Scaling Behavior of Turbulent Oscillators with Non-Local Interaction
Scaling Behavior of Turbulent Oscillators with Non-Local Interaction
复制标题
非局部相互作用的湍流振子的标度行为
DOI：
10.1143/ptp.94.321
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发表时间：
1995
影响因子：
--
通讯作者：
Y. Kuramoto
中科院分区：
文献类型：
--
作者：
Y. Kuramoto
提出了一类一般的模型，用于生物振荡细胞群体分泌物质，其快速扩散介导细胞-细胞相互作用。在一定条件下，这些模型被简化为金兹堡-朗道型非局部耦合振子系统。最后对一维湍流模型进行了数值分析，揭示了湍流产生的一些显著特征。特别是，相关性和波动遵循类似于完全发展的Navier-Stokes湍流中的幂律，只是我们的指数随耦合强度连续变化。
A general class of models is proposed for populations of biologically oscillating cells secreting substance whose rapid diffusion mediates the cell-cell interaction. Under certain conditions, such models are reduced to a system of non-locally coupled oscillators of the Ginzburg-Landau type. The last model in space dimension one is analyzed numerically, and some remarkable features of the turbulence generated are revealed. In particular, the correlations and fluctuations obey a power law similar to the one in the fully-devleoped Navier-Stokes turbulence except that our exponents change continuously with the coupling strength.