Investigation of Phase Transitions in the Site-Diluted Three-Dimensional Potts Model

Abstract:

The phase transitions and critical phenomena in three-dimensional (3D) site-diluted 3-and 4-state Potts models is investigated by Monte-Carlo method based on the highly efficient Wolff algorithm. The systems with linear sizes L=20-44 at spin concentrations p=1.00, 0.95, 0.90, 0.80, 0.70, 0.65 are explored. The second-order phase transition is shown to occur in the three-dimensional 3-state Potts model with nonmagnetic impurities. In the 4-state Potts model there are observed first-order phase transitions in weakly diluted state, when the model is strongly diluted the first-order phase transitions change to the second-order one. On the basis of the finite-size scaling theory static critical exponents of specific heat α, susceptibility γ , magnetization β, and exponent of correlation radius ν for the systems under study are calculated.

• Periodical: Solid State Phenomena (Volume 190)
• Pages: 687-690
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.190.687
• Online since: June 2012
• Authors: A.K. Murtazaev, A.B. Babaev
• Keywords: Diluted Systems, Monte-Carlo Simulation, Phase Transition, Potts Model, Quenched Disorder

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