Abstract
The theory of distinguishing between the 1st and the 2nd order phase transitions in the Monte Carlo simulations of three-dimensional Ashkin-Teller spin-lattice model, a system with three order parameters, is implemented. The applied method allows a precise location of points on the phase diagram. It is shown that parallel computations, necessary when larger samples are considered, can be easly realized on the cluster of the Linux PCs using the LAM/MPI programming environment and the CPU times of the simulation runs are not longer than these on the SGI Power Challenge and Origin 3200C supercomputers. Some critical points on the phase boundaries have been calculated in the regions complementary to the results recently obtained in literature.
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Musiał, G., Dębski, L. (2002). Monte Carlo Method with Parallel Computation of Phase Transitions in the Three-Dimensional Ashkin-Teller Model. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_59
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DOI: https://doi.org/10.1007/3-540-48086-2_59
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