Computational Physics Applets
Bilingual Chaotic Scattering
- Classical scattering from four (attractive or repulsive)
force centers. See the hypersensitivity of scattering angle to
impact parameter (or view the source code:
The Wave Equation (Hyperbolic PDE)
- eqstring.c, .java:
A string is pulled and released. The initial string shape can
be adjusted with the aid of scroll bars. (Standing wave if plucked
in middle, travel at end.)
A normal mode solution to the wave equation (initial string shape
is a sine wave).
- twopeaks:The solution for two initial peaks.
Heat Flow (Parabolic PDE)
.java: The cooling
of a bar initially at 100 degrees when it its end are set to
The cooling of two bars in contact with different initial temperatures
and ends fixed to 0 degrees.
The cooling of a bar with an initial sine distribution of temperatures
and ends fixed to 0 degrees. Red denotes positive temperatures
and blue negative.
Quantum Wavepackets (Complex PDE)
Wave packet in harmonic oscillaton potential.
.java: Wave packet in infinite
square well. (Eventually becomes chaotic.)
- Asymetric wavepacket.f, .java:
Asymetric wave packet in infinite square well.
Adjustable Wavepacket hitting adjustable barrier.
, .java: Wavepacket
hitting Kronig Penny potential.
Quantum (or Very Simple) Monte Carlo
Feynman path integral calculation (Monte Carlo simulation) of
harmonic oscillator ground state. See the fluctuations in the
classical trajectories as they generate the wave function.
Calculation of area of any shape via Monte Carlo "stone throwing" (basis of vonNeuman rejection).
KdeV Solitons (Non Linear PDE)
- soliton.f, .c, .java
Solitons form as wavefront propagates.
Fractals & Statistical Physics
- sierpin.c, .java:
Sierpinski Gasket. (Watch it grow.)
.java: A fractal tree.(Watch
it grow with an apple and moon.)
.java: A fern fractal.
- film .c,
.java: Bilingual ballistic deposition
of a film onto a surface with determination of fractal dimension.
.java Ballistic deposition
onto a surface with correlated growth. The new deposited particle
attracts other particles.
.java: Diffusion limited agregation.
A particle starts at a random point in a circle, a Gaussian random
walk is generated, and if it finds another particle, it sticks
to it. (Bell rings at center.)
Bilingual General Physics
- Chaotic Scattering
- Young's 2 Slit Interference
- Hertzsprung-Russell Diagram
- Photoelectric Effect
- Lissajous Figures