Zhuang GuoCe, Wang Jun, Shi Yi, Wang Wei
National Laboratory of Solid State Microstructure and Department of Physics, Nanjing University, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Oct;66(4 Pt 2):046201. doi: 10.1103/PhysRevE.66.046201. Epub 2002 Oct 1.
Due to a diffusive nearest-neighbor coupling, phase-synchronized states can emerge in two-dimensional chaotic coupled map lattices. By defining a direction phase (like a spin with up or down direction) as the direction of two sequential iterations of the logistic map, we find several novel kinds of phase synchronization which correspond to four different regions in a phase diagram. For the phase with partial phase synchronization, as the coupling strength epsilon increases to a critical threshold epsilon(c), a percolationlike transition is found in the cluster feature of the direction phases relating to the pattern formation. In addition, a scaling of the percolation probability rho approximately (epsilon-epsilon(c))(beta) with beta=2.1 is obtained. The spatial and time correlation functions of the phase clusters are also discussed.
由于扩散型最近邻耦合，二维混沌耦合映射格子中会出现相位同步状态。通过将方向相位（如具有向上或向下方向的自旋）定义为逻辑斯谛映射两次连续迭代的方向，我们发现了几种新型的相位同步，它们对应于相图中的四个不同区域。对于部分相位同步的相位，随着耦合强度ε增加到临界阈值ε(c)，在与图案形成相关的方向相位的簇特征中发现了类似渗流的转变。此外，得到了渗流概率ρ近似为(ε - ε(c))(β)且β = 2.1的标度关系。还讨论了相位簇的空间和时间关联函数。
