Fractal and Multifractal Approaches to Clustering Phenomena

Abstract

Recently considerable efforts have been made in understanding the dynamics of non-equilibrium interface growth in the context of a variety of fractal clustering models. Many recent investigations have concentrated on the dynamic scaling properties of interfaces obtained in experiments and in various cluster growth models. Particular attention has been devoted to the scaling properties of the rms interface width. It has been widely believed that many such problems belong to the same universality class as the Kardar-Parisi-Zhang (KPZ) equation. There have recently appeared several experiments on surface growth. Roughening with Power Law Distributed Noise: Recently Zhang suggested that the anomalous roughening found in experiments can be explained by an uncorrelated 'noise' obeying a power-law distribution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1991
Accession Number
ADA249481

Entities

People

  • H. E. Stanley

Organizations

  • Boston University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Chemical Kinetics
  • Chemistry
  • Dry Batteries
  • Dynamics
  • Equations
  • Fluid Mechanics
  • Mechanics
  • Phase
  • Phase Diagrams
  • Phase Transformations
  • Physics
  • Probability
  • Probability Distributions
  • Simulations
  • Statistical Mechanics
  • Stochastic Processes
  • Transitions

Fields of Study

  • Physics

Readers

  • Statistical inference.
  • Theoretical Analysis.
  • Thin Film Deposition Science.