Random bond Ising systems on a general hierarchical lattice: Exact inequalities
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nn
keywords
bondgeneralhierarchicalinequalitiesisinglatticerandomsystems
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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 $\{\phi_i\}$.
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