Asymptotics for the survival probability of a Rouse chain monomer
| dc.creator | Oshanin, G. | |
| dc.date | 2008-01-18 | |
| dc.date.accessioned | 2026-07-07T08:56:24Z | |
| dc.date.available | 2026-07-07T08:56:24Z | |
| dc.description | We study the long-time asymptotical behavior of the survival probability P_t of a tagged monomer of an infinitely long Rouse chain in presence of two fixed absorbing boundaries, placed at x = \pm L. Mean-square displacement of a tagged monomer obeys \bar{X^2(t)} \sim t^{1/2} at all times, which signifies that its dynamics is an anomalous diffusion process. Constructing lower and upper bounds on P_t, which have the same time-dependence but slightly differ by numerical factors in the definition of the characteristic relaxation time, we show that P_t is a stretched-exponential function of time, \ln(P_t) \sim - t^{1/2}/L^2. This implies that the distribution function of the first exit time from a fixed interval [-L,L] for such an anomalous diffusion has all moments. | |
| dc.description | 6 pages, submitted to EPL | |
| dc.identifier | https://arxiv.org/abs/0801.2914 | |
| dc.identifier | http://arxiv.org/abs/0801.2914 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146599 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Probability | |
| dc.title | Asymptotics for the survival probability of a Rouse chain monomer | |
| dc.type | text |