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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Autores principales: Fendrik, A.J., Romanelli, L., Perazzo, R.P.J.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v359_n1-4_p75_Fendrik
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spelling 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
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