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DY: Fachverband Dynamik und Statistische Physik
DY 28: Statistical Physics far from Equilibrium
DY 28.2: Talk
Thursday, March 17, 2011, 10:30–10:45, HÜL 186
Crooks fluctuation theorem for the fluctuating lattice-Boltzmann model — •Léo Granger1, Markus Niemann2, and Holger Kantz1 — 1Max Planck Institut für Physik komplexer Systeme, Dresden, Germany — 2Carl von Ossietzky Universität Oldenburg, Institut für Physik, Oldenburg, Germany
We probe the validity of Crooks' fluctuation relation on the fluctuating lattice-Boltzmann model (FLBM), a highly simplified lattice model for a thermal ideal gas. Crooks' relation is one of the only rigorous results known about non-equilibrium thermodynamics. It links a dynamic quantity, the probability to perform a certain amount of work during a non quasi-static process, to a thermodynamic quantity, the difference in equilibrium free energy between the initial and the final states.
We simulate am ideal gas submitted to a force field. By gradually switching on and off the force field, we drive the system frome one thermondynamic equilibrium state to another, performing some work on the gas. By comparing the distributions of the work performed during the forward driving and time reversed driving, we show that the system satisfies Crooks' relation.