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

Jae-Won Jung; Sung Kyu Seo; Kyungsik Kim

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arXiv · 2409.02401

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

Jae-Won Jung·Sung Kyu Seo·Kyungsik Kim

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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.

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Jae-Won Jung, Sung Kyu Seo, Kyungsik Kim. 2024-09-04. Joint probability density of a passive article with force and magnetic field. https://arxiv.org/abs/2409.02401

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