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

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Approach: simplify the problem as much as possible— one step from being trivial. Try to capture the essential physics, then test the results against real, complex situations.
Simulating cracks: a spring-block model { i x i , y } stick-slip kH force F i > F slip Fi = 0 local equilibrium cracking slippings tension τ > F crack crackings … τ = 0
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 38 and 39: Outline of talk • What is complex
Page 47 and 48: Gutenberg-Richter law for earthquak
Page 49 and 50: Slip-size distribution in earthquak
Page 51 and 52: The scales of cracks monolayer of m
Page 53 and 54: In presence of dissipation (e.g. fr
Page 55 and 56: σ xx Stress field Crack path A cr
Page 57: Length scale fragment area without
Page 61 and 62: Simulation using spring-block model
Page 63 and 64: Simulation using spring-block model
Page 65 and 66: Current research reported in first-
Page 67 and 68: Excerpt from Microcosmos -- Claude
Page 69 and 70: Two recent papers address those pro
Page 71 and 72: Looking closely •SEM scans reveal
Page 73 and 74: 2. Mechanism of locomotion To move,
Page 75 and 76: The balance of momenta For dipolar
Page 77 and 78: How about other creatures? All rely
Page 79 and 80: What do we learn from the water str
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複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

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