Binary data corruption due to a Brownian agent.
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.
Newman
T J
TJ
Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA.
Triampo
W
W