Edwards-Anderson model

In the previous sections, we briefly introduced a number of different specific models for crystal growth. In this section we will make some further simplifications to treat some generic behavior of growth problems in the simplest possible form. This usually leads to some nonlinear partial differential equations, known under names like Burgers, Kardar-Parisi-Zhang (KPZ), Kuramoto-Sivashinsky, Edwards-Anderson, complex Ginzburg-Landau equation and others. 

Given that the long residence time of uranium should place limits on how much the marine value could change over Late Quaternary time scales, several workers have used models to determine what these limits should be (see Henderson and Anderson 2003). Chen et al. (1986) and Edwards (1988) used a simple one-box model and assumed steady state conditions. They showed that ... 

Prog Neuropsychopharmacol Biol Psychiatry 25 141-166 Henn FA, Johnson J, Edwards E, Anderson D (1985) Melancholia in rodents neurobiology and pharmacology. Psychopharmacol Bull 21 443-446 Henn FA, Edwards E, Muneyyird J (1993) Animal models in depression. Clin Nemosci 1 152-156... 

These models were developed by Zerner and coworkers (Zerner, Anderson, and Edwards, 1986). ZINDO/1 is a variant of INDO, and ZINDO/S is an INDO method designed to predict spectroscopic transitions. 

W. P. Anderson, W. D. Edwards, M. C. Zerner, and S. Canute, Chem. Phys. Lett., 88, 185 (1982). A Comparison of Theoretical Models for Interpreting the Photoelectron Spectrum of Borazine. 

The most common example of the resonance theory is the description of the benzene structure. The experimentally precisely determined and accurately known carbon-carbon bond length is consistent with the model as average of the resonance structures. When Pauling s resonance description of the benzene structure was criticized, the physicist Edward Teller and his colleagues provided spectroscopic evidence to support it [40]. The Nobel laureate physicist Philip Anderson was oblivious of Teller s and his co-workers paper (Private communication from Philip Anderson to the author by e-mail in 2009), and 68 years after Teller s contribution, in 2008, Anderson communicated another supportive paper for Pauling s model [41]. 

In 1975 Edwards and Anderson (EA) published a paper (Edwards and Anderson 1975) which revolutionized the statistical mechanics of disordered spin systems. Stimulated by Cannella and Mydosh s observation of a cusp in the temperature dependence of the ac magnetic susceptibility of dilute alloys such as AwFe and CuMn (Cannella and Mydosh 1972), EA propose a model to study this problem and a method of solving it. They consider the Hamiltonian... 

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... 

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