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dc.contributor.author
Hoyuelos, Miguel Luis
dc.date.available
2023-08-18T13:56:09Z
dc.date.issued
2022-03
dc.identifier.citation
Hoyuelos, Miguel Luis; Transition rates of noninteracting quantum particles from the Widom insertion formula; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 105; 3; 3-2022; 1-7
dc.identifier.issn
1063-651X
dc.identifier.uri
http://hdl.handle.net/11336/208683
dc.description.abstract
Transition rates among different states in a system of noninteracting quantum particles in contact with a heat reservoir include the factor 1 n¯i, with a minus sign for fermions and a plus sign for bosons, where n¯i is the average occupation number of the final state. It is shown that this factor can be related to the difference of the chemical potential from that of an ideal classical mixture; this difference is formally equivalent to the excess chemical potential in a classical system of interacting particles. Using this analogy, Widom's insertion formula is used in the calculation of transition rates. The result allows an alternative derivation of quantum statistics from the condition that transition rates depend only on the number of particles in the target energy level. Instead, if transition rates depend on the particle number only in the origin level, the statistics of ewkons is obtained; this is an exotic statistics that can be applied to the description of dark energy.
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
Quantum Statistical Mechanics
dc.subject
Stochastic Processes
dc.subject
Widom Insertion Formula
dc.subject.classification
Física de los Materiales Condensados
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Transition rates of noninteracting quantum particles from the Widom insertion formula
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-07T18:42:45Z
dc.identifier.eissn
2470-0053
dc.journal.volume
105
dc.journal.number
3
dc.journal.pagination
1-7
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Hoyuelos, Miguel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.journal.title
Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.105.034111
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1103/PhysRevE.105.034111
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