Some comments on the Sherrington-Kirkpatrick model of spin glasses
نویسندگان
چکیده
منابع مشابه
Extremal Optimization for Sherrington-Kirkpatrick Spin Glasses
Extremal Optimization (EO), a new local search heuristic, is used to approximate ground states of the mean-field spin glass model introduced by Sherrington and Kirkpatrick. The implementation extends the applicability of EO to systems with highly connected variables. Approximate ground states of sufficient accuracy and with statistical significance are obtained for systems with more than N = 10...
متن کاملSome 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.
متن کاملSherrington-Kirkpatrick spin glass model
In a region above the Almeida-Thouless line, where we are able to control the thermodynamic limit of the Sherrington-Kirkpatrick model and to prove replica symmetry, we show that the fluctuations of the overlaps and of the free energy are Gaussian, on the scale 1/ √ N , for N large. The method we employ is based on the idea, we recently developed, of introducing quadratic coupling between two r...
متن کاملCompressible Sherrington-Kirkpatrick spin-glass model
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...
متن کاملThe Sherrington-Kirkpatrick model
The Sherrington-Kirkpatrick (SK) model was introduced by David Sherrington and Scott Kirkpatrick in 1975 as a simple ‘solvable’ (in their words) model for spin-glasses. Spin-glasses are some type of magnetic alloys, and ‘solvable’ meant that the asymptotic free entropy density could be computed exactly. It turns out that the original SK solution was incorrect and in fact inconsistent (the autho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1987
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01225372