非线性物理：分形物理 TABLE I.Values of the correlation exponent A for diffusion-limited aggregation model and other systems. 重要的是幂指数 A Two Three 相关性。 dimensions dimensions Diffusion-limited aggregation: Square lattice,average of six clusters of 对三角点阵有类 2079-3609 particles in size (Fig.2). 0.343±0.004a Triangular lattice,average of three clusters of 1500-2997 particles. 0.327±0.01 似的幂指数结果 Radius of gyration,weighted average of A values inferred for six clusters of 999-3000 particle8,Eq.⑤). 0.299±0.02 Koch curve with A =2D =0.416,measured average correlation function of seven curves. translated and rotated at random. 0.42 ·其它结果总结在 Metal-particle aggregates correlations of particle density from micrographs,Ref.3. 0.32±0.01b 1.320.019 表I中。 Self-avoiding walk (flight), correlations of step density,Ref.6. 0.667 1.33 Percolation,from radius of gyration of clusters at threshold,Eq.(5), C6y）~r0.343趾0.004， Refs.5 and 7. ≈0.2 0.9 Random animals from radius of gyration, Eq.(5),Ref.5. 0.46 1.18非线性物理：分形物理 • 重要的是幂指数 相关性。 • 对三角点阵有类 似的幂指数结果 。 • 其它结果总结在 表 I 中