Noise-reduced diffusion-limited deposition

P. Meakin, T. Vicsek, T. Vicsek

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

To investigate the role of fluctuations in diffusion-limited growth the authors apply the noise reduction algorithm to the problem of two-dimensional deposition on a substrate consisting of a straight line. The authors consider the scaling of the height and the width of trees growing on the square lattice. For the sizes studied they find two length scales characterised by different exponents depending on the noise reduction parameter m. Using these exponents the effective fractal dimension Deff of trees is calculated and for m>>1 they obtain Deff approximately=1.57. The density profile in the direction of growth and the scaling properties of the lateral correlation function are also determined.

Original languageEnglish
Article number021
Pages (from-to)1271-1281
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume21
Issue number5
DOIs
Publication statusPublished - 1988

Fingerprint

Noise Reduction
Noise abatement
noise reduction
Exponent
exponents
Scaling
Effective Dimension
scaling
Density Profile
Fractal dimension
Square Lattice
Fractal Dimension
Straight Line
Length Scale
Correlation Function
Lateral
fractals
Substrate
Fluctuations
Substrates

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Noise-reduced diffusion-limited deposition. / Meakin, P.; Vicsek, T.; Vicsek, T.

In: Journal of Physics A: Mathematical and General, Vol. 21, No. 5, 021, 1988, p. 1271-1281.

Research output: Contribution to journalArticle

Meakin, P. ; Vicsek, T. ; Vicsek, T. / Noise-reduced diffusion-limited deposition. In: Journal of Physics A: Mathematical and General. 1988 ; Vol. 21, No. 5. pp. 1271-1281.
@article{7cb1bbc16db143c6b956df08397f91b8,
title = "Noise-reduced diffusion-limited deposition",
abstract = "To investigate the role of fluctuations in diffusion-limited growth the authors apply the noise reduction algorithm to the problem of two-dimensional deposition on a substrate consisting of a straight line. The authors consider the scaling of the height and the width of trees growing on the square lattice. For the sizes studied they find two length scales characterised by different exponents depending on the noise reduction parameter m. Using these exponents the effective fractal dimension Deff of trees is calculated and for m>>1 they obtain Deff approximately=1.57. The density profile in the direction of growth and the scaling properties of the lateral correlation function are also determined.",
author = "P. Meakin and T. Vicsek and T. Vicsek",
year = "1988",
doi = "10.1088/0305-4470/21/5/021",
language = "English",
volume = "21",
pages = "1271--1281",
journal = "Journal Physics D: Applied Physics",
issn = "0022-3727",
publisher = "IOP Publishing Ltd.",
number = "5",

}

TY - JOUR

T1 - Noise-reduced diffusion-limited deposition

AU - Meakin, P.

AU - Vicsek, T.

AU - Vicsek, T.

PY - 1988

Y1 - 1988

N2 - To investigate the role of fluctuations in diffusion-limited growth the authors apply the noise reduction algorithm to the problem of two-dimensional deposition on a substrate consisting of a straight line. The authors consider the scaling of the height and the width of trees growing on the square lattice. For the sizes studied they find two length scales characterised by different exponents depending on the noise reduction parameter m. Using these exponents the effective fractal dimension Deff of trees is calculated and for m>>1 they obtain Deff approximately=1.57. The density profile in the direction of growth and the scaling properties of the lateral correlation function are also determined.

AB - To investigate the role of fluctuations in diffusion-limited growth the authors apply the noise reduction algorithm to the problem of two-dimensional deposition on a substrate consisting of a straight line. The authors consider the scaling of the height and the width of trees growing on the square lattice. For the sizes studied they find two length scales characterised by different exponents depending on the noise reduction parameter m. Using these exponents the effective fractal dimension Deff of trees is calculated and for m>>1 they obtain Deff approximately=1.57. The density profile in the direction of growth and the scaling properties of the lateral correlation function are also determined.

UR - http://www.scopus.com/inward/record.url?scp=18844413369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18844413369&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/21/5/021

DO - 10.1088/0305-4470/21/5/021

M3 - Article

AN - SCOPUS:18844413369

VL - 21

SP - 1271

EP - 1281

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 5

M1 - 021

ER -