Uniform Treatment of Fluctuations at Critical Points.

Abstract

A generalized critical point is characterized by the vanishing of certain linear relationships. In particular, the dynamics near such a point are completely nonlinear. This paper analyzes fluctuations at such points of spatially homogeneous systems. Thermodynamic critical points are discussed as a special case; but the main emphasis is on stochastic kinetic equations. Fluctuations at a critical point cannot be characterized by a Gaussian density, but more sophisticated densities yield reasonable results. The theory is applied to the critical harmonic oscillator.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA058539

Entities

People

  • Marc Mangel

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Diffusion
  • Equations
  • Fokker Planck Equations
  • Integrals
  • Liouville Equation
  • Mechanics
  • Nonlinear Dynamics
  • Partial Differential Equations
  • Physical Chemistry
  • Physics
  • Probability
  • Random Variables
  • Standards
  • Steady State
  • Trajectories

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis