Concerning the Noise Strength in Periodically Driven Pattern Convection
In this paper we consider the influence of color noise on periodically driven pattern formation. The issue of the huge noise strength necessary to fit the experimental data, in periodically driven Rayleigh-Béenard convection, is studied by introducing a non-Markovian amplitude equation. Projector operator techniques are used to eliminate the fast variables, thus in first approximation an analytic expression for the order-disorder transition line is obtained. The fit with experiment is shown to be satisfactory (for a realistic thermal noise strength) provided the Langevin term has a correlation time tc of the order 1/w.
KeywordsNusselt Number Rayleigh Number Fast Variable Amplitude Equation Noise Strength
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