RELAXATION TIMES AND CORRELATION FUNCTIONS UNDER THE INFLUENCE OF CROSS-CORRELATED COLORED NOISES FOR THE MODEL OF RESONANT TUNNELING

The effects of cross-correlated noises on the process of relaxation of fluctuations in the model of resonant tunneling, in which the noise sources due to incident flow intensity fluctuations and frequency fluctuations are assumed to exist, are considered. To characterize the dynamical behavior of the system, the normalized correlation functions and the associated relaxation times are calculated with the help of a projection-operator technique with regard for memory effects. The influence of noise intensities, their correlation times, and the strength of correlation between the noises on these functions has been analyzed. It is found that the strength of a cross-correlation between two noises can facilitate the intensity fluctuation decay. The behavior of the relaxation time with respect to that of the strength of noises can be characterized as a stochastic resonance phenomenon. It is shown that an enhancement of the self-correlation time of the intensity fluctuations accelerates the transition from the unstable state, while the growth of the self-correlation time of frequency fluctuations results in the retardation of the transition, thereby stabilizing the system.