Some rigorous results on the Sherrington-Kirkpatrick spin glass model
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چکیده
منابع مشابه
Some Rigorous Results on the Sherrington-Kirkpatrick Spin Glass Model
We prove that in the high temperature regime (T/J > 1) the deviation of the total free energy of the Sherrington-Kirkpatrick (S-K) spin glass model from the easily computed logAv(ZN({βJ})) converges in distribution, as ΛΓ-KX), to a (shifted) Gaussian variable. Some weak results about the low temperature regime are also obtained.
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Abstract. We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica method. In the replica-symmetric approximation, we analyze the pressuretemperature phase diagram, and obtain expressions for the critical boundarie...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1988
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01229207