Boltzmann equations for neutrinos with flavor mixings

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

With a view of applications to the simulations of supernova explosions and protoneutron star cooling, we derive the Boltzmann equations for the neutrino transport with flavor mixing based on the real time formalism of the nonequilibrium field theory and the gradient expansion of the Green function. The relativistic kinematics is properly taken into account. The advection terms are derived in the mean field approximation for the neutrino self-energy while the collision terms are obtained in the Born approximation. The resulting equations take the familiar form of the Boltzmann equation with corrections due to mixing both in the advection part and in the collision part. These corrections are essentially the same as those derived by Sirera et al. for the advection terms and those by Raffelt et al. for the collision terms, respectively, though the formalism employed here is different from theirs. The derived equations will be easily implemented in numerical codes employed in the simulations of supernova explosions and protoneutron star cooling.

Original languageEnglish
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume62
Issue number9
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

neutrinos
advection
collisions
supernovae
explosions
formalism
cooling
stars
Born approximation
Green's functions
kinematics
simulation
gradients
expansion
approximation
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Boltzmann equations for neutrinos with flavor mixings. / Yamada, Shoichi.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 62, No. 9, 01.01.2000.

Research output: Contribution to journalArticle

@article{3ff8f225a02244ada29f2071c974ec6c,
title = "Boltzmann equations for neutrinos with flavor mixings",
abstract = "With a view of applications to the simulations of supernova explosions and protoneutron star cooling, we derive the Boltzmann equations for the neutrino transport with flavor mixing based on the real time formalism of the nonequilibrium field theory and the gradient expansion of the Green function. The relativistic kinematics is properly taken into account. The advection terms are derived in the mean field approximation for the neutrino self-energy while the collision terms are obtained in the Born approximation. The resulting equations take the familiar form of the Boltzmann equation with corrections due to mixing both in the advection part and in the collision part. These corrections are essentially the same as those derived by Sirera et al. for the advection terms and those by Raffelt et al. for the collision terms, respectively, though the formalism employed here is different from theirs. The derived equations will be easily implemented in numerical codes employed in the simulations of supernova explosions and protoneutron star cooling.",
author = "Shoichi Yamada",
year = "2000",
month = "1",
day = "1",
doi = "10.1103/PhysRevD.62.093026",
language = "English",
volume = "62",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

TY - JOUR

T1 - Boltzmann equations for neutrinos with flavor mixings

AU - Yamada, Shoichi

PY - 2000/1/1

Y1 - 2000/1/1

N2 - With a view of applications to the simulations of supernova explosions and protoneutron star cooling, we derive the Boltzmann equations for the neutrino transport with flavor mixing based on the real time formalism of the nonequilibrium field theory and the gradient expansion of the Green function. The relativistic kinematics is properly taken into account. The advection terms are derived in the mean field approximation for the neutrino self-energy while the collision terms are obtained in the Born approximation. The resulting equations take the familiar form of the Boltzmann equation with corrections due to mixing both in the advection part and in the collision part. These corrections are essentially the same as those derived by Sirera et al. for the advection terms and those by Raffelt et al. for the collision terms, respectively, though the formalism employed here is different from theirs. The derived equations will be easily implemented in numerical codes employed in the simulations of supernova explosions and protoneutron star cooling.

AB - With a view of applications to the simulations of supernova explosions and protoneutron star cooling, we derive the Boltzmann equations for the neutrino transport with flavor mixing based on the real time formalism of the nonequilibrium field theory and the gradient expansion of the Green function. The relativistic kinematics is properly taken into account. The advection terms are derived in the mean field approximation for the neutrino self-energy while the collision terms are obtained in the Born approximation. The resulting equations take the familiar form of the Boltzmann equation with corrections due to mixing both in the advection part and in the collision part. These corrections are essentially the same as those derived by Sirera et al. for the advection terms and those by Raffelt et al. for the collision terms, respectively, though the formalism employed here is different from theirs. The derived equations will be easily implemented in numerical codes employed in the simulations of supernova explosions and protoneutron star cooling.

UR - http://www.scopus.com/inward/record.url?scp=85037183488&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037183488&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.62.093026

DO - 10.1103/PhysRevD.62.093026

M3 - Article

AN - SCOPUS:85037183488

VL - 62

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 9

ER -