Автор |
A J Bray |
Автор |
M A Moore |
Автор |
A P Young |
Дата выпуска |
1984-02-20 |
dc.description |
Generating functions of the form Z(u)= Sigma <sub>s</sub> exp(u beta F<sub>s</sub>) are considered, where the sum is over solutions of the Thouless-Anderson-Palmer (TAP) equations for the Sherrington-Kirkpatrick spin glass model and F<sub>s</sub> is the free energy of solution s. It is shown that the weight function exp(u beta F<sub>s</sub>)/Z(u) projects out solutions of the lowest free energy for all u less than a critical value. The associated Parisi order parameter function q(x) has the scaling form q(x)=q<sub>P</sub>( mod u mod x) for mod u mod x<x, where q<sub>p</sub>(x) is the Parisi function for the canonical weight (u=-1) and x is the 'break point' in the Parisi function. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Weighted averages of TAP solutions and Parisi's q(x) |
Тип |
lett |
DOI |
10.1088/0022-3719/17/5/006 |
Print ISSN |
0022-3719 |
Журнал |
Journal of Physics C: Solid State Physics |
Том |
17 |
Первая страница |
L155 |
Последняя страница |
L160 |
Аффилиация |
A J Bray; Dept. of Theoretical Phys., Univ. of Manchester, Manchester, UK |
Аффилиация |
M A Moore; Dept. of Theoretical Phys., Univ. of Manchester, Manchester, UK |
Аффилиация |
A P Young; Dept. of Theoretical Phys., Univ. of Manchester, Manchester, UK |
Выпуск |
5 |