Elastic properties of diffusion-limited aggregates

Y. Kantor; D. J. Bergman

doi:10.1088/0305-4470/18/14/007

Elastic properties of diffusion-limited aggregates

Y. Kantor^*, D. J. Bergman

^*Corresponding author for this work

ExxonMobil

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

6 Scopus citations

Abstract

A transfer matrix method has been used to investigate the power law dependence of the effective elastic moduli of a two-dimensional diffusion-limited aggregate on the size l of the aggregate. Scaling exponents have been found to depend on the type of applied deformation. For stretching along the direction of growth the elastic modulus scales as l ^-2.2+or-0.2, while for deformations in the direction perpendicular to the direction of growth it is proportional to l^-2.8+or-0.2.

Original language	English
Article number	007
Pages (from-to)	L861-L865
Journal	Journal of Physics A: Mathematical and General
Volume	18
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/18/14/007
State	Published - 1985
Externally published	Yes

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AB - A transfer matrix method has been used to investigate the power law dependence of the effective elastic moduli of a two-dimensional diffusion-limited aggregate on the size l of the aggregate. Scaling exponents have been found to depend on the type of applied deformation. For stretching along the direction of growth the elastic modulus scales as l -2.2+or-0.2, while for deformations in the direction perpendicular to the direction of growth it is proportional to l-2.8+or-0.2.

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Elastic properties of diffusion-limited aggregates

Abstract

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