{"title":"Joint probability density of a passive article with force and magnetic field","authors":"Jae-Won Jung, Sung Kyu Seo, Kyungsik Kim","doi":"arxiv-2409.02401","DOIUrl":null,"url":null,"abstract":"We firstly study the Navier-Stokes equation for the motion of a passive\nparticle with harmonic, viscous, perturbative forces, subject to an\nexponentially correlated Gaussian force. Secondly, from the Fokker-Planck\nequation in an incompressible conducting fluid of magnetic field, we\napproximately obtain the solution of the joint probability density by using\ndouble Fourier transforms in three-time domains. In addition, the kurtosis, the\ncorrelation coefficient, and the moment from moment equation are numerically\ncalculated.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Statistical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.02401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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