Gas Phase of Asymmetric Nearest Neighbor Ising Model |
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| Authors: | Alexander Mazel Aldo Procacci Benedetto Scoppola |
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| Institution: | (1) Discus Data Solutions, 505 Eighth Ave, Suite 802, New York, New York, 10018;(2) Departamento de Matematica, ICEx - UFMG, Belo Horizonte, Brazil;(3) Dipartimento di Matematica, Università  La Sapienza di Roma, Piazzale A. Moro 2, 00185 Roma, Italy |
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| Abstract: | We consider an asymmetric d-dimensional, d>1, Ising model with the pair interaction I in one direction different from the pair interaction J in all other directions. We show that for any inverse temperature  the system is in the gas phase as soon as |J|<C
–1
d
–2(1–tanh( |I|)) with C>0 being a small numeric constant. |
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| Keywords: | asymmetric Ising model cluster expansion |
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