Entropic stochastic resonance induced by a transverse driving force

Abstract

The phenomenon of entropic stochastic resonance (ESR) is investigated with the presence of a time-periodic force in the transverse direction. Simulation results manifest that the ESR can survive even if there is no static bias force in any direction, just if a transverse driving field is applied. In the weak noise region, the transverse driving force leads to a giant-suppression of the escape rate from one well to another, i.e. the entropic trapping. The increase in noise intensity will eliminate this suppression and induce the ESR phenomenon. An alternative quantity, called the mean free flying time, is also proposed to characterize the ESR as well as the conventional spectral power amplification. The ESR can be modulated conveniently by the transverse periodic force, which implies an alternative method for controlling the dynamics of small-scale systems. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

Vibrational and stochastic resonances in driven nonlinear systems: part 2

“…While a few articles in part 1 presented analysis on position-dependent mass systems [ 21 ], delayed feedback-induced resonances in deformable potential system [ 22 ] and Duffing oscillator [ 23 ], and driven two-level quantum systems [ 24 ], part 2 assembles state-of-the-art, original contributions on VR and SR in some systems not covered by part 1. These include a Brownian particle confined in a structural cavity [ 25 , 26 ], coupled neuron-astrocyte [ 27 ] systems and neural networks [ 28 , 29 ]. Part 2 also presents articles in four application domains: image perception [ 6 ], energy harvesting [ 8 ], control of aerodynamic instability [ 12 ], and vibrational machines and devices [ 30 ].…”

“… Characterizing stochastic resonance in a triple cavity, by Mei et al [ 26 ]. Entropic stochastic resonance induced by a transverse driving force, by Du et al [ 25 ]. On some applications of vibrational resonance on image perception: the role of the perturbation parameters, by Morfu et al [ 6 ].…”

“…Also on the topic of systems in confined channels, Du et al [ 25 ] propose an alternative approach for controlling the dynamics of small-scale systems via entropic stochastic resonance (ESR). They report their investigations into the response of a Brownian particle moving within a dumbbell-shaped confinement, and driven by transverse driving force while preserving the system’s symmetry.…”

“…The preservation of the system’s symmetry is in contrast with earlier studies of ESR in double cavities and in the absence of transverse periodic or static forcing [ 32 , 33 ]. Du et al [ 25 ] emphasize that, when the boundary variations at the bottleneck are continuous, the transverse driving field induces entropy in the weak noise region, whereas high noise intensity eliminates the entropy trapping, leading to ESR. Furthermore, they show that ESR can conveniently be modulated by the transverse periodic force, thereby providing an alternative means for effective control of the dynamics of small-scale systems [ 32 , 33 ].…”

“…In a very recent paper, Du et al [ 34 ] demonstrated, numerically and theoretically, the existence of VR for Brownian particles confined within an uneven boundary. The results in [ 25 , 26 , 34 ] coupled with the current burst of research activity on the dynamics of particles in confined channels clearly open new directions for investigating VR in confined structures.…”