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2012. . . . . I) Ising S=1 . - PowerPoint PPT Presentation

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  • 2012

  • I) Ising S=1 .

    Universality of the Ising and the S=1 model on Archimedean lattices: A Monte Carlo determinationA. Malakis, G. Gulpinar, Y. Karaaslan, T. Papakonstantinou, and G. AslanPhysical Review E Volume: 85, 031146 (2012)

    II) Blume-Capel .

    Universality aspects of the d=3 random-bond Blume-Capel modelA. Malakis, A. Nihat Berker, N. G. Fytas, and T. PapakonstantinouPhysical Review E Volume: 85, 061106 (2012)

    III) M spin-glass Edwards-Anderson.

    Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line. Papakonstantinou, . Malakiseprint arXiv:1208.0883

  • I) Ising S=1 .

  • I) Ising S=1 . [1] F.W.S. Lima, J. Mostowicz, and K. Malarz,Commun. Comput. Phys. 10, 912 (2011).

    1///(3,4,6,4)0.999(4)0.129(5)1.745(8)(3,4,6,4) [1]0.83(5)(34,6)0.997(4)0.121(4)1.755(13)(34,6) [1]0.94(5)2D Ising10.1251.75

  • II) Blume-Capel .

  • a. (=1): Ising.

    b. (=2.9): [2] M. Hasenbusch, F. Parisen Toldin, A. Pelissetto, and E. Vicari, J. Stat. Mech.: Theory Exp. (2007) P02016.

    II) Blume-Capel .

    /r=0r=1/311.963(5) [2]1.964(4)2.9-1.864(12)

  • III) M spin-glass Edwards-Anderson.Jij=1u=xy,z

  • [3] p*=0.117 F-P RIM

    p*xy=0.176 [3] M. Hasenbusch, F. Parisen Toldin, A. Pelissetto, and E. Vicari, Phys. Rev. B 76, 094402 (2007). (0, 4.5115232(16)) (1.6692(3) ,0.23180(4)) (0.222(5), 0) (0.5, 1.09(10))p*xy= 3/2 p*

  • Monte Carlo P.T. Metropolis3~5 : 0.5~1000 LL = {8, 12, 16, 20, 24, 28, 32, 36, 40, 44}

    (FSS)

  • 1/=1.463(3)

    0.6835(25)0.683(3)RSDIM0.6837(53)3d Pure Ising0.630(1)

  • []*~L/

    /1.9614(28)1.963(5)RSDIM1.964(2)

  • / (1/=1.463) 0.5058(84)2 0.520(9) (2/)+/=3 0.518(5)

  • TC = 3.2931(12)

    C1/=1.463 Lmin={8-24}3.2931(12)1/=1.463 Lmin={16-24}3.2945(18) Lmin={8-24}3.2934(8) Lmin={16-24}3.2940(16)

  • C3.2928(7)1/ 1.466(12)/ 0.516(7)

  • - , Ising.

    1/ = 1.463(3) / = 0.516(7).

  • .

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