Directed transport in periodically rocked random sawtooth potentials
S. I. Denisov (1, 2), T. V. Lyutyy (2), E. S. Denisova (2), P., H\"anggi (3, 4), H. Kantz (1) ((1) Max Planck Institute for the Physics of, Complex Systems, Germany, (2) Sumy State University, Ukraine, (3) Augsburg, University, Germany, (4) National University of Singapore
TL;DR
This paper investigates how overdamped particles move in a randomly structured sawtooth potential under periodic rocking, identifying conditions for different transport behaviors through analytical and numerical methods.
Contribution
It introduces a detailed analysis of directed transport regimes in a random sawtooth potential with periodic driving, including transition conditions between regimes.
Findings
Two distinct transport regimes identified: nonzero and zero average velocity.
Analytical and numerical methods used to characterize transport properties.
Derived precise conditions for transitions between transport regimes.
Abstract
We study directed transport of overdamped particles in a periodically rocked random sawtooth potential. Two transport regimes can be identified which are characterized by a nonzero value of the average velocity of particles and a zero value, respectively. The properties of directed transport in these regimes are investigated both analytically and numerically in terms of a random sawtooth potential and a periodically varying driving force. Precise conditions for the occurrence of transition between these two transport regimes are derived and analyzed in detail.
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