Binary data corruption due to a Brownian agent

T. J. Newman; Wannapong Triampo

doi:10.1103/PhysRevE.59.5172

Binary data corruption due to a Brownian agent

T. J. Newman, Wannapong Triampo

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 ?, 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.

Original language	English
Pages (from-to)	5172-5186
Number of pages	15
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	59
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.59.5172
Publication status	Published - May 1999

Access to Document

10.1103/PhysRevE.59.5172

Cite this

@article{b019acc74c634e7ebd0f720bc25da842,

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 ?, 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.",

author = "Newman, {T. J.} and Wannapong Triampo",

year = "1999",

month = may,

doi = "10.1103/PhysRevE.59.5172",

language = "English",

volume = "59",

pages = "5172--5186",

journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1550-2376",

publisher = "American Physical Society",

number = "5 ",

}

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

SN - 1550-2376

VL - 59

SP - 5172

EP - 5186

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 5

ER -

Binary data corruption due to a Brownian agent

Abstract

Access to Document

Other files and links

Fingerprint

Binary data corruption due to a Brownian agent. II. Two dimensions, competing agents, and generalized couplings

Cite this