Diffusion with local resetting and exclusion

Stochastic resetting models diverse phenomena across numerous scientific disciplines. Current understanding stems from the renewal framework, which relates systems subject to global resetting to their nonresetting counterparts. Yet, in interacting many-body systems, even the simplest scenarios invol...

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Main Authors: Asaf Miron, Shlomi Reuveni
Format: Article
Language:English
Published: American Physical Society 2021-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.L012023
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author Asaf Miron
Shlomi Reuveni
author_facet Asaf Miron
Shlomi Reuveni
author_sort Asaf Miron
collection DOAJ
description Stochastic resetting models diverse phenomena across numerous scientific disciplines. Current understanding stems from the renewal framework, which relates systems subject to global resetting to their nonresetting counterparts. Yet, in interacting many-body systems, even the simplest scenarios involving resetting give rise to the notion of local resetting, whose analysis falls outside the scope of the renewal approach. A prime example is that of diffusing particles with excluded volume interactions that independently attempt to reset their position to the origin of a one-dimensional lattice. With renewal rendered ineffective, we instead employ a mean-field approach whose validity is corroborated via extensive numerical simulations. The emerging picture sheds first light on the nontrivial interplay between interactions and resetting in many-body systems.
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spelling doaj.art-e9844d0475204c1a8e4052310d5751cd2024-04-12T17:08:00ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-0131L01202310.1103/PhysRevResearch.3.L012023Diffusion with local resetting and exclusionAsaf MironShlomi ReuveniStochastic resetting models diverse phenomena across numerous scientific disciplines. Current understanding stems from the renewal framework, which relates systems subject to global resetting to their nonresetting counterparts. Yet, in interacting many-body systems, even the simplest scenarios involving resetting give rise to the notion of local resetting, whose analysis falls outside the scope of the renewal approach. A prime example is that of diffusing particles with excluded volume interactions that independently attempt to reset their position to the origin of a one-dimensional lattice. With renewal rendered ineffective, we instead employ a mean-field approach whose validity is corroborated via extensive numerical simulations. The emerging picture sheds first light on the nontrivial interplay between interactions and resetting in many-body systems.http://doi.org/10.1103/PhysRevResearch.3.L012023
spellingShingle Asaf Miron
Shlomi Reuveni
Diffusion with local resetting and exclusion
Physical Review Research
title Diffusion with local resetting and exclusion
title_full Diffusion with local resetting and exclusion
title_fullStr Diffusion with local resetting and exclusion
title_full_unstemmed Diffusion with local resetting and exclusion
title_short Diffusion with local resetting and exclusion
title_sort diffusion with local resetting and exclusion
url http://doi.org/10.1103/PhysRevResearch.3.L012023
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