Thermodynamics of a quasi-statically driven FPU chain with non-convex energy

In this talk we show that the "cold" FPU chain with double-well energy will thermalize even if driven infinitely slow. The resulting thermodynamic behavior, which can be qualified as rubber elasticity, can be described fully analytically in the case when the energy is bi-quadratic. As microscopic dissipation is added, the elastic behavior is gradually replaced by ideal plasticity.