{"title":"Transition path dynamics for one-dimensional run and tumble particle.","authors":"Hua Li, Yong Xu, Ralf Metzler, Jianwei Shen, Kheder Suleiman","doi":"10.1063/5.0249277","DOIUrl":null,"url":null,"abstract":"<p><p>We study transition path properties such as the transient probability density, transition path time and its distribution, splitting probability, coefficient of variation, and the transition path shape of active run and tumble particles for unconstrained motion. In particular, we provide the theoretical description of the transition path properties using forward and backward master equations. The theoretical results are supported by Monte Carlo simulations. In particular, we prove that the system dynamics do not feature a symmetry breaking in the transition path properties for the case of run and tumble particles considered here. The symmetry of the transition path properties is shown to emerge for variations of the particle tumbling rate, particle speed, and transition path region.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0249277","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We study transition path properties such as the transient probability density, transition path time and its distribution, splitting probability, coefficient of variation, and the transition path shape of active run and tumble particles for unconstrained motion. In particular, we provide the theoretical description of the transition path properties using forward and backward master equations. The theoretical results are supported by Monte Carlo simulations. In particular, we prove that the system dynamics do not feature a symmetry breaking in the transition path properties for the case of run and tumble particles considered here. The symmetry of the transition path properties is shown to emerge for variations of the particle tumbling rate, particle speed, and transition path region.
期刊介绍:
Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.