Du Luchun, Han Ruoshui, Jiang Jiahao, Guo Wei
Department of Physics, Yunnan University, Kunming 650091, China.
School of Physics Sciences and Engineering, Tongji University, Shanghai 200092, China.
Phys Rev E. 2020 Jul;102(1-1):012149. doi: 10.1103/PhysRevE.102.012149.
We demonstrate the existence of vibrational resonance associated with the presence of an uneven boundary. When the motion of a Brownian particle is confined in a region with an uneven boundary, constrained to a double cavity, a high-frequency signal may produce a peak in the spectral power amplification of the other low-frequency 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 and is termed entropic vibrational resonance (EVR). The EVR can be observed even if the bias force is absent in any direction. Through careful analysis, we clarify two types of mechanisms of the EVR. The one mechanism is ascribed to the transition from a bistable system to a monostable system, and the other corresponds to the match between the escape rate and the natural frequency of the low-frequency signal. Our work merges the vibrational resonance with an uneven boundary, thus extending the scope of the vibrational resonance and shedding new light on the concept of resonance.
我们证明了与不均匀边界的存在相关的振动共振的存在。当布朗粒子的运动被限制在具有不均匀边界的区域中，被限制在双腔中时，高频信号可能会在另一个低频信号的频谱功率放大中产生一个峰值，从而导致振动共振现象的出现。受限边界中的振动共振机制与能量势中的不同，被称为熵振动共振（EVR）。即使在任何方向上都没有偏置力，也可以观察到EVR。通过仔细分析，我们阐明了EVR的两种机制。一种机制归因于从双稳态系统到单稳态系统的转变，另一种机制对应于逃逸率与低频信号固有频率之间的匹配。我们的工作将振动共振与不均匀边界相结合，从而扩展了振动共振的范围，并为共振概念提供了新的见解。
