Novel critical behavior in inhomogeneous systems

A. L. Stella; Michael R. Swift; Jacques G. Amar; T. L. Einstein; M. W. Cole; Jayanth R. Banavar

doi:10.1103/PhysRevLett.71.3818

Novel critical behavior in inhomogeneous systems

A. L. Stella, Michael R. Swift, Jacques G. Amar, T. L. Einstein, M. W. Cole, Jayanth R. Banavar

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Abstract

The effect of inhomogeneous couplings of 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.

Original language	English (US)
Pages (from-to)	3818-3821
Number of pages	4
Journal	Physical review letters
Volume	71
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.71.3818
State	Published - 1993

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1103/PhysRevLett.71.3818

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title = "Novel critical behavior in inhomogeneous systems",

abstract = "The effect of inhomogeneous couplings of 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.",

author = "Stella, {A. L.} and Swift, {Michael R.} and Amar, {Jacques G.} and Einstein, {T. L.} and Cole, {M. W.} and Banavar, {Jayanth R.}",

year = "1993",

doi = "10.1103/PhysRevLett.71.3818",

language = "English (US)",

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T1 - Novel critical behavior in inhomogeneous systems

AU - Stella, A. L.

AU - Swift, Michael R.

AU - Amar, Jacques G.

AU - Einstein, T. L.

AU - Cole, M. W.

AU - Banavar, Jayanth R.

PY - 1993

Y1 - 1993

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AB - The effect of inhomogeneous couplings of 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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DO - 10.1103/PhysRevLett.71.3818

M3 - Article

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JO - Physical review letters

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Novel critical behavior in inhomogeneous systems

Abstract

All Science Journal Classification (ASJC) codes

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