On the Finite Size Scaling in Disordered Systems

H. Chamati, E. Korutcheva, N. S. Tonchev

Published 2001-07-11, updated 2001-07-25Version 3

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.