Survival Probabilities of History-Dependent Random Walks
统计力学
2009-11-11 v1
摘要
We analyze the dynamics of random walks with long-term memory (binary chains with long-range correlations) in the presence of an absorbing boundary. An analytically solvable model is presented, in which a dynamical phase-transition occurs when the correlation strength parameter \mu reaches a critical value \mu_c. For strong positive correlations, \mu > \mu_c, the survival probability is asymptotically finite, whereas for \mu < \mu_c it decays as a power-law in time (chain length).
引用
@article{arxiv.cond-mat/0506063,
title = {Survival Probabilities of History-Dependent Random Walks},
author = {Uri Keshet and Shahar Hod},
journal= {arXiv preprint arXiv:cond-mat/0506063},
year = {2009}
}
备注
3 pages, 2 figures