Dynamical behavior of fractal structures

Itzhak Webman; Gary S. Grest

doi:10.1103/PhysRevB.31.1689

Dynamical behavior of fractal structures

Itzhak Webman
, Gary S. Grest

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

76 Scopus citations

Abstract

We present a scaling theory for the vibrational properties of tenuous fractal objects and a numerical calculation of the density of states for percolation clusters and diffusion-limited aggregates. A microscopic elastic Hamiltonian is used, which contains bending energy terms and properly describes the elasticity of such structures. We find that the density of states is weakly divergent at low frequencies implying that fractal aggregates relax to a new configuration beyond a critical size. © 1985 The American Physical Society.

Original language	English
Pages (from-to)	1689-1692
Number of pages	4
Journal	Physical Review B
Volume	31
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.31.1689
State	Published - Jan 1 1985
Externally published	Yes

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title = "Dynamical behavior of fractal structures",

abstract = "We present a scaling theory for the vibrational properties of tenuous fractal objects and a numerical calculation of the density of states for percolation clusters and diffusion-limited aggregates. A microscopic elastic Hamiltonian is used, which contains bending energy terms and properly describes the elasticity of such structures. We find that the density of states is weakly divergent at low frequencies implying that fractal aggregates relax to a new configuration beyond a critical size. {\textcopyright} 1985 The American Physical Society.",

author = "Itzhak Webman and Grest, \{Gary S.\}",

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doi = "10.1103/PhysRevB.31.1689",

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AU - Webman, Itzhak

AU - Grest, Gary S.

PY - 1985/1/1

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N2 - We present a scaling theory for the vibrational properties of tenuous fractal objects and a numerical calculation of the density of states for percolation clusters and diffusion-limited aggregates. A microscopic elastic Hamiltonian is used, which contains bending energy terms and properly describes the elasticity of such structures. We find that the density of states is weakly divergent at low frequencies implying that fractal aggregates relax to a new configuration beyond a critical size. © 1985 The American Physical Society.

AB - We present a scaling theory for the vibrational properties of tenuous fractal objects and a numerical calculation of the density of states for percolation clusters and diffusion-limited aggregates. A microscopic elastic Hamiltonian is used, which contains bending energy terms and properly describes the elasticity of such structures. We find that the density of states is weakly divergent at low frequencies implying that fractal aggregates relax to a new configuration beyond a critical size. © 1985 The American Physical Society.

UR - https://www.scopus.com/pages/publications/0001187056

U2 - 10.1103/PhysRevB.31.1689

DO - 10.1103/PhysRevB.31.1689

M3 - Article

SN - 0163-1829

VL - 31

SP - 1689

EP - 1692

JO - Physical Review B

JF - Physical Review B

IS - 3

ER -

Dynamical behavior of fractal structures

Abstract

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