Department of Physics Papers

Document Type

Conference Paper

Date of this Version

1975

Publication Source

AIP Conference Proceedings

Volume

24

Start Page

311

Last Page

312

DOI

10.1063/1.30103

Abstract

Renormalization group methods are used to analyze the critical behavior of random Ising models. The Wilson‐Fischer ε‐expansion for the recursion relations for n‐component continuous spin models are developed for randomly inhomogeneous systems. In addition to the usual variables for a homogeneous system there appears a variable which in essence describes local fluctuations in T c . From the structure and stability of the fixed points we conclude that critical exponents are unaffected by randomness for n≳4 but are renormalized by randomness for 1<n

Copyright/Permission Statement

Reprinted with permission from AIP Conference Proceedings. Copyright 1975, American Institute of Physics.

Comments

Proceedings from Magnetism and Magnetic Materials conference, 1974, San Francisco, CA.

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Date Posted:07 July 2015