Uniform treatment of fluctuations at critical points

Marc Mangel

Physica A: Statistical Mechanics and its Applications, 1979, vol. 97, issue 3, 597-615

Abstract: A generalized critical point is characterized by the vanishing of certain linear relationships. In particular, the dynamics near such a point are non-linear. In this paper, we study fluctuations at such points of spatially homogeneous systems. We discuss thermodynamic critical points as a special case; but the main emphasis is on stochastic kinetic equations. We show that fluctuations at a critical point cannot be characterized by a Gaussian density, but more complicated densities can be used. The theory is applied to the critical harmonic oscillator.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:97:y:1979:i:3:p:597-615

DOI: 10.1016/0378-4371(79)90099-2

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