Neutrino-electron magnetohydrodynamics in an expanding Universe. (arXiv:2106.14892v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Perrone_L/0/1/0/all/0/1">L. M. Perrone</a> (1 and 2), <a href="http://arxiv.org/find/astro-ph/1/au:+Gregori_G/0/1/0/all/0/1">G. Gregori</a> (2), <a href="http://arxiv.org/find/astro-ph/1/au:+Reville_B/0/1/0/all/0/1">B. Reville</a> (3), <a href="http://arxiv.org/find/astro-ph/1/au:+Silva_L/0/1/0/all/0/1">L. O. Silva</a> (4), <a href="http://arxiv.org/find/astro-ph/1/au:+Bingham_R/0/1/0/all/0/1">R. Bingham</a> (5 and 6) ((1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, (2) Department of Physics, University of Oxford, (3) Max-Planck-Institut für Kernphysik, (4) GoLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade de Lisboa, (5) Rutherford Appleton Laboratory, (6) Department of Physics, University of Strathclyde)
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.
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.
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