Diffusion-limited aggregation with Eden growth surface kinetics

M. T. Batchelor; B. I. Henry

doi:10.1016/0378-4371(94)90015-9

Diffusion-limited aggregation with Eden growth surface kinetics

M. T. Batchelor^*, B. I. Henry

^*Corresponding author for this work

Mathematical Sciences Institute

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

9 Citations (Scopus)

Abstract

The diffusion-limited aggregation (DLA) model has been generalized to include homogeneous Eden growth surface kinetics. On-lattice simulations are compared with theory in the deterministic zero-noise limit. As the cluster grows, for a fixed value of the surface kinetics parameter Γ, there is a crossover from compact Eden growth to dendritic DLA growth. Larger Eden clusters are obtained at larger values of Γ. A theoretical analysis based on conformal mapping techniques provides a good description of this behaviour.

Original language	English
Pages (from-to)	566-582
Number of pages	17
Journal	Physica A: Statistical Mechanics and its Applications
Volume	203
Issue number	3-4
DOIs	https://doi.org/10.1016/0378-4371(94)90015-9
Publication status	Published - 15 Mar 1994

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title = "Diffusion-limited aggregation with Eden growth surface kinetics",

abstract = "The diffusion-limited aggregation (DLA) model has been generalized to include homogeneous Eden growth surface kinetics. On-lattice simulations are compared with theory in the deterministic zero-noise limit. As the cluster grows, for a fixed value of the surface kinetics parameter Γ, there is a crossover from compact Eden growth to dendritic DLA growth. Larger Eden clusters are obtained at larger values of Γ. A theoretical analysis based on conformal mapping techniques provides a good description of this behaviour.",

author = "Batchelor, \{M. T.\} and Henry, \{B. I.\}",

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AU - Batchelor, M. T.

AU - Henry, B. I.

PY - 1994/3/15

Y1 - 1994/3/15

N2 - The diffusion-limited aggregation (DLA) model has been generalized to include homogeneous Eden growth surface kinetics. On-lattice simulations are compared with theory in the deterministic zero-noise limit. As the cluster grows, for a fixed value of the surface kinetics parameter Γ, there is a crossover from compact Eden growth to dendritic DLA growth. Larger Eden clusters are obtained at larger values of Γ. A theoretical analysis based on conformal mapping techniques provides a good description of this behaviour.

AB - The diffusion-limited aggregation (DLA) model has been generalized to include homogeneous Eden growth surface kinetics. On-lattice simulations are compared with theory in the deterministic zero-noise limit. As the cluster grows, for a fixed value of the surface kinetics parameter Γ, there is a crossover from compact Eden growth to dendritic DLA growth. Larger Eden clusters are obtained at larger values of Γ. A theoretical analysis based on conformal mapping techniques provides a good description of this behaviour.

UR - https://www.scopus.com/pages/publications/3142598738

U2 - 10.1016/0378-4371(94)90015-9

DO - 10.1016/0378-4371(94)90015-9

M3 - Article

AN - SCOPUS:3142598738

SN - 0378-4371

VL - 203

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EP - 582

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -

Diffusion-limited aggregation with Eden growth surface kinetics

Abstract

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