Ising model: Difference between revisions
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to be continued: | to be continued: | ||
* Ising in 1-d (exact solution) | == Ising Model (1d) == | ||
* [[Ising Model 1d|Ising in 1-d]] (exact solution) | |||
== Other topics == | |||
* Usual lattices in 2d: Critical behavior | * Usual lattices in 2d: Critical behavior | ||
Revision as of 11:20, 23 February 2007
Ising Model
The Ising model is commonly defined over an ordered lattice. Each site of the lattice can adopt two states: either UP (S=+1) or DOWN (S=-1).
The energy of the system is the sum of pair interactions between nearest neighbors.
where indicates that the sum is done over nearest neighbors, and indicates the state of the i-th site.
is called the Coupling constant.
to be continued:
Ising Model (1d)
- Ising in 1-d (exact solution)
Other topics
- Usual lattices in 2d: Critical behavior
- Lattices in 3-d
- Ferromagnetic and antiferromagnetic couplings
- Frustration, etc
- Simulation procedures
- Theoretical methods