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Solution of the Ising model

TODO what it means to solve an Ising model in general?

stanford.edu/~jeffjar/statmech/lec4.html gives some good notions:

$< σ_{i} >$ is the expectation value of the value. It is therefore a number between -1.0 an and 1.0, -1.0 means everything is always down, 0.0 means half up half down, and 1.0 means all up
$< σ_{i} σ_{j} >$ : correlation between neighboring states. TODO.

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