Annihilation Catastrophe: From Formation to Universal Explosion
| dc.creator | Shipilevsky, Boris M. | |
| dc.date | 2005-07-14 | |
| dc.date | 2006-07-25 | |
| dc.date.accessioned | 2026-07-07T06:41:20Z | |
| dc.date.available | 2026-07-07T06:41:20Z | |
| dc.description | I present a systematic analysis of formation of the universal annihilation catastrophe which develops in an open system, where species $A$ and $B$ diffuse from the bulk of restricted medium and die on its surface (desorb) by the reaction $A + B \to 0$. This phenomenon arises in the diffusion-controlled limit as a result of self-organizing explosive growth (drop) of the surface concentrations of, respectively, slow and fast particles ({\it concentration explosion}) and manifests itself in the form of an abrupt singular jump of the desorption flux relaxation rate. As striking results I find the dependences of time and amplitude of the catastrophe on the initial particle number, and answer the basic questions of when and how universality is achieved. | |
| dc.description | 13 pages, 8 figures, long length paper | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507323 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101635 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Annihilation Catastrophe: From Formation to Universal Explosion | |
| dc.type | text |