Percolation on the average and spontaneous magnetization for q-states Potts model on graph
نویسنده
چکیده
We classify infinite networks, by introducing the new problem of percolation on the average. This classification plays a fundamental role for understanding the thermodynamic properties of statistical mechanics spin models with discrete symmetry. Indeed, in the main theorem of the paper, we prove that the qstates Potts model presents spontaneous magnetization at finite temperature if it is defined on a network showing percolation on the average. PACS numbers: 64.60.Ak, 05.50.+q, 02.10.Ox Submitted to: J. Phys. A: Math. Gen.
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