Survival probabilities in time-dependent random walks

Details Survival probabilities in time-dependent random walks Survival probabilities in time-dependent random walks

2004-03-08

arxiv.org/abs/cond-mat/0403209v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.70.016116

We analyze the dynamics of random walks in which the jumping probabilities are periodic {\it time-dependent} functions. In particular, we determine the survival probability of biased walkers who are drifted towards an absorbing boundary. The typical life-time of the walkers is found to decrease with an increment of the oscillation amplitude of the jumping probabilities. We discuss the applicability of the results in the context of complex adaptive systems.

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