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  • Letter
  • Open Access

Diffusion with local resetting and exclusion

Asaf Miron1,* and Shlomi Reuveni2,†

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
  • 2School of Chemistry, The Center for Physics and Chemistry of Living Systems, The Mark Ratner Institute for Single Molecule Chemistry, The Raymond and Beverly Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, Tel Aviv 6997801, Israel

  • *asaf.miron@weizmann.ac.il
  • †shlomire@tauex.tau.ac.il
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Phys. Rev. Research 3, L012023 – Published 5 March, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L012023

Abstract

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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Phys. Rev. Research 3, L012023– Published 5 March, 2021
  • Received 16 November 2020
  • Accepted 19 February 2021
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