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dc.contributor.author
Freitas, José Nahuel
dc.contributor.author
Paz, Juan Pablo
dc.date.available
2017-06-15T15:47:00Z
dc.date.issued
2014-10
dc.identifier.citation
Freitas, José Nahuel; Paz, Juan Pablo; Analytic solution for heat flow through a general harmonic network; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids And Related Interdisciplinary Topics; 90; 4; 10-2014; 1-10; 042128
dc.identifier.issn
1063-651X
dc.identifier.uri
http://hdl.handle.net/11336/18244
dc.description.abstract
We present an analytic expression for the heat current through a general harmonic network coupled with Ohmic reservoirs. We use a method that enables us to express the stationary state of the network in terms of the eigenvectors and eigenvalues of a generalized cubic eigenvalue problem. In this way, we obtain exact formulas for the heat current and the local temperature inside the network. Our method does not rely on the usual assumptions of weak coupling to the environments or on the existence of an infinite cutoff in the environmental spectral densities. We use this method to study nonequilibrium processes without the weak coupling and Markovian approximations. As a first application of our method, we revisit the problem of heat conduction in two- and three-dimensional crystals with binary mass disorder. We complement previous results showing that for small systems the scaling of the heat current with the system size greatly depends on the strength of the interaction between system and reservoirs. This somewhat counterintuitive result seems not to have been noticed before.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Heat Transport
dc.subject
Fourier Law
dc.subject
Quantum Transport
dc.subject.classification
Física de Partículas y Campos
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Analytic solution for heat flow through a general harmonic network
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-12T18:06:19Z
dc.journal.volume
90
dc.journal.number
4
dc.journal.pagination
1-10; 042128
dc.journal.pais
Estados Unidos
dc.journal.ciudad
College Park
dc.description.fil
Fil: Freitas, José Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: Paz, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.journal.title
Physical Review E: Statistical Physics, Plasmas, Fluids And Related Interdisciplinary Topics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.90.042128
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/pdf/10.1103/PhysRevE.90.042128
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.2904
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