Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics

2012/12/17 by Martin R Evans, Martin R. Evans, Satya N. Majumdar +2 · 6 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Diffusion and Search Dynamics #Dynamics (music) #Noise (video) #Non-equilibrium thermodynamics #Stability (learning theory) #Thermodynamic equilibrium #Work (physics) #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1088/1751-8113/46/18/185001

published as J. Phys. A: Math. Theor. 46 185001 (2013) · 15 pages, 2 figures, submitted to Journal of Physics A: Mathematical and Theoretical

arxiv created 2012/12/17 · openalex publication_date 2013/04/19 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study first-passage time problems for a diffusive particle with stochastic resetting with a finite rate r . The optimal search time is compared quantitatively with that of an effective equilibrium Langevin process with the same stationary distribution. It is shown that the intermittent, nonequilibrium strategy with non-vanishing resetting rate is more efficient than the equilibrium dynamics. Our results are extended to multiparticle systems where a team of independent searchers, initially uniformly distributed with a given density, looks for a single immobile target. Both the average and the typical survival probability of the target are smaller in the case of nonequilibrium dynamics.

Citations

• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• The effects of intersegmental transfers on target location by proteins

Cited by

• Diffusion in a potential landscape with stochastic resetting
• First Order Transition for the Optimal Search Time of Lévy Flights with Resetting
• Random walk with random resetting to the maximum position
• Stochastic movement subject to a reset-and-residence mechanism: transport properties and first arrival statistics
• Subdiffusive continuous-time random walks with stochastic resetting
• Péclet number governs transition to acceleratory restart in drift-diffusion

Related

• Minimizing the Profligacy of Searches with Reset
• Intermittent random walks under stochastic resetting
• Abrupt transitions in the optimization of diffusion with distributed resetting
• Search by Return: Stochastic Resetting in Fluctuating Harmonic Potentials
• First-passage time of a Brownian searcher with stochastic resetting to random positions