论文标题
动态复杂网络模型的湍流级联
Dynamical Complex Network Models of the Turbulent Cascade
论文作者
论文摘要
提出了基于动态复杂网络的级联模型作为湍流能量级联的模型。以简单的外壳模型为仅具有最近邻居相互作用的初始常规晶格，小型世界网络模型是通过添加或替换非局部相互作用的某些现有局部交互来构建的。然后，随着时间的推移，模型会随着时间的流逝而进化，既可以使用壳模型演化的任意网络概括来求解壳变量，并每次以常规时间间隔从原始晶格重新布线。这会导致更间歇性的时间演变，并且波数光谱的变化较大。这也导致从这些模型计算的结构函数的拟合指数计算得出的间歇性实际增加。看来，随机非局部连接与局部最近邻居连接的比率增加。
Cascade models based on dynamical complex networks are proposed as models of turbulent energy cascade. Taking a simple shell model as the initial regular lattice with only nearest neighbor interactions, small world network models are constructed by adding or replacing some of the existing local interactions by nonlocal ones. The models are then evolved over time, both by solving for the shell variable for velocity using an arbitrary network generalization of the shell model evolution and by rewiring the network each time from the original lattice in regular time intervals. This results in a more intermittent time evolution with larger variations of the wave-number spectrum. It also results in an actual increase in intermittency as computed from the fitted exponents of structure functions as computed from these models. It appears that the intermittency increases as the ratio of random nonlocal connections to local nearest neighbor connections increases.
