The Research Of Vibrational Resonance In Constrained Boundaries

In this paper,the entropic vibrational resonance phenomenon under the contribution of irregular boundaries is studied.First,the background and research status of stochastic resonance and vibrational resonance are briefly introduced.Second,we thoroughly studied the influence of various parameters of the system on the entropy vibration resonance phenomenon,and analyzed the physical mechanism behind it,and achieved a series of research results.We demonstrate the existence of vibrational resonance associated with the presence of an irregular boundary.When the motion of a Brownian particle is contned in a region with uneven boundary,constrained to a double-cavity,a time-periodic signal may give rise to a peak in the spectral power amplification of another signal and therefore to the appearance of the vibrational resonance phenomenon.The mechanism of vibrational resonance in constrained boundaries is different from that in energetic potentials.This phenomenon is caused by the entropic barrier attributed to the entropy change of the system and is termed as entropic vibrational resonance(EVR).The entropic vibrational resonance can be observed even if the bias force is absent in any direction,while it is essential in stochastic resonance.It shows that the entropic vibrational resonance phenomenon may be a more common characteristic of small-scale systems.This paper studies entropy vibration resonance through three methods,numerical calculation,numerical simulation and separation of fast and slow variables.Through careful analysis,we clarify two types of mechanisms of entropic vibrational resonance.The first mechanism is ascribed to the transition from a bistable system to a monostable system,and the second mechanism corresponds to the match between the Kramers rate and the driving frequency of the weak signal.The EVR may constitute an alternative tool to control the dynamics of small-scale systems.