Diffusion-limited reactions on a two-dimensional lattice with binary disorder

Andrea Wolff*, Ingo Lohmar, Joachim Krug, Yechiel Frank, Ofer Biham

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including continuous deposition and spontaneous desorption of particles. Hopping and desorption are taken to be thermally activated processes. The activation energies are drawn from a binary distribution of well depths, corresponding to "shallow" and "deep" sites. This is the simplest nontrivial distribution, which we use to examine and explain fundamental features of the system. We simulate the system using kinetic Monte Carlo methods and provide a thorough understanding of our findings. We show that the combination of shallow and deep sites broadens the temperature window in which the reaction is efficient, compared to either homogeneous system. We also examine the role of spatial correlations, including systems where one type of site is arranged in a cluster or a sublattice. Finally, we show that a simple rate equation model reproduces simulation results with very good accuracy.

Original languageAmerican English
Article number061109
JournalPhysical Review E
Issue number6
StatePublished - 4 Jun 2010


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