## "Perfect" simulation of the continuum Ising model

The model consists of point particles of two types with soft-core intertype repulsion. There are two parameters: z > 0, the activity, which governs the particle density, and ß > 0, the inverse temperature.

The simulations use a Propp-Wilson-variant of a Gibbs sampler.

For more mathematical background see Section 4.4 of this
paper (ps-file) .

### Download
of a Macintosh application

(for system requirements and description click
here)

## Some pictures:

The repulsive intertype potential is J(x-y)= (1-|x-y|)^2 for
|x-y|<=1.

The linear size of the window is
L= 20 .

Outside of the window is a boundary condition consisting of a
Poisson crowd of white particles.

#### Subcritical case

z = 4, ß = 3 : particle picture /
random cluster representation
#### Supercritical case

z = 4.5, ß = 3 : particle picture /
random cluster representation

z = 4, ß = 4 : particle picture / random cluster representation

Link
to David Wilson's webpage on perfect simulation