[Some basic research problems related to energy: Annual progress report]

A new simple relation has been found, between the transport coefficients of a fluid, in particular the viscosity, and the maximum and minimum Lyapunov exponents of the fluid in a non-equilibrium stationary state. This relation holds arbitrarily far from equilibrium, as long as the transport coefficients themselves make sense. It is hoped that this new relation will provide new insight in the nature and properties of transport coefficients or, in general, in fluid behavior far from equilibrium, i.e., in the strongly non-linear regime