论文标题
电动区域无力电动力学的崩溃
Breakdown of force-free electrodynamics in electric zones
论文作者
论文摘要
结果表明,即使$ b^2 -e^2 <0 $(电动区)即使$ \ pmb {e} \ cdot \ pmb {b} = 0 $,也会在其中$ b^2 -e^2 <0 $(电动区)分解。自发创建此类区域将不可避免地导致血浆振荡,随后通过异常加热在几个时期内衰减,在某些条件下,在某些条件下排放高能量量子,直到系统放松到$ b^2-e^2-e^2 \ 2 \ sim 0 $的状态。对于M87,假设具有订单Unity多样性的配对等离子体,则compton冷却时间估计比$ e^2/b^2-1>(10^4/σ)^2 $的动态时间短,而$σ$是磁漆。如果电动区域较弱,全局系统将保持几乎无力的状态,但是,无力的条件为$ f^{μν}J_ν= 0 $,将在接入电场的顺序中损坏,并且无法描述波动动力学。我们的分析不支持最近的主张,即电区的创建可以触发过渡到无力的湍流,当在Kerr黑洞的巨石中产生时,可以导致提取黑洞旋转能。在腐烂的电区中产生的某些二次电磁模式是否可以提取BH能量是一个开放的问题。
It is shown that force-free electrodynamics (FFE) breaks down in regions where $B^2 -E^2 <0$ (electric zones) even if $\pmb{E}\cdot\pmb{B} =0$. Spontaneous creation of such regions will inevitably lead to plasma oscillations that will subsequently decay over a few periods via anomalous heating and, under certain conditions, emission of high energy quanta, until the system relaxes to a state in which $B^2-E^2 \sim 0$. For M87, assuming pair plasma with order unity multiplicity, the inverse Compton cooling time is estimated to be shorter than the dynamical time when $E^2/B^2-1 > (10^4/σ)^2$ roughly, where $σ$ is the magnetization. If the electric zone is weak, the global system will maintain a nearly force-free state, however, the force-free condition, $F^{μν}J_ν=0$, will be broken at the order of the access electric field and cannot describe wave dynamics. Our analysis does not support recent claims, that creation of electric zones can trigger a transition to force-free turbulence which, when generated in the ergosphere of a Kerr black hole, can lead to extraction of the black hole rotational energy. Whether some secondary electromagnetic modes produced in the decaying electric zone can extract the BH energy is yet an open question.