We present the noise free escape of a chain of linearly interacting units from a metastable state over a cubic on-site potential barrier. The underlying dynamics is conservative and purely deterministic. The mutual interplay between nonlinearity and harmonic interactions causes an initially uniform lattice state to become unstable, leading to an energy redistribution with strong localization. As a result a spontaneously emerging localized mode grows into a critical nucleus. By surpassing this transition state, the nonlinear chain manages a self-organized, deterministic barrier crossing. Most strikingly, these noise-free, collective nonlinear escape events proceed generally by far faster than transitions assisted by thermal noise when the ratio between the average energy supplied per unit in the chain and the potential barrier energy assumes small values.
Comment on "Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States"
De la Cruz等人[Phys. Rev. Lett. 120，128102（2018）; arXiv：1705.08683]研究了在经历出生和死亡类型反应的振荡随机种群中噪声诱导的转变。他们应用Freidlin-Wentzell WKB形式主义来确定从确定性理论预测的极限环中逃逸的最可能路径，并找到逃逸时间的概率分布。在这里，我们对他们的计算提出了一些反对意见。
Fundamental interactions in self-organized critical dynamics on higher-order networks
Jožef Stefan Institute（约瑟夫·斯特凡研究所）；Complexity Science Hub（复杂性科学中心）；Wilfrid Laurier University（威尔弗里德·劳里埃大学）；BCAM - Basque Center for Applied Mathematics（巴斯克应用数学中心）
Soochow University（苏州大学）；Department of Physics, Technion – Israel Institute of Technology（以色列理工学院物理系）；Department of Physics, Massachusetts Institute of Technology（麻省理工学院物理系）
