Binary data corruption due to a Brownian agent

Details Binary data corruption due to a Brownian agent Binary data corruption due to a Brownian agent

1998-11-17

arxiv.org/abs/cond-mat/9811237v1

Physics

Condensed Matter

Statistical Mechanics

39 pages, 10 figures, RevTeX

Scientific paper

10.1103/PhysRevE.59.5172

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.

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