Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 21: Statistical Physics (general) I

DY 21.6: Talk

Tuesday, March 28, 2006, 11:15–11:30, SCH 251

Lineabatic treatment of periodically driven stochastic systems — •Mykhaylo Evstigneev and Peter Reimann — Universität Bielefeld, Unviversitätsstr. 25, 33615 Bielefeld

A periodically driven noisy system in the limit of long times is considered. To deduce its asymptotic time-periodic probability distribution, two approaches are commonly used: adiabatic theory, valid if driving is very slow, and linear response theory, applicable when driving is weak. A novel approximation scheme - the lineabatic approximation - is introduced, which combines these two approaches to yield the driven probability distribution even when driving is moderately strong and fast, so that both linear response and adiabatic approximations break down. The accuracy of the lineabatic scheme is discussed based on specific examples.