Ising model simulation

This is a demonstration of a nearest-neighbor interacting particle system simulating the Ising model for magnetization. Lower temperatures (that is, larger values of the inverse temperature) correspond to stronger nearest-neighbor interactions. For low temperatures, the system exhibits spontaneous magnetization, that is, the spins tend to align with one another. In this example, the boundary spins are fixed to positive, so spontaneous magnetization leads eventually to all positive spins.

The spins (except for the fixed boundary) are intitially set randomly to plus or minus. With an initial inverse temperature of 0.2, spontaneous magnetization does not occur. If the inverse temperature is changed, for example, to 1.0 and the system reset, spontaneous magnetization will be observed.

This demonstration works best in Google Chrome as there are some formatting issues with Mozilla Firefox.

Inverse temperature:

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