Random bond Ising systems on a general hierarchical lattice: Exact inequalities

Abstract

Random bond Ising systems on a general hierarchical lattice are considered. Interesting inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These lead to upper bounds on the crossover exponents $\{{\varphi }_i\}$.

pdf, 10 pages, figures 1a and 1b

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