Chaos Nameplat
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You Tube Flickr Twitter UniPHY Group iResearch App Facebook

Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047503 (2011); http://dx.doi.org/10.1063/1.3661160 (6 pages)

Brownian motors and stochastic resonance

José L. Mateos1 and Fernando R. Alatriste2

1Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México D.F., Mexico
2Maestría en Dinámica No Lineal y Sistemas Complejos, Universidad Autónoma de la Ciudad de México, C.P. 03100 México D.F., Mexico

View MapView Map

(Received 11 August 2011; accepted 27 October 2011; published online 29 December 2011)

We study the transport properties for a walker on a ratchet potential. The walker consists of two particles coupled by a bistable potential that allow the interchange of the order of the particles while moving through a one-dimensional asymmetric periodic ratchet potential. We consider the stochastic dynamics of the walker on a ratchet with an external periodic forcing, in the overdamped case. The coupling of the two particles corresponds to a single effective particle, describing the internal degree of freedom, in a bistable potential. This double-well potential is subjected to both a periodic forcing and noise and therefore is able to provide a realization of the phenomenon of stochastic resonance. The main result is that there is an optimal amount of noise where the amplitude of the periodic response of the system is maximum, a signal of stochastic resonance, and that precisely for this optimal noise, the average velocity of the walker is maximal, implying a strong link between stochastic resonance and the ratchet effect.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. A WALKER WITH TWO BROWNIAN MOTORS AND STOCHASTIC RESONANCE
  3. NUMERICAL RESULTS
  4. CONCLUDING REMARKS

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

Brownian motion, stochastic processes, transport processes

PACS

  • 05.40.Jc

    Brownian motion

  • 05.60.-k

    Transport processes

  • 02.50.Ey

    Stochastic processes

  • 05.40.-a

    Fluctuation phenomena, random processes, noise, and Brownian motion

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3661160

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    R. Dean Astumian and F. Moss, Special Focus Issue on the Constructive Role of Noise in Fluctuation Driven Transport and Stochastic Resonance, edited by D. Astumian and F. Moss, Chaos 8(3), 533 (1998)CHAOEH000008000003000533000001
    and references therein.

    A. R. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996)PHTOAD000049000003000039000001.

    L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).

    P. E. Greenwood, L. M. Ward, D. F. Russel, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000).

    J. L. Mateos, Phys. Rev. Lett. 84, 258 (2000).

    J. L. Mateos and F. R. Alatriste, Chaos 18, 043125 (2008)CHAOEH000018000004043125000001.

    R. F. Fox, I. R. Gatland, R. Roy, and G. Vemuri, Phys. Rev. A 38, 5938 (1988).


Figures (7)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Brownian motors and stochastic resonance
  2. Introduction to Focus Issue: Nonlinear and Stochastic Physics in Biology
  3. Detecting the topologies of complex networks with stochastic perturbations
  4. Chaotic phase synchronization in a modular neuronal network of small-world subnetworks
  5. How granular materials jam in a hopper
Go to AIP Home
Copyright © American Institute of Physics
close