title: Binary data corruption due to a Brownian agent.
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 rho, for example, the mean of rho and the density-density correlation function. Excellent agreement is found with the results from numerical simulations. We also calculate the probability distribution of rho in d=1, which is found to be log normal, indicating that the system is governed by extreme fluctuations.
authors.affiliation: Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA.
authors.forename: T J
authors.initials: TJ
authors.lastname: Newman
authors.forename: W
authors.initials: W
authors.lastname: Triampo