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cond-mat.dis-nn2005
Finitely connected vector spin systems with random matrix interactions
A. Coolen, N. S. Skantzos, I. Perez Castillo +4
We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal m…
cond-mat.dis-nn2005
Dynamical replica analysis of disordered Ising spin systems on finitely connected random graphs
J. P. L. Hatchett, I. Pérez Castillo, A. C. C. Coolen +1
We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with r…