带力和磁场的被动物品的联合概率密度

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-04 DOI:arxiv-2409.02401

Jae-Won Jung, Sung Kyu Seo, Kyungsik Kim

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引用次数: 0

摘要

我们首先研究了受非指数相关高斯力作用的具有谐波、粘性、扰动力的被动粒子运动的纳维-斯托克斯方程。其次，从磁场不可压缩导电流体中的 Fokker-Planckequation 出发，通过在三时域中使用双傅里叶变换，我们大致得到了联合概率密度的解。此外，还对峰度、相关系数以及矩方程的矩进行了数值计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Joint probability density of a passive article with force and magnetic field

We firstly study the Navier-Stokes equation for the motion of a passive particle with harmonic, viscous, perturbative forces, subject to an exponentially correlated Gaussian force. Secondly, from the Fokker-Planck equation in an incompressible conducting fluid of magnetic field, we approximately obtain the solution of the joint probability density by using double Fourier transforms in three-time domains. In addition, the kurtosis, the correlation coefficient, and the moment from moment equation are numerically calculated.

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arXiv - PHYS - Statistical Mechanics

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