Percolation points and critical point in the Ising model
- 1 February 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (2), 205-218
- https://doi.org/10.1088/0305-4470/10/2/010
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.Keywords
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