Oberseminar Numerische Mathematik / Scientific Computing
Thomas Speck
UC Berkeley
The Thermodynamics of Small Driven Systems
Abstract:
Nonequilibrium fluctuation relations constitute one of the few exact results in nonequilibrium statistical physics beyond linear response. These relations, including Jarzynski's celebrated nonequilibrium work relation, restrict the probability distributions of thermodynamic quantities, like the external work applied to a system or the heat dissipated into a heat reservoir. Going beyond mean values, all quantities are defined along a single trajectory. I will present a framework to derive various nonequilibrium fluctuation relations for stochastic dynamics and will compare them with experimental results. I will also show how Onsager's principle leading to the fluctuation-dissipation theorem may be generalized for nonequilibrium steady states. Explicitly, the nonequilibrium fluctuation-dissipation theorem for the stochastic velocity is derived. The equilibrium form of the fluctuation-dissipation theorem for velocities can then be restored.
| Datum: | 13.12.10 | Zeit: | 17:00 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 031 im Erdgeschoss |