Induced current in quantum and classical ratchets

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In a previous work, we described transport in a classical, externally driven, overdamped ratchet. A transport current arises under two possible conditions: either by increasing the external driving or by adding an optimal amount of noise when the system operates below threshold. In this work, we stu...

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Autores principales: Carusela, M.F., Fendrik, A.J., Romanelli, L.
Formato: JOUR
Materias:
Brownian motors
Noise
Ratchets
Lyapunov methods
Damping mechanisms
Maximum Lyapunov exponent
Particular condition
Separation devices
Transport currents
Quantum chemistry
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02181274_v20_n2_p263_Carusela
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_02181274_v20_n2_p263_Carusela
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spelling todo:paper_02181274_v20_n2_p263_Carusela2023-10-03T15:10:43Z Induced current in quantum and classical ratchets Carusela, M.F. Fendrik, A.J. Romanelli, L. Brownian motors Noise Ratchets Lyapunov methods Brownian motors Damping mechanisms Maximum Lyapunov exponent Noise Particular condition Ratchets Separation devices Transport currents Quantum chemistry In a previous work, we described transport in a classical, externally driven, overdamped ratchet. A transport current arises under two possible conditions: either by increasing the external driving or by adding an optimal amount of noise when the system operates below threshold. In this work, we study the underdamped case. In order to obtain transport it is necessary for the presence of both - a damping mechanism and the lack of symmetries in the potential. Some interesting properties were found: under particular conditions the system could be considered as a mass separation device, and for a specific range of the control parameter, the maximum Lyapunov exponent is reduced when noise is added to the system. We also study analytically and numerically the quantum analog of the same system and explore the conditions to find transport. © 2010 World Scientific Publishing Company. Fil:Carusela, M.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02181274_v20_n2_p263_Carusela
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
Noise
Ratchets
Lyapunov methods
Brownian motors
Damping mechanisms
Maximum Lyapunov exponent
Noise
Particular condition
Ratchets
Separation devices
Transport currents
Quantum chemistry
spellingShingle Brownian motors
Noise
Ratchets
Lyapunov methods
Brownian motors
Damping mechanisms
Maximum Lyapunov exponent
Noise
Particular condition
Ratchets
Separation devices
Transport currents
Quantum chemistry
Carusela, M.F.
Fendrik, A.J.
Romanelli, L.
Induced current in quantum and classical ratchets
topic_facet Brownian motors
Noise
Ratchets
Lyapunov methods
Brownian motors
Damping mechanisms
Maximum Lyapunov exponent
Noise
Particular condition
Ratchets
Separation devices
Transport currents
Quantum chemistry
description In a previous work, we described transport in a classical, externally driven, overdamped ratchet. A transport current arises under two possible conditions: either by increasing the external driving or by adding an optimal amount of noise when the system operates below threshold. In this work, we study the underdamped case. In order to obtain transport it is necessary for the presence of both - a damping mechanism and the lack of symmetries in the potential. Some interesting properties were found: under particular conditions the system could be considered as a mass separation device, and for a specific range of the control parameter, the maximum Lyapunov exponent is reduced when noise is added to the system. We also study analytically and numerically the quantum analog of the same system and explore the conditions to find transport. © 2010 World Scientific Publishing Company.
format JOUR
author Carusela, M.F.
Fendrik, A.J.
Romanelli, L.
author_facet Carusela, M.F.
Fendrik, A.J.
Romanelli, L.
author_sort Carusela, M.F.
title Induced current in quantum and classical ratchets
title_short Induced current in quantum and classical ratchets
title_full Induced current in quantum and classical ratchets
title_fullStr Induced current in quantum and classical ratchets
title_full_unstemmed Induced current in quantum and classical ratchets
title_sort induced current in quantum and classical ratchets
url http://hdl.handle.net/20.500.12110/paper_02181274_v20_n2_p263_Carusela
work_keys_str_mv AT caruselamf inducedcurrentinquantumandclassicalratchets
AT fendrikaj inducedcurrentinquantumandclassicalratchets
AT romanellil inducedcurrentinquantumandclassicalratchets
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