富勒烯结构形成的动力学：混沌中的有序现象
The Dynamics of Fullerene Structure Formation : Order out of Chaos Phenomenon
摘要：
C60分子在与强烈加热和湍流（例如电弧或火焰）相关的碳蒸发期间自发形成。在高度湍流（混沌）雾化的碳蒸气中的波动的自组织似乎导致C60的稳定结构的形成，因此可以被可视化为混沌现象中的秩序。C60的几何形状，即自相似准周期彭罗斯镶嵌图案意味着长程时空相关性。这种时空非局部联系在自然界的动力系统中普遍存在，最近被认为是自组织临界性的标志。本文总结了作者提出的湍流的细胞动力学系统模型，并指出所观察到的准周期Penrose平铺图案是控制流体动力学的类量子力学的一个特征。
英文摘要：
C60 molecules form spontaneously during vaporization of carbon associated with intense heating and turbulence such as in electrical arcs or flames. Self-organization of fluctuations in the highly turbulent (chaotic) atomized carbon vapor appears to result in the formation of the stable structure of C60 and therefore may be visualized as order out of chaos phenomenon. The geometry of C60, namely, the self-similar quasiperiodic Penrose tiling pattern implies long-range spatiotemporal correlations. Such non-local connections in space and time are ubiquitous to dynamical systems in nature and is recently identified as signatures of self-organized criticality . A cell dynamical system model for turbulent fluid flows developed by the author is summarized and it is shown that the observed quasiperiodic Penrose tiling pattern is a signature of quantum-like mechanics governing flow dynamics.
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