Ratchet universality in the presence of thermal noise

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jun;87(6):062114. doi: 10.1103/PhysRevE.87.062114. Epub 2013 Jun 10.

Abstract

We show that directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially periodic and symmetric potential can be reliably controlled by tailoring a biharmonic temporal force, in coherence with the degree-of-symmetry-breaking mechanism. We demonstrate that the effect of finite temperature on the purely deterministic ratchet scenario can be understood as an effective noise-induced change of the potential barrier which is in turn controlled by the degree-of-symmetry-breaking mechanism. Remarkably, we find that the same universal scenario holds for any symmetric periodic potential, while optimal directed ratchet transport occurs when the impulse transmitted (spatial integral over a half period) by the symmetric spatial force is maximum.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Diffusion
  • Energy Transfer*
  • Hot Temperature
  • Models, Theoretical*
  • Thermodynamics