Particle number diffusion in second-order relativistic dissipative hydrodynamics with momentum-dependent relaxation time

2025
journal article
article
dc.abstract.enThis article explores particle number diffusion in relativistic hydrodynamics using kinetic theory with a modified collision kernel that incorporates the momentum dependence of the particle relaxation time. Starting from the Boltzmann equation within the extended relaxation time approximation (ERTA), we derive second-order evolution equations for the dissipative number current and calculate the associated transport coefficients. The sensitivity of transport coefficients to the particle momentum dependence of the collision timescale of the microscopic interactions in the hot QCD medium is analyzed. For a conformal, number-conserving system, we compare the ERTA-modified transport coefficients for particle diffusion with exact results derived from scalar field theory. With an appropriate parametrization of the relaxation time, we demonstrate the consistency of our analysis and assess the degree of agreement of the results with the exact solutions from scalar field theory. The relaxation times for the shear and number diffusion evolution equations are seen to be distinct in general when the momentum dependence of the relaxation time is taken into consideration.
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.authorSingh, Sunny Kumar
dc.contributor.authorBhadury, Samapan - 477984
dc.contributor.authorKurian, Manu
dc.contributor.authorChandra, Vinod
dc.date.accessioned2025-06-13T14:10:26Z
dc.date.available2025-06-13T14:10:26Z
dc.date.createdat2025-06-11T07:09:33Zen
dc.date.issued2025
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number11
dc.description.versionostateczna wersja wydawcy
dc.description.volume111
dc.identifier.articleid114007
dc.identifier.doi10.1103/sf5m-87w7
dc.identifier.eissn2470-0029
dc.identifier.issn2470-0010
dc.identifier.projectDRC IA
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/553323
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeinne
dc.subtypeArticle
dc.titleParticle number diffusion in second-order relativistic dissipative hydrodynamics with momentum-dependent relaxation time
dc.title.journalPhysical Review D
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
This article explores particle number diffusion in relativistic hydrodynamics using kinetic theory with a modified collision kernel that incorporates the momentum dependence of the particle relaxation time. Starting from the Boltzmann equation within the extended relaxation time approximation (ERTA), we derive second-order evolution equations for the dissipative number current and calculate the associated transport coefficients. The sensitivity of transport coefficients to the particle momentum dependence of the collision timescale of the microscopic interactions in the hot QCD medium is analyzed. For a conformal, number-conserving system, we compare the ERTA-modified transport coefficients for particle diffusion with exact results derived from scalar field theory. With an appropriate parametrization of the relaxation time, we demonstrate the consistency of our analysis and assess the degree of agreement of the results with the exact solutions from scalar field theory. The relaxation times for the shear and number diffusion evolution equations are seen to be distinct in general when the momentum dependence of the relaxation time is taken into consideration.
dc.affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.author
Singh, Sunny Kumar
dc.contributor.author
Bhadury, Samapan - 477984
dc.contributor.author
Kurian, Manu
dc.contributor.author
Chandra, Vinod
dc.date.accessioned
2025-06-13T14:10:26Z
dc.date.available
2025-06-13T14:10:26Z
dc.date.createdaten
2025-06-11T07:09:33Z
dc.date.issued
2025
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
11
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
111
dc.identifier.articleid
114007
dc.identifier.doi
10.1103/sf5m-87w7
dc.identifier.eissn
2470-0029
dc.identifier.issn
2470-0010
dc.identifier.project
DRC IA
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/553323
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtype
Article
dc.title
Particle number diffusion in second-order relativistic dissipative hydrodynamics with momentum-dependent relaxation time
dc.title.journal
Physical Review D
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations

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