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

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Self-Organized Criticality (SOC) 臨列率列率都率流亮度數樂量理便理論理 Per Bak1987 年參數數律臨 (self-organized criticality) 更 (sandpile model) 來念
Sandpile as a paradigm of SOC Bak & Chen, Sc. Am. 1991 • “Self-organized” means systems reaching critical states without tuning. • “Critical”: at critical slope (“angle of repose”), no characteristic avalanche size exists. It covers all possible values with power-law distribution P(s)~s -b .
Page 1 and 2: Introduction to Complex Systems
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 and 32: Lattice-gas model of phase transiti
Page 33 and 34: A self-similar trajectory lacks cha
Page 35: Outline of talk • What is complex
Page 39 and 40: Outline of talk • What is complex
Page 48 and 49: Gutenberg-Richter law for earthquak
Page 50 and 51: Slip-size distribution in earthquak
Page 52 and 53: Outline of talk • What is complex
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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