Stochastic resonance and Brownian ratchets
We discuss the connections between Brownian ratchets (BR) and stochastic resonance (SR). We consider a periodic potential energy landscape with no left-right symmetry that is driven by an external force which can be derived from a potential that is periodic both in time and space. We show that this...
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todo:paper_03784371_v359_n1-4_p75_Fendrik2023-10-03T15:32:47Z Stochastic resonance and Brownian ratchets Fendrik, A.J. Romanelli, L. Perazzo, R.P.J. Brownian motors Coherent transport Diffusion Thermal enhancement Transport phenomena Diffusion Potential energy Resonance Transport properties Brownian motors Coherent transport Thermal enhancement Statistical mechanics We discuss the connections between Brownian ratchets (BR) and stochastic resonance (SR). We consider a periodic potential energy landscape with no left-right symmetry that is driven by an external force which can be derived from a potential that is periodic both in time and space. We show that this system presents two thermal enhancements within two different windows of the temperature. One is associated with a "coherent diffusion" by which particles jump back and forth between the minima of the periodic potential in synchrony with the external driving. The other is instead associated with a "coherent directional transport" by which particles hop synchronically from one minimum of the ratchet to the next. We calculate the current and the diffusion coefficients and show how transport undergoes a resonant enhancement. While the former is always present, the second only appears when left-right symmetry is broken. © 2005 Elsevier B.V. All rights reserved. Fil:Fendrik, A.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Romanelli, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Perazzo, R.P.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v359_n1-4_p75_Fendrik |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Brownian motors Coherent transport Diffusion Thermal enhancement Transport phenomena Diffusion Potential energy Resonance Transport properties Brownian motors Coherent transport Thermal enhancement Statistical mechanics |
spellingShingle |
Brownian motors Coherent transport Diffusion Thermal enhancement Transport phenomena Diffusion Potential energy Resonance Transport properties Brownian motors Coherent transport Thermal enhancement Statistical mechanics Fendrik, A.J. Romanelli, L. Perazzo, R.P.J. Stochastic resonance and Brownian ratchets |
topic_facet |
Brownian motors Coherent transport Diffusion Thermal enhancement Transport phenomena Diffusion Potential energy Resonance Transport properties Brownian motors Coherent transport Thermal enhancement Statistical mechanics |
description |
We discuss the connections between Brownian ratchets (BR) and stochastic resonance (SR). We consider a periodic potential energy landscape with no left-right symmetry that is driven by an external force which can be derived from a potential that is periodic both in time and space. We show that this system presents two thermal enhancements within two different windows of the temperature. One is associated with a "coherent diffusion" by which particles jump back and forth between the minima of the periodic potential in synchrony with the external driving. The other is instead associated with a "coherent directional transport" by which particles hop synchronically from one minimum of the ratchet to the next. We calculate the current and the diffusion coefficients and show how transport undergoes a resonant enhancement. While the former is always present, the second only appears when left-right symmetry is broken. © 2005 Elsevier B.V. All rights reserved. |
format |
JOUR |
author |
Fendrik, A.J. Romanelli, L. Perazzo, R.P.J. |
author_facet |
Fendrik, A.J. Romanelli, L. Perazzo, R.P.J. |
author_sort |
Fendrik, A.J. |
title |
Stochastic resonance and Brownian ratchets |
title_short |
Stochastic resonance and Brownian ratchets |
title_full |
Stochastic resonance and Brownian ratchets |
title_fullStr |
Stochastic resonance and Brownian ratchets |
title_full_unstemmed |
Stochastic resonance and Brownian ratchets |
title_sort |
stochastic resonance and brownian ratchets |
url |
http://hdl.handle.net/20.500.12110/paper_03784371_v359_n1-4_p75_Fendrik |
work_keys_str_mv |
AT fendrikaj stochasticresonanceandbrownianratchets AT romanellil stochasticresonanceandbrownianratchets AT perazzorpj stochasticresonanceandbrownianratchets |
_version_ |
1807317347474604032 |