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On the Finite Size Scaling in Disordered Systems

H. Chamati·E. Korutcheva·N. S. Tonchev
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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 $d=4-ε$ and some universal results are obtained. The problem of self-averaging is clarified for different critical regimes.

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H. Chamati, E. Korutcheva, N. S. Tonchev. 2001-07-25. On the Finite Size Scaling in Disordered Systems. https://doi.org/10.1103/physreve.65.026129

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