Exact encounter times for many random walkers on regular and complex networks.
The exact mean time between encounters of a given particle in a system consisting of many particles undergoing random walks in discrete time is calculated, on both regular and complex networks. Analytical results are obtained both for independent walkers, where any number of walkers can occupy the same site, and for walkers with an exclusion interaction, when no site can contain more than one walker. These analytical results are then compared with numerical simulations, showing very good agreement.
Sanders
David P
DP
Departamento de Física, Facultad de Ciencias, and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510 México, Distrito Federal, Mexico. dps@fciencias.unam.mx
D003198:Computer Simulation; D008954:Models, Biological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D015398:Signal Transduction / Q000502:physiology*