调制不稳定性和共振波模对振子链的亚稳性有影响
Modulational instability and resonant wave modes act on the metastability of oscillator chains
摘要：
我们描述了微正则情形下二维环状振子链中呼吸模和共振波模的出现和相互作用。我们的分析结果确定不同的动力学制度的特点是潜在的主导地位的任何类型的模式。该链最初被置于亚稳态，它可以离开所施加的墨西哥帽状电位的边缘。我们阐明了不同的波模式的平均第一通过时间的影响。一个中心的发现是，也在这个复杂的潜在景观的快速无噪声逃逸的情况下，完全依赖于非线性合作效应是可预测的，即使在低能量设置。
英文摘要：
We describe the emergence and interactions of breather modes and resonant wave modes within a two-dimensional ring-like oscillator chain in a microcanonical situation. Our analytical results identify different dynamical regimes characterized by the potential dominance of either type of mode. The chain is initially placed in a meta-stable state which it can leave by passing over the brim of the applied Mexican-hat-like potential. We elucidate the influence of the different wave modes on the mean-first passage time. A central finding is that also in this complex potential landscape a fast noise-free escape scenario solely relying on nonlinear cooperative effects is accomplishable even in a low energy setting.
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