Binary data corruption due to a Brownian agent
arXiv:cond-mat/9811237 · doi:10.1103/PhysRevE.59.5172
Abstract
We introduce a model of binary data corruption induced by a Brownian agent (active random walker) on a d-dimensional lattice. A continuum formulation allows the exact calculation of several quantities related to the density of corrupted bits ρ; for example the mean of ρ, and the density-density correlation function. Excellent agreement is found with the results from numerical simulations. We also calculate the probability distribution of ρin d=1, which is found to be log-normal, indicating that the system is governed by extreme fluctuations.
39 pages, 10 figures, RevTeX