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DY: Fachverband Dynamik und Statistische Physik
DY 24: Poster I
DY 24.41: Poster
Mittwoch, 28. März 2007, 16:00–18:00, Poster D
Validity criteria for the Fick-Jacobs equation — •P.S. Burada1, G. Schmid1, P. Hänggi1, D. Reguera2, and J.M. Rubí2 — 1Institut für Physik, Universität Augsburg, Germany — 2Department de Física Fonamental, Facultat de Física, Universidad de Barcelona, Spain
We analyze the validity of the Fick-Jacobs equation for transport of biased Brownian particles in periodic, quasi-one-dimensional structures [1]. The condition of validity for the critical applied bias up to which the Fick-Jacobs equilibration assumption holds is found to be a quadratic function of the periodicity of the structure, and is numerically verified. The comparison is performed through the average particle current for which an analytic expression within the Fick-Jacobs approach is derived.
The validity criteria is established from particle distributions along the main direction of transport and the transversal direction obtained numerically. Finally, we construct a phase diagram for the validity of the
equilibration assumption in terms of the periodicity of the structure and the ratio between the work done to the particles and available thermal energy.
[1] D. Reguera, G. Schmid, P.S. Burada, J.M. Rubí, P. Reimann, and P.
Hänggi, Phys. Rev. Lett. 96, 130603 (2006).