Noise-induced switching from a symmetry-protected shallow metastable state
Noise-induced switching from a symmetry-protected shallow metastable state
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DOI：
10.1038/s41598-020-66243-y
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发表时间：
2020-03
影响因子：
4.6
通讯作者：
Y. Tadokoro;Hiroya Tanaka;M. Dykman
中科院分区：
文献类型：
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作者：
Y. Tadokoro;Hiroya Tanaka;M. Dykman
我们考虑从亚稳态的非线性振荡器驱动接近其本征频率的三倍逃逸。该振荡器可以具有三个稳定的周期3振动状态和一个零振幅状态。由于三倍周期的对称性，零振幅态随着驱动的增加而保持稳定。然而，从这个意义上说，从这种状态的逃逸率呈指数级增加，而系统仍然缺乏详细的平衡。我们发现逃逸率，并显示它如何与振荡器和驱动器的参数的规模。这些结果有助于使用纳米力学，约瑟夫森结为基础，和其他介观振动系统的研究，在一个良好的控制设置，在缺乏详细的平衡系统的罕见事件的速率。它们还描述了波动如何自发地打破受驱动振荡器的时间平移对称性。
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.