Finite-size scaling in disordered systems

The critical behavior of a quenched random hypercubic sample of linear size L is considered, within the "random-T(c)" field-theoretical model, by using the renormalization group method. A finite-size scaling behavior is established and analyzed near the upper critical dimension d=4-epsilon...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2002-02, Vol.65 (2 Pt 2), p.026129-026129
Main Authors: Chamati, H, Korutcheva, E, Tonchev, N S
Format: Article
Language:English
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Summary:The critical behavior of a quenched random hypercubic sample of linear size L is considered, within the "random-T(c)" field-theoretical model, by using the renormalization group method. A finite-size scaling behavior is established and analyzed near the upper critical dimension d=4-epsilon and some universal results are obtained. The problem of self-averaging is clarified for different critical regimes.
ISSN:1539-3755
DOI:10.1103/PhysRevE.65.026129