Abstract
Recent developments in the applications of ideas from dynamical systems theory to transport phenomena in non-equilibrium fluids are reviewed. We discuss methods for expressing transport coefficients for fluid systems in terms of dynamical quantities that characterize the chaotic behavior of the phase-space trajectories of such systems. We describe two such methods: the escape rate method of Gaspard and co-workers, and the Gaussian thermostat method of Hoover, Posch and co-workers, and of Evans and Morriss and co-workers. Related issues such as the properties of repellers and attractors and of entropy production in such systems will be discussed. As examples of these formal developments, we describe recent work on Lorentz gases where the escape rate and Gaussian thermostat approaches to transport can be implemented in detail and the results compared with both numerical simulations and with the results of kinetic theory of gases.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
