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Abstract
We study firstpassage 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 nonvanishing 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 

Article number  185001 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  46 
Issue number  18 
DOIs  
Publication status  Published  10 May 2013 
Keywords
 condmat.statmech
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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

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