强迫Vlasov动力学中的不可逆能量流
Irreversible energy flow in forced Vlasov dynamics
摘要：
最近的一篇论文[Phys.Plasmas 20，032304（2013）]将强迫线性Vlasov方程视为与湍流波动浴相互作用的单个稳定等离子体波数的准稳态的模型。这种方法在不求解非线性动力学的情况下，对可能的能量流有了一些了解。目前的工作的中心结果是，强迫线性Vlasov方程表现出渐近零（不可逆）耗散的所有订单下的失谐的强迫频率和特征频率与粒子流。我们首先证明了这一点，通过直接计算，跟踪能量流的线性（无碰撞）弗拉索夫方程的某些确切的守恒律。然后利用弱碰撞厄米矩公式详细分析了稳态解，并与数值解进行了比较。这导致了厄米能谱的详细描述，并证明在所有的订单没有耗散，补充了无碰撞弗拉索夫的结果。
英文摘要：
A recent paper [Phys. Plasmas 20, 032304 (2013)] considered the forced linear Vlasov equation as a model for the quasi-steady state of a single stable plasma wavenumber interacting with a bath of turbulent fluctuations. This approach gives some insight into possible energy flows without solving for nonlinear dynamics. The central result of the present work is that the forced linear Vlasov equation exhibits asymptotically zero (irreversible) dissipation to all orders under a detuning of the forcing frequency and the characteristic frequency associated with particle streaming. We first prove this by direct calculation, tracking energy flow in terms of certain exact conservation laws of the linear (collisionless) Vlasov equation. Then we analyze the steady-state solutions in detail using a weakly collisional Hermite-moment formulation, and compare with numerical solution. This leads to a detailed description of the Hermite energy spectrum, and a proof of no dissipation at all orders, complementing the collisionless Vlasov result.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
