Chaos and transport in disordered classical nonlinear chains

Chaotic behavior is the reason for destruction of Anderson localization by a weak nonlinearity in a classical system. A disordered one-dimensional chain of coupled weakly anharmonic classical oscillators is one of the simplest models where this effect can be studied. I will analyze the probability for appearance of chaos in such chains, and then I will discuss the consequences of chaos for transport of conserved quantities along the chain.