Probability of dimer reassociation in two dimensions

Citation
F. Montalenti et R. Ferrando, Probability of dimer reassociation in two dimensions, PHYS REV E, 61(4), 2000, pp. 3411-3416
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
4
Year of publication
2000
Part
A
Pages
3411 - 3416
Database
ISI
SICI code
1063-651X(200004)61:4<3411:PODRIT>2.0.ZU;2-I
Abstract
We study the problem of dimer dissociation and reassociation in two dimensi ons through a random-walk-like calculation In order to find the probability of dimer reassociation after a given number of hops, we give the exact ana lytical solution for the probability of a first return into a given region (rhombus) for a two-dimensional random walker on a squared lattice.