Following Frohlich and Spencer, we study one dimensional Ising spin systems with ferromagnetic, long range interactions which decay as vertical bar x-y vertical bar(-2+alpha), 0 <=alpha <= 1/2. We introduce a geometric description of the spin configurations in terms of triangles which play the role of contours and for which we establish Peierls bounds. This in particular yields a direct proof of the well-known result by Dyson about phase transitions at low temperatures. (C) 2005 American Institute of Physics.

Cassandro, M., Ferrari, P., Merola, I., Presutti, E. (2005). Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions. JOURNAL OF MATHEMATICAL PHYSICS, 46(5), 1-22 [10.1063/1.1897644].

Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions

PRESUTTI, ERRICO
2005-01-01

Abstract

Following Frohlich and Spencer, we study one dimensional Ising spin systems with ferromagnetic, long range interactions which decay as vertical bar x-y vertical bar(-2+alpha), 0 <=alpha <= 1/2. We introduce a geometric description of the spin configurations in terms of triangles which play the role of contours and for which we establish Peierls bounds. This in particular yields a direct proof of the well-known result by Dyson about phase transitions at low temperatures. (C) 2005 American Institute of Physics.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
VAPOR-LIQUID EQUILIBRIUM; PERCOLATION MODELS; PHASE-TRANSITION; POTTS MODELS; van der WAALS THEORY.
Cassandro, M., Ferrari, P., Merola, I., Presutti, E. (2005). Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions. JOURNAL OF MATHEMATICAL PHYSICS, 46(5), 1-22 [10.1063/1.1897644].
Cassandro, M; Ferrari, P; Merola, I; Presutti, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/37189
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