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Berlin 2012 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Transport and Anomalous Diffusion

DY 27.2: Vortrag

Donnerstag, 29. März 2012, 15:00–15:15, MA 004

Fluctuations of time averages for Langevin dynamics in a binding force field — •Andreas Dechant1, Eric Lutz2, David A. Kessler3, and Eli Barkai31Department of Physics, Universität Augsburg, D-86356 Augsburg, Germany — 2Department of Physics, Freie Universität Berlin, D-14195 Berlin, Germany — 3Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar Ilan University, Ramat Gan 52900, Israel

We derive a simple formula for the fluctuations of the time average around the thermal mean for overdamped Brownian motion in a binding potential. Using a backward Fokker-Planck equation, introduced by Szabo et al. in the context of reaction kinetics, we show that for ergodic processes these finite measurement time fluctuations are determined by the Boltzmann measure. For the widely applicable logarithmic potential, ergodicity is broken. We quantify the large non-ergodic fluctuations and show how they are related to a super-aging correlation function.

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