Target problem on lattice clusters above the percolation threshold

✍ Scribed by V.M. Syutkin; V.A. Tolkatchev

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 353 KB
• Volume: 86
• Category: Article
• ISSN: 0167-7322
• DOI: 10.1016/s0167-7322(99)00154-3

✦ Synopsis

Target problem A + B ~ A has been studied by computer simulation of random walks of particles A on a simple cubic lattice either randomly closed sites or with randomly removed bonds above the percolation threshold. It is shown that at low concentrations of walkers, the nonexponential decay of particles B derives mainly from rate constant distribution. Anomalous diffusion of walkers contributes to the nonexponential kinetic behavior at short times or at high concentration of walkers only. The distribution of specific reaction rates arises from the fact that the density of the pathways taken by particles A to reach the target 13 fluctuates quite strongly with space.