منابع مشابه
The 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 کاملKirkpatrick and Beyond
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متن کاملBeyond the Sherrington-kirkpatrick Model
The state of art in spin glass field theory is reviewed. We start from an Edwards-Anderson-type model in finite dimensions, with finite but long range forces, construct the effective field theory that allows one to extract the long wavelength behaviour of the model, and set up an expansion scheme (the loop expansion) in the inverse range of the interaction. At the zeroth order we recover mean f...
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 کاملThe Generalized Ronce-Kirkpatrick Model with Predation
Ronce and Kirkpatrick (2001) derived the model on which our first model (eqq. [1], [2]) is based, and our equation for evolution is identical to theirs. Our ecological model differs because we include nonlinear density dependence and mortality due to predation. It is useful to express the ecological model in terms of more familiar ecological and evolutionary parameters to point out a difference...
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ژورنال
عنوان ژورنال: PS: Political Science & Politics
سال: 1995
ISSN: 1049-0965,1537-5935
DOI: 10.1017/s1049096500057899