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Dynamics of fluctuations for time-dependent Ginzburg-Landau models are investigated when the system is suddenly brought from a thermodynamically stable state to an unstable state. Because of the growth of fluctuations beyond their thermal level as time goes on, the nonlinear mode coupling term in the stochastic equation begins to play the major role after a certain time tT when the system crosses over from the initial linear regime into the turbulent regime. When the order parameter is notdoi:10.1143/ptp.57.410 fatcat:bqcwm53ibnfhvaesfckunid6zq