Percolation points and critical point in the Ising model

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, , Citation A Coniglio et al 1977 J. Phys. A: Math. Gen. 10 205 DOI 10.1088/0305-4470/10/2/010

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1 Istituto de Fisica Teorica, Univ. de Napoli, Napoli, Italy

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0305-4470/10/2/205

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.

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