Stochastic resetting in underdamped Brownian motion

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

Title:	Stochastic resetting in underdamped Brownian motion
Authors:	Gupta, Deepak
Keywords:	Brownian motion diffusion stochastic processes
Issue Date:	Mar-2019
Publisher:	IOP Publishing and SISSA
Citation:	Journal of Statistical Mechanics: Theory and Experiment, 2019
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.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/7189
ISSN:	1742-5468
Alternative Location:	https://arxiv.org/abs/1812.07227 https://doi.org/10.1088/1742-5468/ab054a
Copyright:	2019, IOP Publishing and SISSA
Appears in Collections:	Research Papers (TP)

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