Binary data corruption due to a Brownian agent
Statistical Mechanics
2009-10-31 v1
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.
Cite
@article{arxiv.cond-mat/9811237,
title = {Binary data corruption due to a Brownian agent},
author = {T. J. Newman and Wannapong Triampo},
journal= {arXiv preprint arXiv:cond-mat/9811237},
year = {2009}
}
Comments
39 pages, 10 figures, RevTeX