We derive a new model for neutrino-plasma interactions in an expanding
universe that incorporates the collective effects of the neutrinos on the
plasma constituents. We start from the kinetic description of a multi-species
plasma in the flat Friedmann-Robertson-Walker metric, where the particles are
coupled to neutrinos through the charged- and neutral-current forms of the weak
interaction. We then derive the fluid equations and specialize our model to (a)
the lepton epoch, where we consider a pair electron-positron plasma interacting
with electron (anti-)neutrinos, and (b) after the electron-positron
annihilation, where we model an electron-proton plasma and take the limit of
slow ions and inertia-less electrons to obtain a set of neutrino-electron
magnetohydrodynamics (NEMHD) equations. In both models, the dynamics of the
plasma is affected by the neutrino motion through a ponderomotive force and, as
a result, new terms appear in the induction equation that can act as a source
for magnetic field generation in the early universe. A brief discussion on the
possible applications of our model is proposed.
Description
Neutrino-electron magnetohydrodynamics in an expanding Universe
%0 Generic
%1 perrone2021neutrinoelectron
%A Perrone, L. M.
%A Gregori, G.
%A Reville, B.
%A Silva, L. O.
%A Bingham, R.
%D 2021
%K tifr
%T Neutrino-electron magnetohydrodynamics in an expanding Universe
%U http://arxiv.org/abs/2106.14892
%X We derive a new model for neutrino-plasma interactions in an expanding
universe that incorporates the collective effects of the neutrinos on the
plasma constituents. We start from the kinetic description of a multi-species
plasma in the flat Friedmann-Robertson-Walker metric, where the particles are
coupled to neutrinos through the charged- and neutral-current forms of the weak
interaction. We then derive the fluid equations and specialize our model to (a)
the lepton epoch, where we consider a pair electron-positron plasma interacting
with electron (anti-)neutrinos, and (b) after the electron-positron
annihilation, where we model an electron-proton plasma and take the limit of
slow ions and inertia-less electrons to obtain a set of neutrino-electron
magnetohydrodynamics (NEMHD) equations. In both models, the dynamics of the
plasma is affected by the neutrino motion through a ponderomotive force and, as
a result, new terms appear in the induction equation that can act as a source
for magnetic field generation in the early universe. A brief discussion on the
possible applications of our model is proposed.
@misc{perrone2021neutrinoelectron,
abstract = {We derive a new model for neutrino-plasma interactions in an expanding
universe that incorporates the collective effects of the neutrinos on the
plasma constituents. We start from the kinetic description of a multi-species
plasma in the flat Friedmann-Robertson-Walker metric, where the particles are
coupled to neutrinos through the charged- and neutral-current forms of the weak
interaction. We then derive the fluid equations and specialize our model to (a)
the lepton epoch, where we consider a pair electron-positron plasma interacting
with electron (anti-)neutrinos, and (b) after the electron-positron
annihilation, where we model an electron-proton plasma and take the limit of
slow ions and inertia-less electrons to obtain a set of neutrino-electron
magnetohydrodynamics (NEMHD) equations. In both models, the dynamics of the
plasma is affected by the neutrino motion through a ponderomotive force and, as
a result, new terms appear in the induction equation that can act as a source
for magnetic field generation in the early universe. A brief discussion on the
possible applications of our model is proposed.},
added-at = {2021-06-30T07:51:06.000+0200},
author = {Perrone, L. M. and Gregori, G. and Reville, B. and Silva, L. O. and Bingham, R.},
biburl = {https://www.bibsonomy.org/bibtex/288b0f113fce8a52e0d1b7e11ec822bf5/citekhatri},
description = {Neutrino-electron magnetohydrodynamics in an expanding Universe},
interhash = {d8ed88bfa5a3d354fc712357a1771ed8},
intrahash = {88b0f113fce8a52e0d1b7e11ec822bf5},
keywords = {tifr},
note = {cite arxiv:2106.14892Comment: 10 pages, 1 figure, submitted to Physical Review D},
timestamp = {2021-06-30T07:51:06.000+0200},
title = {Neutrino-electron magnetohydrodynamics in an expanding Universe},
url = {http://arxiv.org/abs/2106.14892},
year = 2021
}