Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
By M. Evans, Satya N. Majumdar, K. Mallick. 2012
145 citations recorded by the source corpus.
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.
Subfields: Molecular Biology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9d36f810e6343928a6c26d4a54c250de08caf506
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In Molecular Biology
In Statistical and Nonlinear Physics
Citations in the corpus
- Diffusion with resetting in arbitrary spatial dimension (2014, background): “Finally a comparison between the statistics of first-passage times for diffusion with stochastic resetting and for an equilibrium dynamics that generates the same stationary state has been made [15].”
- Stochastic Resetting: A (Very) Brief Review (2021, background): “[31] considered in the setting of first-passage time problems for a diffusive particle with stochastic resetting”
- Stochastic resetting and applications (2019, background): “The question is: which class of dynamics gives the lower mean time to absorption? In [81] it was shown that the optimal mean time to absorption under resetting with optimised constant rate r∗, is less than that for an effective equilibrium Langevin process with a potential that generates the same st”