Universal properties of interacting Brownian motors

Citation
Y. Aghababaie et al., Universal properties of interacting Brownian motors, PHYS REV E, 59(3), 1999, pp. 2578-2586
Citations number
29
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
59
Issue
3
Year of publication
1999
Part
A
Pages
2578 - 2586
Database
ISI
SICI code
1063-651X(199903)59:3<2578:UPOIBM>2.0.ZU;2-7
Abstract
We study the effects of interactions in ratchet models for one-dimensional Brownian motors. In these models, directed motion of a single particle (the motor) is produced by subjecting it to the action of a one-dimensional tim e-dependent asymmetric potential and thermal noise. We consider hen the col lective behavior of a finite density of such motors that move on it line an d interact with each other through excluded volume interactions. We show th at thr density-density correlation function, calculated in the steady state , exhibits dynamical scaling at long wavelengths and times. Our Monte Carlo simulations support the conjecture that the hydrodynamic properties of int eracting Brownian motors an governed by the Kardar-Parisi-Zhang universalit y class [Phys. Rev. Lat. 56, 889 (1986)]. We demonstrate numerically that t he effective noise governing the stochastic dynamics in a coarse-grained ve rsion of our model has short-range spatial correlations. Our results should be applicable to a wide variety of models for Brownian motors with short-r ange interactions. [S1063-651X(99)01802-4].