Basic statistical models
نویسنده
چکیده
1 Definition and the basic properties The Ising model (IM) was invented by Lenz. His student Ising has found the partition function of the 1d model and tried to solve 2d model but failed. The exact solution of 2d model was found by Onsager in 1942-1944. It is one of the fundamental results in statistical physics. The IM consist of spins σ x = ±1 ascribed to sites of a lattice x. The energy of the spin configuration is determined by the sum:
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