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Phase Transitions
A Multinational Journal
Volume 82, 2009 - Issue 9
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Original Articles

Dynamic phase transition and dynamic phase diagrams in the spin-5/2 Blume–Capel model under a time-dependent oscillating external field

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Pages 683-698 | Received 24 Aug 2009, Accepted 15 Sep 2009, Published online: 16 Nov 2009

References

  • Tucker , JW . 1987 . Ising ferromagnet with biquadratic exchange interaction and uniaxial anisotropy . J. Magn. Magn. Mater. , 71 : 27 – 32 .
  • Plascak , JA , Moreira , JG and SáBarreto , FC . 1993 . Mean-field solution of the general spin Blume-Capel model . Phys. Lett. A , 173 : 360 – 364 .
  • Kaneyoshi , T and Jaščur , M . 1993 . Contribution to the theory of the spin-5/2 Blume-Capel model . Phys. Status Solidi B , 175 : 225 – 236 . T. Kaneyoshi and A. Benyoussef, Correlated effective-field treatment of the Blume-Capel model with half-integer spins, Phys. Status Solidi B 178 (1993), pp. 233–246.
  • Kerouad , M , Saber , M and Tucker , JW . 1994 . A theoretical-study of the diluted spin-5/2 Blume-Capel model Physica A , 210 : 424 – 434 .
  • Song , WJ and Yang , CZ . 1994 . Study of the critical-behavior for the S = 5/2 transverse Ising-model in a random-field . Phys. Status Solidi B , 185 : 227 – 233 .
  • Lee , YS , Greven , M , Wells , BO , Birgeneau , BJ and Shirane , G . 1998 . Spin correlations in the two-dimensional spin-5/2 Heisenberg antiferromagnet Rb2MnF4 . Eur. Phys. J. B , 5 : 15 – 22 .
  • Cuccoli , A , Tognetti , V , Vaia , R and Verrucchi , P . 2000 . Two-dimensional quantum Heisenberg antiferromagnet: Effective-Hamiltonian approach to the thermodynamics . Phys. Rev. B , 56 : 14456 – 14468 .
  • Costa , BV and Pires , AST . 2003 . Phase diagrams of a two-dimensional Heisenberg antiferromagnet with single-ion anisotropy . J. Magn. Magn. Mater. , 262 : 316 – 324 .
  • Zhou , C , Landau , DP and Schultess , TC . 2007 . Monte Carlo simulations of Rb2MnF4: A classical Heisenberg antiferromagnet in two dimensions with dipolar interaction . Phys. Rev. B , 76 : 024433-1 – 12 .
  • Christianson , RJ , Leheny , RL , Birgeneau , RJ and Erwin , RW . 2001 . Critical dynamics of a spin-5/2 two-dimensional isotropic antiferromagnet . Phys. Rev. B , 63 : 140401-1 – 4 .
  • Wildes , AR , Rønnow , HM , Roeesli , B , Haris , MJ and Godfrey , KW . 2006 . Static and dynamic critical properties of the quasi-two-dimensional antiferromagnet MnPS3 . Phys. Rev. B , 74 : 094422
  • Yasui , T , Tutu , H , Yamamoto , M and Fujisaka , H . 2002 . Dynamic phase transitions in the anisotropic XY spin system in an oscillating magnetic field . Phys. Rev. E , 66 : 036123 A. Chatterjee and B.K. Charabarti, Competing field pulse induced dynamic transition in Ising models, Phase Trans. 77 (2004), p. 581; H. Tutu and N. Fujiwara, Landau theory of dynamic phase transitions and systematic perturbation expansion method for getting phase diagrams, J. Phys. Soc. Japan 73 (2004), p. 2680; M. Acharyya, Nonequilibrium phase transitions in model ferromagnets: A Review, Int. J. Mod. Phys. C 16 (2005), p. 1631; E. Machado, G.M. Buendía, P.A. Rikvold, and R.M. Ziff, Response of a catalytic reaction to periodic variation of the CO pressure: Increased CO2 production and dynamic phase transition, Phys. Rev. E 71 (2005), p. 016120, and references therein.
  • Keskin , M , Canko , O and Deviren , B . 2006 . Dynamic phase transition in the kinetic spin-3/2 Blume-Capel model under a time-dependent oscillating external field . Phys. Rev. E , 74 : 011110 M. Keskin, O. Canko, and M. Kırak, Dynamic dipole and quadrupole phase transitions in the kinetic spin-3/2 model, J. Stat. Phys. 127 (2007), p. 359; M. Keskin, U. Temizer, O. Canko, and E. Kantar, Dynamic phase transition in the kinetic Blume-Emery-Griffiths model: Phase diagrams in the temperature and interaction parameters planes, Phase Trans. 80 (2007), pp. 855–866; U. Temizer, E. Kantar, M. Keskin, and O. Canko, Multicritical dynamical phase diagrams of the kinetic Blume-Emery-Griffiths model with repulsive biquadratic coupling in an oscillating field, J. Magn. Magn. Mater. 320 (2008), pp. 1787–1801.
