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Название: Bethe Lattice Spin Glass: The Effects of a Ferromagnetic Bias and External Fields. I. Bifurcation Analysis
Авторы: Carlson J.M., Chayes J.T., Chayes L.
We present a rigorous analysis of the +_J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize the bulk ordered phases using bifurcation theory: we prove the existence of a distribution of single-site magnetizations far inside the lattice which is stable with respect to changes in the boundary conditions.