Uniform Treatment of Fluctuations at Critical Points.

摘要

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.