Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Sherrington-Kirkpatrick model

Mean-field theory (Sherrington-Kirkpatrick model)... [Pg.231]

Up to now no realistic model of a spin glass has been solved analytically. The simple model proposed by Edwards and Anderson (1975) (sec. 4.1), however, is shown by Monte Carlo simulations to reproduce many experimental findings on spin glasses remarkably well (sec. 4.2). Its mean-field theory, as realized in the Sherrington-Kirkpatrick (SK) model (1975) (sec. 4.3), is now fairly well understood (which has taken about eight years). The solution proposed by Parisi (1979) yields a rich structure in the ordered phases, described by an infinite number of... [Pg.347]

The infinite-range model of Sherrington and Kirkpatrick (SK) (1975) was originally introduced as a model for which the mean field analysis of EA would be exact. Here, each spin couples equally with every other spin in the system. One takes in eq. 10 the mean [7 ] , = Jg/N and the variance AJ = J/VN in order to get a non-trivial thermodynamic limit (N is the number of spins in the system). [Pg.231]

D. Sherrington, S. Kirkpatrick, Solvable model of a spin-glass. Phys. Rev. Lett. 35(26), 1792-1796 (1975)... [Pg.790]

See other pages where Sherrington-Kirkpatrick model is mentioned: [Pg.105]    [Pg.214]    [Pg.105]    [Pg.214]    [Pg.339]    [Pg.272]    [Pg.338]    [Pg.282]    [Pg.87]    [Pg.315]    [Pg.239]    [Pg.315]   
See also in sourсe #XX -- [ Pg.231 , Pg.232 , Pg.233 , Pg.234 , Pg.235 , Pg.236 , Pg.237 , Pg.238 , Pg.239 ]



SEARCH



Kirkpatrick

Sherrington

© 2024 chempedia.info