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1 2005

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Finite-size analysis via the critical energy-subspace method in the Ising models

Malakis A. C., Hadjiagapiou I. A., Martinos S. S., Fytas N. G.

Materials Science Poland

2005

Vol. 23, No. 4

947--954

We briefly review some applications of the critical minimum energy-subspace method (CrMES) using the Wang?Landau sampling for the estimation of the density of states (DOS). These applications concern the two- and three-dimensional Ising models and their important conserved order parameter versions (COP), known also as the Ising models with fixed magnetization (IMFM). The recently developed CrMES scheme greatly facilitates methods for sampling the DOS of classical statistical models in large systems. In effect, the CrMES technique enables the estimation of critical behaviour using only a small part of the energy space. Specific heat curves are obtained, their peaks are located and their scaling behaviour is studied and compared with the results known from literature whenever such results exist.