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arXiv 2106.14892astro-ph.COastro-ph.HEhep-ph
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膨胀宇宙中的中微子-电子磁流体力学

Neutrino-electron magnetohydrodynamics in an expanding Universe

L. M. Perrone, G. Gregori, B. Reville, L. O. Silva, R. Bingham

摘要:

我们推导出一个新的模型,中微子等离子体相互作用在一个膨胀的宇宙,包括集体效应的中微子上的等离子体成分。我们从平坦的Friedmann-Robertson-Walker度规中的多物种等离子体的动力学描述开始,其中粒子通过弱相互作用的带电和中性电流形式与中微子耦合。然后,我们推导出流体方程,并专门我们的模型(a)轻子时代,在那里我们考虑一对电子-正电子等离子体与电子(反)中微子相互作用,(b)后的电子正电子湮没,在那里我们模拟电子-质子等离子体,并采取慢离子和惯性较小的电子的限制,以获得一组中微子-电子磁流体动力学(NEMHD)方程。在这两个模型中,等离子体的动力学都受到中微子运动通过有质动力的影响,因此,感应方程中出现了新的项,可以作为早期宇宙中产生磁场的来源。我们的模型可能的应用提出了一个简短的讨论。

英文摘要:

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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