We study the problem of dimer dissociation and reassociation in two dimensions 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 analytical solution for the probability of a first return into a given region (rhombus) for a two-dimensional random walker on a squared lattice.
Montalenti, F., Ferrando, R. (2000). Probability of dimer reassociation in two dimensions. PHYSICAL REVIEW E, 61(4), 3411-3416 [10.1103/PhysRevE.61.3411].
Probability of dimer reassociation in two dimensions
MONTALENTI, FRANCESCO CIMBRO MATTIA;
2000
Abstract
We study the problem of dimer dissociation and reassociation in two dimensions 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 analytical solution for the probability of a first return into a given region (rhombus) for a two-dimensional random walker on a squared lattice.
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