Dynamics of damage spreading in irreversible reaction processes
- 3 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (1) , 108-111
- https://doi.org/10.1103/physrevlett.72.108
Abstract
Damage spreading (DS) introduces a new dynamic critical phenomenon in both an irreversible monomer-monomer (MM) reaction process and a MM process with one species desorption (MMD). For the MMD model the critical point of the frozen-chaotic transition and the order parameter critical exponent are determined. Also, at criticality the damage is healed according to a power-law decay with a characteristic exponent. For the MM (MMD) model the moments of the damage distribution probability exhibit multifractal (single gap) scaling behavior. DS on a dimer-monomer process (the Ziff-Gulari-Barshad model) is also studied.Keywords
This publication has 17 references indexed in Scilit:
- Metabolic stability and epigenesis in randomly constructed genetic netsPublished by Elsevier ,2004
- Study of the critical behavior of an irreversible phase transition in theA+B→ABreaction withBdesorption on a fractal surfacePhysical Review A, 1992
- Critical exponents for the irreversible surface reactionA+B→ABwithBdesorption on homogeneous and fractal mediaPhysical Review Letters, 1992
- Time-dependent perturbation theory for nonequilibrium lattice modelsPhysical Review Letters, 1991
- Characterizing kinetics near a first-order catalytic-poisoning transitionPhysical Review Letters, 1991
- Critical exponents for an irreversible surface reaction modelPhysical Review A, 1990
- Dynamics of spreading phenomena in two-dimensional Ising modelsPhysical Review Letters, 1987
- Equilibrium states of diffusion-limited reactionsPhysical Review Letters, 1987
- Steady-state chemical kinetics on fractals: Segregation of reactantsPhysical Review Letters, 1987
- Kinetic Phase Transitions in an Irreversible Surface-Reaction ModelPhysical Review Letters, 1986