Specific features of threshold diffusion in a tilted periodic potential. Simple model and analytical results in the underdamped regime
Institute of Chemical Physics, Russian Academy of
Sciences 117977, GSP-1, Kosygin str. 4, Moscow, Russia
Accepted: 9 September 2002
The specific features of Brownian motion in periodic tilted potential (PTP) are analyzed in the low damping limit (LDL), near the region of locked-to-running transition, with the use of the simple model of thin reflective barriers. This model allows for a fairly accurate analytical description of transport properties of the particle in the LDL. Derived formulas reproduce the numerical results obtained for PTP, in particular: strongly non-exponential (proved to be of Lévy-type) distribution of jump lengths, the dependence of this distribution on the external force, the force dependence of the lifetime of the running state, etc.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.-k – Transport processes
© EDP Sciences, 2002