Chaos, spatial extension, transport, and non-equilibrium thermodynamics

The connection between the thermodynamic description of transport phenomena and a microscopic description of the underlying chaotic motion has recently received new attention due to the convergence of ongoing developments in the theory of deterministic chaotic systems, in the foundation of non-equilibrium statistical physics and of non-equilibrium molecular dynamics simulations. An overview of these developments is given with an emphasis on explicit calculations on exactly solvable models, that may serve as paradigms for this approach to model transport.