论文标题
磁化等离子体中布朗粒子的非线性有效动力学
Nonlinear effective dynamics of Brownian particle in magnetized plasma
论文作者
论文摘要
在磁化等离子体中为棕色粒子提出了有效的描述。为了系统地捕获对线性Langevin方程的各种校正，我们为布朗粒子构建了有效的动作，以使其位于其位置。有效的动作首先是在非平衡有效场理论形式主义中得出的，然后通过微观全息模型确认，该模型由开放式弦探测磁ADS $ _5 $黑色brane组成。对于实际用法，非高斯有效动作转换为fokker-Planck型方程，这是Schr $ \ ddot {\ rm O} $ dinger方程的欧几里得类似物，并描述了粒子位置和速度的概率分布的时间演变。
An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic order in its position. The effective action is first derived within non-equilibrium effective field theory formalism, and then confirmed via a microscopic holographic model consisting of an open string probing magnetic AdS$_5$ black brane. For practical usage, the non-Gaussian effective action is converted into Fokker-Planck type equation, which is an Euclidean analog of Schr$\ddot{\rm o}$dinger equation and describes time evolution of probability distribution for particle's position and velocity.
