早期宇宙中的湍流手征磁级联
The turbulent chiral-magnetic cascade in the early universe
摘要:
在相对论粒子的等离子体中,旋向相反的费米子之间的不对称性可以通过称为手征磁效应的小尺度手征发电机不稳定性导致螺旋磁场的指数增长。在这里,我们表明,使用尺寸参数和数值模拟,这一过程中产生的洛伦兹力手性磁驱动湍流。在一定的波数k范围内,通过逆传递产生k^{-2}磁能谱。在该体系中,总手性(磁螺旋度加上归一化手性化学势)是守恒的。因此,随着螺旋磁场的增长,大部分的总手性被转移到磁螺旋性,直到手性磁效应终止。获得了光谱的高度、斜率和范围的定量结果。宇宙磁场的这种影响的后果进行了讨论。
英文摘要:
The presence of asymmetry between fermions of opposite handedness in plasmas of relativistic particles can lead to exponential growth of a helical magnetic field via a small-scale chiral dynamo instability known as the chiral magnetic effect. Here, we show, using dimensional arguments and numerical simulations, that this process produces through the Lorentz force chiral magnetically driven turbulence. A k^{-2} magnetic energy spectrum emerges via inverse transfer over a certain range of wavenumbers k. The total chirality (magnetic helicity plus normalized chiral chemical potential) is conserved in this system. Therefore, as the helical magnetic field grows, most of the total chirality gets transferred into magnetic helicity until the chiral magnetic effect terminates. Quantitative results for height, slope, and extent of the spectrum are obtained. Consequences of this effect for cosmic magnetic fields are discussed.
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