  • Keskin , M , Kantar , E and Canko , O . 2008 . Kinetics of a mixed spin-1 and spin-3/2 Ising system under a time-dependent oscillating magnetic field . Phys. Rev. E , 77 : 051130-1 – 9 .
  • Jiang , Q , Yang , HN and Wang , GC . 1995 . Scaling and dynamics of low-frequency hysteresis loops in ultrathin Co films on a Cu(001) surface . Phys. Rev. B , 52 : 14911 W. Kleemann, T. Braun, J. Dec, and O. Petracic, Dynamic phase transitions in ferroic systems with pinned domain walls, Phase Trans. 78 (2005), p. 811; N. Gedik, D.S. Yang, G. Logvenov, I. Bozovic, and A.H. Zewail, Nonequilibrium phase transitions in cuprates observed by ultrafast electron crystallography, Science 316 (2007), pp. 425–429; D.T. Robb, Y.H. Xu, O. Hellwing, J. McCord, A. Berger, M.A. Novotny, and P.A. Rikvold, Evidence for a dynamic phase transition in [Co/Pt]3 magnetic multilayers, Phys. Rev. B 78 (2008), p. 134422.
  • Glauber , RJ . 1963 . Time-dependent statistics of the Ising model . J. Math. Phys. , 4 : 294 – 307 .
  • T. Ma and S. Wang, World Scientific Series on Nonlinear Science, Series A:Monograps and Treaties, Vol: 53, World Scientific Publishing, Hackensack, 2005; T. Ma and S. Wang, Stability and bifurcation of nonlinear evolution equations, Science Press, Beijing, in Chinese, 2007, p. 413; T. Ma and S. Wang, Dynamic phase transitions for ferromagnetic systems, J. Math. Phys. 49 (2008), pp. 053506-1–18.
  • Berkolaiko , G and Grinfeld , M . 2007 . Type of dynamic phase transition in bistable equations . Phys. Rev. E , 76 : 061110-1 – 4 .
  • Zimmer , MF . 1993 . Ising model in an oscillating-magnetic-mean-field theory . Phys. Rev. E , 47 : 3950
  • Kim , BJ and Hong , H . 2008 . Dynamic phase transition of the globally-coupled kinetic Ising model in the low-frequency region . J. Korean Phys. Soc. , 52 : 203 – 208 .
  • Keskin , M , Canko , O and Temizer , U . 2005 . Dynamic phase transition in the kinetic spin-1 Blume-Capel model under a time-dependent oscillating external field . Phys. Rev. E , 72 : 036125-1 – 10 .
  • Deviren , B , Keskin , M and Canko , O . 2009 . Kinetics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic model . J. Magn. Magn. Mater. , 321 : 458 – 466 .
  • Tomé , T and de Oliveira , MJ . 1990 . Dynamic phase transition in the kinetic Ising model under a time-dependent oscillating field . Phys. Rev. A , 41 : 4251 – 4254 .
  • Keskin , M , Canko , O and Kantar , E . 2006 . Dynamic dipole and quadrupole phase transitions in the kinetic spin-1 model . Int. J. Mod. Phys. C , 17 : 1239 – 1255 . O. Canko, Ü Temizer, and M. Keskin, Dynamic phase transition in the kinetic Blume-Emery-Griffiths model in an oscillating external field, Int. J. Mod. Phys. C 17 (2006), pp. 1717–1737.
  • Canko , O , Deviren , B and Keskin , M . 2006 . Dynamic phase transition in the kinetic spin-3/2 Blume-Emery-Griffiths model in an oscillating field . J. Phys.: Condens. Matter. , 118 : 6635 – 6653 . B. Deviren, M. Keskin, and O. Canko, Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume-Emery-Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field, Comput. Phys. Commun. 178 (2008), pp. 420–437.
  • Keskin , M , Canko , O and Ertaş , M . 2007 . Kinetics of the spin-2 Blume-Capel model under a time-dependent oscillating external field . J. Exp. Theor. Phys. , 105 : 1190 – 1197 . M. Ertaş O. Canko, and M. Keskin, Dynamic phase transition in the kinetic spin-2 Blume-Emery-Griffiths model in an oscillating field, J. Magn. Magn. Matter. 320 (2008), p. 1765.
  • Buendía , GM and Machado , E . 1998 . Kinetics of a mixed Ising ferrimagnetic system . Phys. Rev. E , 58 : 1260 – 1265 . M. Keskin, M. Keskin, O. Canko, and Y. Polat, Dynamic phase transitions in the kinetic mixed spin-1/2 and spin-1 Ising ferrimagnetic system under a time dependent magnetic field, J. Korean Phys. Soc. 53 (2008), pp. 497–504.

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