Accession Number:

ADA058539

Title:

Uniform Treatment of Fluctuations at Critical Points.

Descriptive Note:

Professional paper,

Corporate Author:

CENTER FOR NAVAL ANALYSES ARLINGTON VA

Personal Author(s):

Report Date:

1978-05-01

Pagination or Media Count:

56.0

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.

Subject Categories:

  • Statistics and Probability
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE