複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

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Scale invariance or self-similarity at T c After the operation, the left picture Is reduced into this box
A self-similar trajectory lacks characteristic length and time scale. If you do a Fourier analysis, there is no characteristic frequency – the power spectrum () is also a power law: 1 P( f ) ≈ α=2 α f
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Page 3 and 4: What is a complex system ()? 來
Page 7 and 8: Brownian motion random walk Its tr
Page 9 and 10: Let us do some statistics: Although
Page 11 and 12: Power laws 數律 When two physi
Page 13 and 14: Dimension D ( 度 ) Two ways to def
Page 15 and 16: Sierpinski gasket is a fractal that
Page 17 and 18: l = (1/2) n =2 -n N = 3 n we want t
Page 19 and 20: Koch curve () Exercise: Can you sho
Page 21 and 22: Self-similarity 切 Sierpinski g
Page 23 and 24: : Now you’ve learnt self-similari
Page 25 and 26: Steady diffusion Current through an
Page 27 and 28: If some sea animal is fed by taking
Page 29 and 30: Phase transitions Critical tempera
Page 31: Lattice-gas model of phase transiti
Page 35 and 36: Outline of talk • What is complex
Page 37 and 38: Sandpile as a paradigm of SOC Bak &
Page 48 and 49: Gutenberg-Richter law for earthquak
Page 50 and 51: Slip-size distribution in earthquak
Page 54 and 55: Locomotion and the water-repellent
Page 56 and 57: Focus on the legs • Short front l
Page 58 and 59: 1. Structure of legs Water dropet o
Page 60 and 61: Legs filled with air
Page 62 and 63: Hu et al videotaped striders at 500
Page 64 and 65: Robo-strider 1 cm
Page 66 and 67: Ancient “water striders” Excerp
Page 68: Conclusion Main Ideas we want to ge

複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

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