Random Processes, Turbulence and Disordering Fields

Abstract

There are many classical, nonlinear systems exhibiting some kind of chaotic behavior. Examples include the turbulent flow of a fluid, usually described by means of the Navier-Stokes equations, and the behavior of liquids, gases or antiferromagnets above the critical point, etc. In this paper, we reexamine and further develop and approach to the description of such systems. The statistical theory of random process is cast into a Lagrangian form. The formalism requires the existence of an arbitrarily weak random stirring force, playing the role of a disordering field. In scale invariant systems the coupling strength of the weak stirring force can be scaled out and it disappears from the theory. Keywords: Stochastic systems; Fluctuations; Inverse powers.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA190123

Entities

People

  • C. K. Zoltani
  • G. Domokos
  • S. Kovesi-domokos

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Engineering
  • Equations
  • Flow
  • Fluid Flow
  • Jet Propulsion
  • Mechanics
  • Military Research
  • Mixing
  • Munitions
  • Path Integrals
  • Physical Theories
  • Physics
  • Physics Laboratories
  • Quantum Field Theory
  • Reynolds Number
  • Turbulent Flow

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.