TY - JOUR
T1 - Binary data corruption due to a Brownian agent
AU - Newman, T. J.
AU - Triampo, Wannapong
PY - 1999/5
Y1 - 1999/5
N2 - 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 ?, for example, the mean of ? and the density-density correlation function. Excellent agreement is found with the results from numerical simulations. We also calculate the probability distribution of ? in d= 1, which is found to be log normal, indicating that the system is governed by extreme fluctuations.
AB - 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 ?, for example, the mean of ? and the density-density correlation function. Excellent agreement is found with the results from numerical simulations. We also calculate the probability distribution of ? in d= 1, which is found to be log normal, indicating that the system is governed by extreme fluctuations.
UR - http://www.scopus.com/inward/record.url?scp=18344363025&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.59.5172
DO - 10.1103/PhysRevE.59.5172
M3 - Article
AN - SCOPUS:18344363025
VL - 59
SP - 5172
EP - 5186
JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 5
ER -