Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids

The pumps and ratchets are benchmark prototypes of systems that generate directed trans- port. In this work we introduce a possible hybrid between these systems, using a model in a Hamiltonian fashion, that combines a spatially periodic static potential with a local driving, with different possibili...

Full description

Autores:
Medina Sánchez, Nicolás
Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/77059
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/77059
http://bdigital.unal.edu.co/74382/
Palabra clave:
Pump
Ratchet
Directed Transport
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_d4a4d4e1eee836eba67da938a78d4407
oai_identifier_str oai:repositorio.unal.edu.co:unal/77059
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Dittrich, ThomasMedina Sánchez, Nicolás974a3d6f-2b87-4d6c-99b2-5391cc74ede13002020-03-30T06:37:23Z2020-03-30T06:37:23Z2019https://repositorio.unal.edu.co/handle/unal/77059http://bdigital.unal.edu.co/74382/The pumps and ratchets are benchmark prototypes of systems that generate directed trans- port. In this work we introduce a possible hybrid between these systems, using a model in a Hamiltonian fashion, that combines a spatially periodic static potential with a local driving, with different possibilities of space inversion and time reversal symmetry breaking. In this way, we found manifestations of irregular scattering that leads to net current generation for three types of general models of punchets found, in terms of the way they break the symmetries. Also, is showed how this currents depends on the symmetry manipulation parameters of the model. Further, an approximation to the quantum version of punchets shows discrete energy shifts induced by the periodic time-dependence of the driving as long as asymptotic Bloch states scatters.Maestríaapplication/pdfspaUniversidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de FísicaDepartamento de Física53 Física / PhysicsMedina Sánchez, Nicolás (2019) Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids. Maestría thesis, Universidad Nacional de Colombia - Sede Bogotá.Nonlinear Transport: in Hamiltonian Pump-Ratchet HybridsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMPumpRatchetDirected TransportORIGINALTesisMSc.pdfapplication/pdf10074722https://repositorio.unal.edu.co/bitstream/unal/77059/1/TesisMSc.pdf684302d67532fa7789777863f2f528baMD51THUMBNAILTesisMSc.pdf.jpgTesisMSc.pdf.jpgGenerated Thumbnailimage/jpeg4259https://repositorio.unal.edu.co/bitstream/unal/77059/2/TesisMSc.pdf.jpgdca9ca22185d6e9670d6cb7288353865MD52unal/77059oai:repositorio.unal.edu.co:unal/770592024-07-15 23:10:09.372Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
title Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
spellingShingle Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
Pump
Ratchet
Directed Transport
title_short Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
title_full Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
title_fullStr Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
title_full_unstemmed Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
title_sort Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids
dc.creator.fl_str_mv Medina Sánchez, Nicolás
dc.contributor.author.spa.fl_str_mv Medina Sánchez, Nicolás
dc.contributor.spa.fl_str_mv Dittrich, Thomas
dc.subject.proposal.spa.fl_str_mv Pump
Ratchet
Directed Transport
topic Pump
Ratchet
Directed Transport
description The pumps and ratchets are benchmark prototypes of systems that generate directed trans- port. In this work we introduce a possible hybrid between these systems, using a model in a Hamiltonian fashion, that combines a spatially periodic static potential with a local driving, with different possibilities of space inversion and time reversal symmetry breaking. In this way, we found manifestations of irregular scattering that leads to net current generation for three types of general models of punchets found, in terms of the way they break the symmetries. Also, is showed how this currents depends on the symmetry manipulation parameters of the model. Further, an approximation to the quantum version of punchets shows discrete energy shifts induced by the periodic time-dependence of the driving as long as asymptotic Bloch states scatters.
publishDate 2019
dc.date.issued.spa.fl_str_mv 2019
dc.date.accessioned.spa.fl_str_mv 2020-03-30T06:37:23Z
dc.date.available.spa.fl_str_mv 2020-03-30T06:37:23Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
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status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/77059
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/74382/
url https://repositorio.unal.edu.co/handle/unal/77059
http://bdigital.unal.edu.co/74382/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Física
Departamento de Física
dc.relation.haspart.spa.fl_str_mv 53 Física / Physics
dc.relation.references.spa.fl_str_mv Medina Sánchez, Nicolás (2019) Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids. Maestría thesis, Universidad Nacional de Colombia - Sede Bogotá.
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/77059/1/TesisMSc.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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