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APS » Journals » Phys. Rev. Lett. » Volume 71 » Issue 23
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Phys. Rev. Lett. 71, 3818–3821 (1993)

Novel critical behavior in inhomogeneous systems

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A. L. Stella, Michael R. Swift, Jacques G. Amar, T. L. Einstein, M. W. Cole, and Jayanth R. Banavar
Dipartimento di Fisica e Sezione, Istituto Nazionale di Fisica Nucleare, via Irnerio 46-40126 Bologna, Italy
Department of Physics and Materials Research Laboratory, The Pennsylvania State University, 104 Davey Laboratory, University Park, Pennsylvania 16802
Department of Physics, Emory University, Atlanta, Georgia 30322
Department of Physics, University of Maryland, College Park, Maryland 20742

Received 8 June 1993; published in the issue dated 6 December 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.3818
DOI:
10.1103/PhysRevLett.71.3818
PACS:
64.60.Ak
 
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