Computer Exercises

• Introductory exercises
  • Random Text Generation
  • Prime numbers
• Networks
  • Small World Networks
  • Percolation
• Dynamics and Locomotion
  • Pendulum
  • Walker
  • Molecular Dynamics
• Maps and Dynamical Systems
  • Chaos and Lyapunov Exponents
  • Invariant Measures
  • Fractal Dimensions
  • Period Doubling Routes to Chaos
• Biology
  • Stochastic Cells
  • The Repressilator
  • Cardiac Dynamics
• Computational Complexity
  • NP Completeness and Logical Satisfiability
  • A fair split? Number partitioning
• Randomness
  • Stocks, Volatility, and Diversification
  • Generating Random Walks
  • Biggest of Bunch: Gumbel distribution and extremal statistics
  • Random Matrix Theory
  • The Ising Model
• Other
  • Hysteresis
  • Self-Avoiding Random Walks
  • Hysteresis and Avalanches simulation
  • Jupiter! The Three Body Problem (code links under "How to Get Jupiter")

Links

• Book Web Page
• Lecture notes for computational modules
• Computer exercise difficulties
• Python Software Answers and Demos tgz (Linux) and zip (Windows); Auto-unpack (Linux)
• Python setup info

Last modified: March 26, 2006

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).