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Finite-size scaling in disordered systems
H Chamati1, E Korutcheva, N S Tonchev
1G. Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
Abstract:
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.