Chaos and transport 
in time-reversible dissipative dynamical systems

R. Klages

Max-Planck-Institut für Physik komplexer Systeme,


Last part of the weekly lecture series "Statistical dynamics of nonequilibrium systems". Another fundamental approach to create nonequilibrium steady states will be discussed, which is based on so-called thermostating mechanisms modeling the interaction of a subsystem with a thermal reservoir. For the example of a Gaussian thermostated Lorentz gas it will be illustrated how dynamical systems properties can be related to macroscopic transport following the thermostat approach. The characteristics of Nosé-Hoover thermostats will be briefly discussed. By defining a "non-ideal" Nosé-Hoover thermostat we will finally elaborate onto the universality of certain characteristics obtained from standard Gaussian and Nosé-Hoover thermostats.