论文标题
噪声引起的从对称保护的浅稳态状态转换
Noise-induced switching from a symmetry-protected shallow metastable state
论文作者
论文摘要
我们认为从非线性振荡器的亚稳态下逃脱了其特征频率的三倍。振荡器可以具有三个稳定的周期振动状态和零振幅状态。由于周期训练的对称性，随着驾驶的增加，零振幅状态保持稳定。但是，从某种意义上说，从该状态逃脱的速度呈指数增长，而系统仍然缺乏详细的平衡。我们找到了逃生率，并显示了它如何通过振荡器和驾驶参数缩放。结果有助于使用纳米力学，基于Josephson-Junction和其他介观振动系统，以在良好的控制环境中研究，这是缺乏详细平衡的系统中罕见事件的速率。他们还描述了波动如何自发打破驱动振荡器的时间翻译对称性。
We consider escape from a metastable state of a nonlinear oscillator driven close to triple its eigenfrequency. The oscillator can have three stable states of period-3 vibrations and a zero-amplitude state. Because of the symmetry of period-tripling, the zero-amplitude state remains stable as the driving increases. However, it becomes shallow in the sense that the rate of escape from this state exponentially increases, while the system still lacks detailed balance. We find the escape rate and show how it scales with the parameters of the oscillator and the driving. The results facilitate using nanomechanical, Josephson-junction based, and other mesoscopic vibrational systems for studying, in a well-controlled setting, the rates of rare events in systems lacking detailed balance. They also describe how fluctuations spontaneously break the time-translation symmetry of a driven oscillator.
