Damage spreading in a single-component irreversible reaction process: Dependence of the system's immunity on the Euclidean dimension |
| |
Authors: | Ezequiel V Albano |
| |
Institution: | (1) Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata, Argentina |
| |
Abstract: | The spreading of a globally distributed damage, created in the stationary regime, is studied in a single-component irreversible reaction process, i.e., the BK model Browne and Kleban,Phys. Rev. A
40, 1615 (1989)]. The BK model describes one variant of the A+AA2 reaction process on a lattice in contact with a reservoir of A species. The BK model has a single parameter, namely the rate of arrival of A species to the lattice (Y). The model, exhibits an irreversible phase transition between a stationary reactive state with production of A2 species and a poisoned state with the lattice fully covered by A species. The transition takes place at critical points (Y
C
) which solely depend on the Euclidean dimensiond. It is found that the system is immune ford=1 andd=2, in the sense that even 100% of initial damage is healed within a finite healing period (T
H
). Within the reactive regime,T
H
diverges when approachingY
C
according toT
H
(Y
C
–Y)–, with 1.62 and 1.08 ford=1 andd=2, respectively. Ford=3 a frozen-chaotic transition is found close toY
s
0.4125, i.e., well inside the reactive regime 0YY
C
0.4985. Just atY
S
the damageD(t) heals according toD(t) t
–, with 0.71. For the frozen-chaotic transition atd=3 the order parameter critical exponent 0.997 is determined. |
| |
Keywords: | Irreversible reaction processes damage spreading irreversible phase transitions |
本文献已被 SpringerLink 等数据库收录! |
|