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-$T_c$'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established and analyzed near the upper critical dimension $d=4-\epsilon$ and some universal results are obtained. The problem of self-averaging is clarified for different critical regimes.

21 pages, 2 figures, submitted to the Physcal Review E

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