The relaxation properties of a one-dimensional overdamped system modulated by an external periodic force are studied analytically by means of a perturbation approach. The validity of the ap- proximations introduced is discussed in detail. The nonstationary nature of the process is illustrat- ed by evaluating explicitly the autocorrelation function for the relaxation in a bistable potential. The predictions thus obtained are shown to compare favorably with the results of analogue simula- tion for the case of a quartic double-well potential. The stochastic resonance mechanism is proven to set in only when the periodic perturbation breaks the symmetry of the bistable potential.
PERIODICALLY TIME-MODULATED BISTABLE SYSTEMS - NONSTATIONARY STATISTICAL PROPERTIES / Presilla, Carlo; Marchesoni, F; Gammaitoni, L.. - In: PHYSICAL REVIEW A, GENERAL PHYSICS. - ISSN 0556-2791. - 40:(1989), pp. 2105-2113. [10.1103/PhysRevA.40.2105]
PERIODICALLY TIME-MODULATED BISTABLE SYSTEMS - NONSTATIONARY STATISTICAL PROPERTIES
PRESILLA, Carlo;
1989
Abstract
The relaxation properties of a one-dimensional overdamped system modulated by an external periodic force are studied analytically by means of a perturbation approach. The validity of the ap- proximations introduced is discussed in detail. The nonstationary nature of the process is illustrat- ed by evaluating explicitly the autocorrelation function for the relaxation in a bistable potential. The predictions thus obtained are shown to compare favorably with the results of analogue simula- tion for the case of a quartic double-well potential. The stochastic resonance mechanism is proven to set in only when the periodic perturbation breaks the symmetry of the bistable potential.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
