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Abstract
The effect of partial absorption on a diffusive particle which stochastically resets its position with a finite rate $r$ is considered. The particle is absorbed by a target at the origin with absorption `velocity' $a$; as the velocity $a$ approaches $\infty$ the absorption property of the target approaches that of a perfectlyabsorbing target. The effect of partial absorption on firstpassage time problems is studied, in particular, it is shown that the mean time to absorption (MTA) is increased by an additive term proportional to $1/a$. The results are extended to multiparticle systems where independent searchers, initially uniformly distributed with a given density, look for a single immobile target. It is found that the average survival probability $P^{av}$ is modified by a multiplicative factor which is a function of $1/a$, whereas the decay rate of the typical survival probability $P^{typ}$ is decreased by an additive term proportional to $1/a$.
Original language  English 

Article number  022118 
Journal  Physical Review E  Statistical, Nonlinear and Soft Matter Physics 
Volume  87 
Issue number  2 
DOIs  
Publication status  Published  15 Feb 2013 
Keywords
 condmat.statmech
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Dive into the research topics of 'Effect of Partial Absorption on Diffusion with Resetting'. 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