Finite-Size Scaling and Lack of Self-Averaging in Critical Disordered Systems

Shai Wiseman and Eytan Domany
Phys. Rev. Lett. 81, 22 – Published 6 July 1998
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Abstract

We simulated site dilute Ising models in d=3 dimensions for several lattice sizes L. For each L singular thermodynamic quantities X were measured at criticality and their distributions P(X) were determined for ensembles of several thousand random samples. For L the relative width of P(X) tends to a universal constant: there is no self-averaging. The width of the distribution of the sample (i) dependent pseudocritical temperatures Tc(i,L) scales as δTc(L)L1/ν and not as Ld/2. The sample dependence of Xi(T,L) enters dominantly, but not exclusively, via Tc(i,L).

  • Received 9 February 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.22

©1998 American Physical Society

Authors & Affiliations

Shai Wiseman and Eytan Domany

  • Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 81, Iss. 1 — 6 July 1998

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