Distribution of the area enclosed by a 2D random walk in a disordered medium
arXiv:cond-mat/9901165 · doi:10.1103/PhysRevE.59.R2501
Abstract
The asymptotic probability distribution for a Brownian particle wandering in a 2D plane with random traps to enclose the algebraic area A by time t is calculated using the instanton technique.
4 pages, ReVTeX. Phys. Rev. E (March 1999), to be published
References in corpus (1)
Cited by in corpus (4)
- Analysis of negative magnetoresistance. Statistics of closed paths. I. Theory
- Area distribution of two-dimensional random walks on a square lattice
- Weak localization in macroscopically inhomogeneous two-dimensional systems: a simulation approach
- Nonuniversality of the interference quantum correction to conductivity beyond the diffusion regime