), is one of the major goals of nonequilibrium statistical mechanics [2].Although we are still very far from a rigorous mathematical derivation, we now have some understanding of the needed ingredients.