Stochastic resetting in underdamped Brownian motion

Gupta, Deepak

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7189

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DC Field	Value	Language
dc.contributor.author	Gupta, Deepak	-
dc.date.accessioned	2019-04-01T19:28:22Z	-
dc.date.available	2019-04-01T19:28:22Z	-
dc.date.issued	2019-03	-
dc.identifier.citation	Journal of Statistical Mechanics: Theory and Experiment, 2019	en_US
dc.identifier.issn	1742-5468	-
dc.identifier.uri	http://hdl.handle.net/2289/7189	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en_US
dc.description.abstract	We consider a single Brownian particle in one dimension in a medium at a constant temperature in the underdamped regime. We stochastically reset the position of the Brownian particle to a fixed point in the space with a constant rate r whereas its velocity evolves irrespective of the position of the particle and the stochastic resetting mechanism. The nonequilibrium steady state of the position distribution is studied for this model system. Further, we study the distribution of the position of the particle in the finite time and the approach to the nonequilibrium steady state distribution with time. Numerical simulations are done to verify the analytical results.	en_US
dc.language.iso	en	en_US
dc.publisher	IOP Publishing and SISSA	en_US
dc.relation.uri	https://arxiv.org/abs/1812.07227	en_US
dc.relation.uri	https://doi.org/10.1088/1742-5468/ab054a	en_US
dc.rights	2019, IOP Publishing and SISSA	en_US
dc.subject	Brownian motion	en_US
dc.subject	diffusion	en_US
dc.subject	stochastic processes	en_US
dc.title	Stochastic resetting in underdamped Brownian motion	en_US
dc.type	Article	en_US
Appears in Collections:	Research Papers (TP)

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