The effect of inhomogeneous couplings on the scaling behavior in critical phenomena is considered using renormalization group analysis, Monte Carlo simulations, and other numerical tests. Novel scaling relationships result from nonuniform perturbations of a uniform fixed point at criticality. An effective dimension entering scaling equalities is elucidated. Nonuniversal behavior is found in fully connected systems with exchange couplings arrayed in a hierarchical manner.

Novel Critical-behavior In Inhomogeneous Systems

STELLA, ATTILIO;
1993

Abstract

The effect of inhomogeneous couplings on the scaling behavior in critical phenomena is considered using renormalization group analysis, Monte Carlo simulations, and other numerical tests. Novel scaling relationships result from nonuniform perturbations of a uniform fixed point at criticality. An effective dimension entering scaling equalities is elucidated. Nonuniversal behavior is found in fully connected systems with exchange couplings arrayed in a hierarchical manner.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2511836
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