We prove, using the random-cluster model, a strict inequality between site percolation and magnetization in the region of phase transition for the d-dimensional Ising model, thus improving a result of[5]. We extend this result also at the case of two plane lattices Z(2) (slabs) and give a characterization of phase transition in this case. The general case of N slabs, with N an arbitrary positive integer, is partially solved and it is used to show that this characterization holds in the case of three slabs with periodic boundary conditions.
Slab percolation and phase transitions for the Ising model / DE SANTIS, Emilio; Rossella, Micieli. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 122:1(2006), pp. 59-72. [10.1007/s10955-005-8086-7]
Slab percolation and phase transitions for the Ising model
DE SANTIS, Emilio;
2006
Abstract
We prove, using the random-cluster model, a strict inequality between site percolation and magnetization in the region of phase transition for the d-dimensional Ising model, thus improving a result of[5]. We extend this result also at the case of two plane lattices Z(2) (slabs) and give a characterization of phase transition in this case. The general case of N slabs, with N an arbitrary positive integer, is partially solved and it is used to show that this characterization holds in the case of three slabs with periodic boundary conditions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
