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- W3106324105 abstract "We derive exact renormalization-group recursion relations for an Ising model, in the presence of external fields, with ferromagnetic nearest-neighbor interactions on Migdal–Kadanoff hierarchical lattices. We consider layered distributions of aperiodic exchange interactions, according to a class of two-letter substitutional sequences. For irrelevant geometric fluctuations, the recursion relations in parameter space display a nontrivial uniform fixed point of hyperbolic character that governs the universal critical behavior. For relevant fluctuations, in agreement with previous work, this fixed point becomes fully unstable, and there appears a two-cycle attractor associated with a new critical universality class." @default.
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- W3106324105 date "2000-06-10" @default.
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- W3106324105 title "FIELD BEHAVIOR OF AN ISING MODEL WITH APERIODIC INTERACTIONS" @default.
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- W3106324105 doi "https://doi.org/10.1142/s0217979200001461" @default.
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