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Kinetic description of quasi-stationary axisymmetric collisionless accretion disk plasmas with arbitrary magnetic field configurations

机译：具有任意磁场配置的准静态轴对称无碰撞吸积盘等离子体的动力学描述

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A kinetic treatment is developed for collisionless magnetized plasmas occurring in high temperature, low-density astrophysical accretion disks, such as are thought to be present in some\udradiatively inefficient accretion flows onto black holes. Quasi-stationary configurations are investigated, within the framework of a Vlasov-Maxwell description. The plasma is taken to be axisymmetric and subject to the action of slowly time-varying gravitational and electromagnetic fields. The magnetic field is assumed to be characterized by a family of locally nested but open\udmagnetic surfaces. The slow collisionless dynamics of these plasmas is investigated, yielding a\udreduced gyrokinetic Vlasov equation for the kinetic distribution function. For doing this, an asymptotic quasi-stationary solution is first determined, represented by a generalized bi-Maxwellian distribution expressed in terms of the relevant adiabatic invariants. The existence of\udthe solution is shown to depend on having suitable kinetic constraints and conditions leading to\udparticle trapping phenomena. With this solution, one can treat temperature anisotropy, toroidal and poloidal flow velocities, and finite Larmor-radius effects. An asymptotic expansion for the distribution function permits analytic evaluation of all the relevant fluid fields. Basic theoretical features of the solution and their astrophysical implications are discussed. As an application, the possibility of describing the dynamics of slowly time-varying accretion flows and the self generation\udof magnetic field by means of a “kinetic dynamo effect” are discussed. Both effects are\udshown to be related to intrinsically kinetic physical mechanisms.
机译：针对在高温，低密度天体物理吸积盘中发生的无碰撞磁化等离子体，开发了一种动力学处理方法，例如认为存在于黑洞上某些\非辐射效率低的吸积流中。在Vlasov-Maxwell描述的框架内，研究了准平稳配置。等离子体被认为是轴对称的，并且受到重力和电磁场的缓慢变化。假定磁场的特征是由一系列局部嵌套但开放的\过磁表面组成。研究了这些等离子体的缓慢无碰撞动力学，得出了动力学分布函数的\\简化的陀螺动力学Vlasov方程。为此，首先确定一个渐近的准平稳解，用相关绝热不变量表示的广义双麦克斯韦分布表示。溶液的存在被证明取决于具有合适的动力学约束和导致颗粒捕获现象的条件。使用这种解决方案，可以治疗温度各向异性，环向和极向流速以及有限的拉莫尔半径效应。分布函数的渐近展开允许对所有相关流场进行解析评估。讨论了解决方案的基本理论特征及其天体物理意义。作为一种应用，讨论了通过“动力学发电机效应”描述慢时变吸积流的动力学和磁场的自产生\ udof的可能性。两种作用都被证明与内在动力学物理机制有关。

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