Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos

Abstract Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermality of Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like b...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Giuseppe Gaetano Luciano, Massimo Blasone
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/887b8bf34d4542028ed5dcbe71d2e477
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:887b8bf34d4542028ed5dcbe71d2e477
record_format	dspace
spelling	oai:doaj.org-article:887b8bf34d4542028ed5dcbe71d2e4772021-11-14T12:13:39ZNonextensive Tsallis statistics in Unruh effect for Dirac neutrinos10.1140/epjc/s10052-021-09797-z1434-60441434-6052https://doaj.org/article/887b8bf34d4542028ed5dcbe71d2e4772021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09797-zhttps://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermality of Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like bath, provided that the underlying statistics is assumed to obey Tsallis prescription. This was analyzed explicitly for bosons. Here we extend this study to Dirac fermions and in particular to neutrinos. Working in the relativistic approximation, we provide an effective description of the modified Unruh spectrum in terms of the q-generalized Tsallis statistics, the q-entropic index being dependent on the mixing parameters $$\sin \theta $$ sin θ and $$\Delta m$$ Δ m . As opposed to bosons, we find $$q>1$$ q > 1 , which is indicative of the subadditivity regime of Tsallis entropy. An intuitive understanding of this result is discussed in relation to the nontrivial entangled structure exhibited by the quantum vacuum for mixed fields, combined with the Pauli exclusion principle.Giuseppe Gaetano LucianoMassimo BlasoneSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Giuseppe Gaetano Luciano Massimo Blasone Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
description	Abstract Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermality of Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like bath, provided that the underlying statistics is assumed to obey Tsallis prescription. This was analyzed explicitly for bosons. Here we extend this study to Dirac fermions and in particular to neutrinos. Working in the relativistic approximation, we provide an effective description of the modified Unruh spectrum in terms of the q-generalized Tsallis statistics, the q-entropic index being dependent on the mixing parameters $$\sin \theta $$ sin θ and $$\Delta m$$ Δ m . As opposed to bosons, we find $$q>1$$ q > 1 , which is indicative of the subadditivity regime of Tsallis entropy. An intuitive understanding of this result is discussed in relation to the nontrivial entangled structure exhibited by the quantum vacuum for mixed fields, combined with the Pauli exclusion principle.
format	article
author	Giuseppe Gaetano Luciano Massimo Blasone
author_facet	Giuseppe Gaetano Luciano Massimo Blasone
author_sort	Giuseppe Gaetano Luciano
title	Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
title_short	Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
title_full	Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
title_fullStr	Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
title_full_unstemmed	Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
title_sort	nonextensive tsallis statistics in unruh effect for dirac neutrinos
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/887b8bf34d4542028ed5dcbe71d2e477
work_keys_str_mv	AT giuseppegaetanoluciano nonextensivetsallisstatisticsinunruheffectfordiracneutrinos AT massimoblasone nonextensivetsallisstatisticsinunruheffectfordiracneutrinos
_version_	1718429357832142848

Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos

Ejemplares similares