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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.
Original language | English |
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Article number | 185001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 46 |
Issue number | 18 |
DOIs | |
Publication status | Published - 10 May 2013 |
Keywords
- cond-mat.stat-mech
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Dive into the research topics of 'Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics'. Together they form a unique fingerprint.Projects
- 1 Finished
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Design Principles for New Soft Materials
Cates, M., Allen, R., Clegg, P., Evans, M., MacPhee, C., Marenduzzo, D. & Poon, W.
7/12/11 → 6/06/17
Project: Research