Joint probability density of a passive article with force and magnetic field
Statistical Mechanics
2024-09-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2409.02401,
title = {Joint probability density of a passive article with force and magnetic field},
author = {Jae-Won Jung and Sung Kyu Seo and Kyungsik Kim},
journal= {arXiv preprint arXiv:2409.02401},
year = {2024}
}
Comments
19 pages, 5 Tables