Abstract

The statistical mechanics of steady flows, heat and shear, are presented in detail. For heat flow, the canonical non-equilibrium system, the phase space probability density is given explicitly. An equipartition theorem is derived. The stochastic dissipative equations of motion for phase space are also given. A fluctuation dissipation theorem is derived from the second entropy. Several Green-Kubo expressions for the thermal conductivity are derived, and their relation with the odd projection of the dynamic part of the reservoir entropy is discussed. The analysis is repeated for shear flow, for which the non-equilibrium probability density in phase space is given, as well as a Green-Kubo expression for the shear viscosity.

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 call

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.