Joint probability density of a passive article with force and magnetic field
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912014245298176 |
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| author | Jung, Jae-Won Seo, Sung Kyu Kim, Kyungsik |
| author_facet | Jung, Jae-Won Seo, Sung Kyu Kim, Kyungsik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02401 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Joint probability density of a passive article with force and magnetic field Jung, Jae-Won Seo, Sung Kyu Kim, Kyungsik Statistical Mechanics 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. |
| title | Joint probability density of a passive article with force and magnetic field |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2409.02401 |