Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.4, pp.457-461

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.4, pp.457-461

Scaling of Parametric Oscillator Fields.
M. Schulz, P. Reineker

We calculate the scaling behaviour of a field of coupled degenerate optical parametric oscillators. The problem can be mapped on the classical evolution of a scalar field with fourth order self-coupling under the influence of an external noise. This allows us to determine the critical exponents and the scaling behavior of such a system close to the transition point to the subharmonic generation.
Key words: scaling, parametrized oscillator, critical behavior

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