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math-ph2017★ 5 cited
Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields
Rodrigo Bissacot, Eric O. Endo, Aernout C. D. van Enter +2
We consider ferromagnetic long-range Ising models which display phase transitions. They are long-range one-dimensional Ising ferromagnets, in which the interaction is given by $J_{…
math-ph2017
Dyson models under renormalization and in weak fields
R. Bissacot, E. O. Endo, A. C. D. van Enter +3
We consider one-dimensional long-range spin models (usually called Dyson models), consisting of Ising ferromagnets with slowly decaying long-range pair potentials of the form $\fra…