On the Finite Size Scaling in Disordered Systems

Abstract

The critical behavior of a quenched random hypercubic sample of linear size L is considered, within the ``random-Tc'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established and analyzed near the upper critical dimension d=4-ε and some universal results are obtained. The problem of self-averaging is clarified for different critical regimes.

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