Hamburg 2001 – scientific programme

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SYNT: Neue Transportphänomene - Vom Maxwell-Dämon zum Verkehrsstau

SYNT 0: Neue Transportph
änomene – Vom Maxwell-D
ämon zum Verkehrsstau

SYNT 0.3: Talk

Tuesday, March 27, 2001, 15:15–15:30, S 7

Rectification of current in ac-driven nonlinear systems and symmetry properties of the Boltzmann equation — •Oleg Yevtushenko^1,2, Sergej Flach¹, Yaroslav Zolotaryuk¹, and Alexandr Ovchinikov^1,3 — ¹Max–Planck–Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187, Dresden — ²The Abdus Salam ICTP, Strada Costiera 11, 34100 Trieste, Italy — ³Institute for Chemical Physics of Russian Academy of Sciences, 117977, Moscow, Russia

We study rectification of a current of particles moving in a spatially periodic potential under the influence of time- periodic forces with zero mean value. If certain time-space symmetries are broken a non-zero directed current of particles is possible. We investigate this phenomenon in the framework of the kinetic Boltzmann equation. We find that the attractor of the Boltzmann equation completely reflects the symmetries of the original one-particle equation of motion. Especially, we analyse the limits of weak and strong relaxation.