Please use this identifier to cite or link to this item:
|Title:||Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension|
Kumar, Vijay K
Majumdar, Satya N.
|Publisher:||IOP Publishing and SISSA|
|Citation:||Journal of Statistical Mechanics: Theory and Experiment, 2018, p043215|
|Abstract:||We investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the exact probability distribution of the particle with and without diffusion on the infinite line, as well as in a finite interval. In the infinite domain, this probability distribution approaches a Gaussian form in the long-time limit, as in the case of a regular Brownian particle. At intermediate times, this distribution exhibits unexpected multi-modal forms. In a finite domain, the probability distribution reaches a steady state form with peaks at the boundaries, in contrast to a Brownian particle. We also study the relaxation to the steady state analytically. Finally we compute the survival probability of the RTP in a semi-infinite domain. In the finite interval, we compute the exit probability and the associated exit times. We provide numerical verifications of our analytical results.|
|Description:||Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)|
|Copyright:||2018 IOP Publishing and SISSA Medialab srl|
|Appears in Collections:||Research Papers (TP)|
Files in This Item:
|2018_Journal of Statistical Mechanics Theory and Experiment_p043215.pdf|
|Restricted Access||1.67 MB||Adobe PDF||View/Open Request a copy|
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.