Lifetime of small systems controlled by autocatalytic reactions
| dc.creator | Pal, L. | |
| dc.date | 2004-07-05 | |
| dc.date.accessioned | 2026-07-07T02:59:01Z | |
| dc.date.available | 2026-07-07T02:59:01Z | |
| dc.description | By using the point model of reaction kinetics we have studied the stochastic properties of the lifetime of small systems controlled by autocatalytic reaction A+X -> X+X -> A+X, X -> B. Assuming that a system is living only when the number of autocatalytic particles is larger than zero but smaller than a positive integer N, we have calculated the probability of the lifetime provided that the number of substrate particles A is kept constant by a suitable reservoir, and the end-products B do not take part in the reaction. We have shown that the density function of the lifetime is strongly asymmetric and in certain cases it has a well-defined minimum at the beginning of the process. It has been also proven that the extinction probability of systems of this type is exactly 1. | |
| dc.description | 8 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0407106 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0407106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24346 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Lifetime of small systems controlled by autocatalytic reactions | |
| dc.type | text |