Kinetics of the $A+B \to 0$ reaction with mass-dependent fragmentation
| dc.creator | Kwon, Sungchul | |
| dc.creator | Kim, Yup | |
| dc.date | 2006-12-18 | |
| dc.date.accessioned | 2026-07-07T07:35:36Z | |
| dc.date.available | 2026-07-07T07:35:36Z | |
| dc.description | We investigate the kinetics of uniformly driven $A+B \to 0$ reaction with mass-dependent fragmentation in one dimension. In this model, the fragmented mass $m$ of a site with mass $n_i$ is given as $m=n^λ_i$, and it is driven to the one direction. When opposite species masses occupy the same site, mass reaction takes place instantaneously. Since the fragmented mass $m$ of $λ<1$ is less than mass $n_i$ of a site, the exponent $λ$ controls the attractive interaction between particles at the same site. The $λ=0$ case corresponds to hard-core (HC) particle system. With equal initial densities of both species, we numerically confirm that the scaling behaviors of density and lengths except the domain length $\ell$ are the same as that of the uniformly driven HC particle system. The scaling behavior of $\ell$ is $\ell \sim t^{2/3}$. The kinetics of the reaction is independent of $λ$ as long as $λ<1$. The $λ$-independent kinetics results from the $λ$-independent collective motions of single species domains. | |
| dc.description | 6 pages and 7 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612443 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120145 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Kinetics of the $A+B \to 0$ reaction with mass-dependent fragmentation | |
| dc.type | text |