Numerical Observation of Disorder-Induced Anomalous Kinetics in the A + A -> 0 Reaction

Abstract

We address via numerical simulation the two-dimensional bimolecular annihilation reaction $A+A\to \varnothing$ in the presence of quenched, random impurities. Renormalization group calculations have suggested that this reaction displays anomalous kinetics at long times, $c_A(t)\sim a{t}^{\delta -1}$, for certain types of topological or charged reactants and impurities. Both the exponent and the prefactor depend on the strength of disorder. The decay exponents determined from our simulations agree well with the values predicted by theory. The observed renormalization of the prefactor also agrees well with the values predicted by theory.

16 pages, 5 figures, uses Elsevier style elsart. To appear in Physica A

References in corpus (4)

• Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction
• The Effect of Static Disorder and Reactant Segregation on the $A+B\to \varnothing$ Reaction
• Direct Numerical Observation of Anomalous Diffusion in Random Media
• Ionic Reactions in Two Dimensions with Disorder

Cited by in corpus (6)

• The Reaction Process A+A->O in Sinai Disorder
• Field-theoretic technique for irreversible reaction processes
• Two-loop calculation of anomalous kinetics of the reaction $A+A\to \varnothing$ in randomly stirred fluid
• Monte Carlo simulations of bosonic reaction-diffusion systems
• Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description
• One-dimensional annihilating random walk with long-range interaction