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Название: Fluctuations of Macro variables in Nonlinear Systems: Langevin Equation Approach
Автор: Ackasu Z.A.
Fluctuations in nonlinear Markovian systems are studied by the Langevin equation method using system-size expansion. Langevin equations with different random sources are constructed for the description of fluctuations to varying degrees of accuracy in inverse powers of the system sizeε Evolution equations for the deterministic path, deviation of the mean from the deterministic path, and the variance are obtained in a nonstationary state in the lowest order ofε. The power spectral density for fluctuations about a stable equilibrium is calculated correct to orderε 2 and is compared to the exact expression for the Alkemade diode. The relaxation frequency for the decay of correlations in a critical equilibrium and the scaling law for the anomalous fluctuations are determined and compared to those obtained by Kuboet al.