Dynamical properties of fractal networks: Scaling, numerical simulations, and physical realizations

Journal Article · Fri Apr 01 04:00:00 EST 1994 · Reviews of Modern Physics; (United States)

DOI:https://doi.org/10.1103/RevModPhys.66.381· OSTI ID:7116957

Nakayama, T; Yakubo, K ^[1]; Orbach, R L ^[2]

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1. Department of Applied Physics, Hokkaido University, Sapporo 060 (Japan)
2. Department of Physics, University of California, Riverside, California 92521 (United States)

This article describes the advances that have been made over the past ten years on the problem of fracton excitations in fractal structures. The relevant systems to this subject are so numerous that focus is limited to a specific structure, the percolating network. Recent progress has followed three directions: scaling, numerical simulations, and experiment. In a happy coincidence, large-scale computations, especially those involving array processors, have become possible in recent years. Experimental techniques such as light- and neutron-scattering experiments have also been developed. Together, they form the basis for a review article useful as a guide to understanding these developments and for charting future research directions. In addition, new numerical simulation results for the dynamical properties of diluted antiferromagnets are presented and interpreted in terms of scaling arguments. The authors hope this article will bring the major advances and future issues facing this field into clearer focus, and will stimulate further research on the dynamical properties of random systems.

• OSTI ID: 7116957
• Journal Information: Reviews of Modern Physics; (United States), Journal Name: Reviews of Modern Physics; (United States) Vol. 66:2; ISSN 0034-6861; ISSN RMPHAT
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETISM
COMPUTERIZED SIMULATION
FRACTALS
LIGHT SCATTERING
MAGNETISM
MAGNONS
NETWORK ANALYSIS
PHYSICAL PROPERTIES
QUASI PARTICLES
SCALING LAWS
SCATTERING
SIMULATION
STRUCTURE FACTORS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSPORT THEORY