Finite size effects for the dilute coupling Derrida model Original Research Article

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.