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

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Gutenberg-Richter law for earthquake magnitude N(>m) per yr Cumulative distribut’n Data from sesmicity catalog 1973-1997 Slope 1.62 (compared to 1.8 of model) Earthquake magnitude m
Page 1 and 2: Introduction to Complex Systems
Page 3 and 4: What is a complex system ()? 來
Page 8 and 9: The random walker’s trajectory ()
Page 10 and 11: 律 = 了 t 度 x 2 ≈ C t Still
Page 12 and 13: Power laws 數律 When two physi
Page 14 and 15: Fractal dimension 度 fractal B. M
Page 16 and 17: Sierpinski gasket l is the stick le
Page 18 and 19: Koch curve () Exercise: Can you sho
Page 20 and 21: Self-similarity cut Blow up Sierpi
Page 22 and 23: A practical example of self-similar
Page 24 and 25: Steady diffusion absorber ρ=0 R Cu
Page 26 and 27: If some sea animal is fed by taking
Page 28 and 29: Phase transitions Critical tempera
Page 30 and 31: Lattice-gas model of phase transiti
Page 32 and 33: A self-similar trajectory lacks cha
Page 34 and 35: Outline of talk • What is complex
Page 36 and 37: Sandpile as a paradigm of SOC Bak &
Page 48 and 49: self-organized critical earthquake
Page 52 and 53: monolayer of polystyrene spheres (
Page 54 and 55: What happens at crack tips? σ 0 σ
Page 56 and 57: Inexpensive experiments • coffee-
Page 58 and 59: Approach: simplify the problem as m
Page 60 and 61: Some typical evolution of cracks by
Page 62 and 63: Simulation using spring-block model
Page 64 and 65: 理 (Biology-Inspired Physics )
Page 66 and 67: Locomotion and the water-repellent
Page 68 and 69: Focus on the legs • Short front l
Page 70 and 71: 1. Structure of legs Water dropet o
Page 72 and 73: Legs filled with air
Page 74 and 75: Hu et al videotaped striders at 500
Page 76 and 77: Robo-strider 1 cm
Page 78 and 79: Ancient “water striders” Excerp
Page 80: 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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