Comparative study of large-scale Laplacian growth patterns

M. T. Batchelor; B. I. Henry; A. P. Roberts

doi:10.1103/PhysRevE.51.807

Comparative study of large-scale Laplacian growth patterns

M. T. Batchelor^*, B. I. Henry, A. P. Roberts

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We investigate the scaling of cluster size with mass for our simulations of diffusion-limited aggregation (DLA) clusters and dielectric-breakdown (DB) clusters of 106 particles grown on a square lattice, and DLA clusters of 106 particles grown off lattice. We find that the mass distribution and scaling behavior for the on-lattice DB model are intermediate between those for the on-lattice DLA model and the off-lattice DLA model. We take this as evidence that signatures of lattice anisotropy and the microscopic kinetics of attachment are both manifest at large length scales.

Original language	English
Pages (from-to)	807-810
Number of pages	4
Journal	Physical Review E
Volume	51
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.51.807
Publication status	Published - 1995

Access to Document

10.1103/PhysRevE.51.807

Cite this

@article{4c231be0d4d044c6928033a85d8837f5,

title = "Comparative study of large-scale Laplacian growth patterns",

abstract = "We investigate the scaling of cluster size with mass for our simulations of diffusion-limited aggregation (DLA) clusters and dielectric-breakdown (DB) clusters of 106 particles grown on a square lattice, and DLA clusters of 106 particles grown off lattice. We find that the mass distribution and scaling behavior for the on-lattice DB model are intermediate between those for the on-lattice DLA model and the off-lattice DLA model. We take this as evidence that signatures of lattice anisotropy and the microscopic kinetics of attachment are both manifest at large length scales.",

author = "Batchelor, {M. T.} and Henry, {B. I.} and Roberts, {A. P.}",

year = "1995",

doi = "10.1103/PhysRevE.51.807",

language = "English",

volume = "51",

pages = "807--810",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "1",

}

TY - JOUR

T1 - Comparative study of large-scale Laplacian growth patterns

AU - Batchelor, M. T.

AU - Henry, B. I.

AU - Roberts, A. P.

PY - 1995

Y1 - 1995

N2 - We investigate the scaling of cluster size with mass for our simulations of diffusion-limited aggregation (DLA) clusters and dielectric-breakdown (DB) clusters of 106 particles grown on a square lattice, and DLA clusters of 106 particles grown off lattice. We find that the mass distribution and scaling behavior for the on-lattice DB model are intermediate between those for the on-lattice DLA model and the off-lattice DLA model. We take this as evidence that signatures of lattice anisotropy and the microscopic kinetics of attachment are both manifest at large length scales.

AB - We investigate the scaling of cluster size with mass for our simulations of diffusion-limited aggregation (DLA) clusters and dielectric-breakdown (DB) clusters of 106 particles grown on a square lattice, and DLA clusters of 106 particles grown off lattice. We find that the mass distribution and scaling behavior for the on-lattice DB model are intermediate between those for the on-lattice DLA model and the off-lattice DLA model. We take this as evidence that signatures of lattice anisotropy and the microscopic kinetics of attachment are both manifest at large length scales.

UR - http://www.scopus.com/inward/record.url?scp=0012434353&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.51.807

DO - 10.1103/PhysRevE.51.807

M3 - Article

AN - SCOPUS:0012434353

SN - 1063-651X

VL - 51

SP - 807

EP - 810

JO - Physical Review E

JF - Physical Review E

IS - 1

ER -

Comparative study of large-scale Laplacian growth patterns

Abstract

Access to Document

Other files and links

Fingerprint

Cite this