Stochastic resonance and Brownian ratchets

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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, Alejandro J., Romanelli, Lilia, Perazzo, Roberto Pedro José
Publicado:	2006
Materias:	Brownian motors Coherent transport Diffusion Thermal enhancement Transport phenomena Potential energy Resonance Transport properties Statistical mechanics
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v359_n1-4_p75_Fendrik http://hdl.handle.net/20.500.12110/paper_03784371_v359_n1-4_p75_Fendrik
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_03784371_v359_n1-4_p75_Fendrik
record_format	dspace
spelling	paper:paper_03784371_v359_n1-4_p75_Fendrik2023-06-08T15:40:05Z Stochastic resonance and Brownian ratchets Fendrik, Alejandro J. Romanelli, Lilia Perazzo, Roberto Pedro José 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v359_n1-4_p75_Fendrik 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, Alejandro J. Romanelli, Lilia Perazzo, Roberto Pedro José 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.
author	Fendrik, Alejandro J. Romanelli, Lilia Perazzo, Roberto Pedro José
author_facet	Fendrik, Alejandro J. Romanelli, Lilia Perazzo, Roberto Pedro José
author_sort	Fendrik, Alejandro 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
publishDate	2006
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v359_n1-4_p75_Fendrik http://hdl.handle.net/20.500.12110/paper_03784371_v359_n1-4_p75_Fendrik
work_keys_str_mv	AT fendrikalejandroj stochasticresonanceandbrownianratchets AT romanellililia stochasticresonanceandbrownianratchets AT perazzorobertopedrojose stochasticresonanceandbrownianratchets
_version_	1768542318779957248

Stochastic resonance and Brownian ratchets

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