Finite size effects for the dilute coupling Derrida model

There is a certain correspondence between the problems of information theory and spin-glass physics. The Derrida model occupies an important place here, as it is optimal in a certain sense. We have considered finite size corrections in the paramagnetic, spin-glass and ferromagnetic phases. At T = 0...

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Bibliographic Details
Published in:Nuclear physics. B 1997-08, Vol.498 (3), p.604-618
Main Authors: Allakhverdyan, A.E., Saakian, D.B.
Format: Article
Language:English
Subjects:
Information theory
Phase transitions
Spin-glasses
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Summary:There is a certain correspondence between the problems of information theory and spin-glass physics. The Derrida model occupies an important place here, as it is optimal in a certain sense. We have considered finite size corrections in the paramagnetic, spin-glass and ferromagnetic phases. At T = 0 the finite size corrections in the ferromagnetic phase have an important information theoretic meaning. We found singular corrections in the paramagnetic region and finite size corrections in the spin-glass region, which are responsible for the zero-modes. The connection between information theory and spin-glass physics and the physical meaning of finite size corrections are discussed in detail.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)00333-7