Hands-on Lab

Unix

• Getting Started With Linux
• UNIX Tutorial

Matlab

$\exp -1={\frac {1}{e}}$

Hands-on tutorials by Instructor

• Getting Started
• Fast Fourier Transform
• Sparse Matrices

Hands-on tutorials by MathWorks

• MATLAB Student Center

LaTeX

Templates

• PHYS660 template and the embedded EPS figure
• Math into LaTeX: How to Beautify Equations (and the embedded PDF figure)
• REVTEX4 template (apssamp.tex)

Manuals

• Getting to Grips with LaTeX
• Latex Commands Reference
• REVTEX4 Authors' Guide
• How to use BibTeX
• PACS Codes

LaTeX packages

• MikTeX (free LaTeX implementation for Windows)
• Texmaker (free TeX Editor for Windows, Linux, or MacOsX)

Java Applets

Dissipative Chaos

• Chaos in Driven Pendulum
• Poincare Section of Driven Pendulum
• Duffing Equation Attractor (Real Space)
• Lorentz Attractor
• Strange Attractors
• Hamiltonian Chaos

Chaos in Three-Body Problems

• Poincare Section of Double Pendulum
• Extensible Pendulum
• Standard Area Preserving Map

Transient Chaos

• Chaotic Scattering

Fractals

• Fractal Coastlines
• Diffusion Limited Aggregation
• Mandelbrot Set
• Julia Set

Nonlinear Physics and Solitons

• Toda Lattice Soliton
• KdV Solitons
• FPU paradox in Coupled Pendulums

Fourier Techniques

• Normal Modes of Coupled Oscillators: a) Three, b) Many, c) Phonons in Solids
• Fourier Series
• Fourier Transform
• Discrete-time Fourier Transform
• Fourier Syntesis
• Convolution and Autocorrelation

Statistical Physics

• Brownian Motion
• Random Walk in 1D
• Random Walk in 2D
• Self-Avoiding Random Walk
• Monte Carlo Estimatation for Pi
• Percolation
• Ising Model Java Applet

Quantum Mechanics

• The two slit experiment and the collapse of the wavefunction
• Detector in two slit experiment
• Quantum Scattering of Wave Packet
• Visual Quantum Mechanics
• Quantum Mechanics Applets

Complex Systems

• Cellular Automata
• Game of Life
• BTW Sandpile: A model of Self-Organized Criticality
• 3D BTW Sandpile Simulation by UD student John Meyer
• Forest Fire: A model of Self-Organized Criticality
• Spin Glasses
• Hopfield Neural Network
• Neural Networks with Java
• Self-Organizing Networks
• Image Compression by Neural Networks
• Genetic Algorithms