Memory-Controlled Annihilation Reactions
| dc.creator | Trimper, Steffen | |
| dc.creator | Zabrocki, Knud | |
| dc.creator | Schulz, Michael | |
| dc.date | 2003-03-18 | |
| dc.date.accessioned | 2026-07-07T02:50:14Z | |
| dc.date.available | 2026-07-07T02:50:14Z | |
| dc.description | We consider a diffusion-limited reaction in case the reacting entities are not available simultaneously. Due to the fact that the reaction takes place after a spatiotemporal accumulation of reactants, the underlying rate equation has to be modified by additional non-local terms. Owing to the delay effects a finite amount of reactants remains localized, preventing a further reaction and the asymptotic decay is terminated at a finite density. The resulting inhomogeneous non-zero stationary concentration is stable against long wave length fluctuations. Below a critical wave vector $k_c$ the system becomes inert, whereas a complete decay is realized above $k_c$. The phase diagram for the one species-annihilation process $A + A \to 0$ exhibits a behavior comparable to a second order phase transition. Obviously the memory effects are equivalent to long range interaction and the non-local kinetics is basically independent on space dimensions. | |
| dc.description | 12 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0303336 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0303336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21038 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Memory-Controlled Annihilation Reactions | |
| dc.type | text |