Random walk on a population of random walkers

Simple item page
dc.creatorAgliari, E.
dc.creatorBurioni, R.
dc.creatorCassi, D.
dc.creatorNeri, F. M.
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:49Z
dc.date.available2026-07-07T08:49:49Z
dc.descriptionWe consider a population of $N$ labeled random walkers moving on a substrate, and an excitation jumping among the walkers upon contact. The label $\mathcal{X}(t)$ of the walker carrying the excitation at time $t$ can be viewed as a stochastic process, where the transition probabilities are a stochastic process themselves. Upon mapping onto two simpler processes, the quantities characterizing $\mathcal{X}(t)$ can be calculated in the limit of long times and low walkers density. The results are compared with numerical simulations. Several different topologies for the substrate underlying diffusion are considered.
dc.description16 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0712.2849
dc.identifierhttp://arxiv.org/abs/0712.2849
dc.identifierJ. Phys. A: Math. Theor. 41, 015001 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144441
dc.subjectStatistical Mechanics
dc.titleRandom walk on a population of random walkers
dc.typetext

Files

Collections

arXiv