Diffusion in a potential landscape with stochastic resetting

2014/08/09 by A. Pal, Arnab Pal · 6 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Computer science #Diffusion #Diffusion and Search Dynamics #Physics #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.91.012113

published as Phys. Rev. E 91, 012113 (2015) · 7 pages, 14 figures

arxiv created 2014/08/09 · openalex publication_date 2015/01/08 · arxiv updated 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The steady state of a Brownian particle diffusing in an arbitrary potential under the stochastic resetting mechanism has been studied. We show that there are different classes of nonequilibrium steady states depending on the nature of the potential. In the stable potential landscape, the system attains a well-defined steady state; however, the existence of the steady state for the unstable landscape is constrained. We have also investigated the transient properties of the propagator towards the steady state under the stochastic resetting mechanism. Finally, we have done numerical simulations to verify our analytical results.

Citations

• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics

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