Abstract
Abstract
A standard symmetrical random walk with Poissonian resetting in a chain with terminal sinks is considered. The expressions for probabilities of occupation of chain nodes are obtained for arbitrary values of chain length N, rate k of jumps to adjacent nodes, sink intensities q
0, q
N
and placements of resetting node n
r
and starting node n
0. These expressions are used for calculating the dependences of the prime characteristics of the process (unconditional and conditional mean first passage/exit times and splitting probabilities W
0, W
N
) on resetting rate r. Among a rich variety of process scenarios, the possibility of inverting the ratio W
0/W
N
with r growing is of special interest. This provides an effective mechanism of controlling the process outcome.
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献