Rigorous inequalities are proved, which relate percolation probability, mean cluster size and pair connectedness respectively with magnetization, susceptibility and pair correlation function in ferromagnetic Ising models. In two dimensions the critical point is shown to be a percolation point, while in three dimensions this is not true.
Percolation points and critical point in the Ising model / A., Coniglio; C. R., Nappi; Peruggi, Fulvio; L., Russo. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 10:2(1977), pp. 205-218. [10.1088/0305-4470/10/2/010]
Percolation points and critical point in the Ising model
PERUGGI, FULVIO;
1977
Abstract
Rigorous inequalities are proved, which relate percolation probability, mean cluster size and pair connectedness respectively with magnetization, susceptibility and pair correlation function in ferromagnetic Ising models. In two dimensions the critical point is shown to be a percolation point, while in three dimensions this is not true.File in questo prodotto:
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