Dynamic Phase Transition and Multicritical Dynamic Phase Diagrams of The Kinetic Spin-2 Ising Model With Repulsive Biquadratic Coupling under a Time-dependent Oscilating External Field

다국어 초록 (Multilingual Abstract)

We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the kinetic spin-2 Blume-Emery-Griffiths model with repulsive biquadratic coupling under the presence of a time-dependent oscillating external magnetic eld. First, we employ the Glauber transition rates to construct the set of mean-field dynamic equations. Then, we study the time variation of the average order parameters to nd the phase in the system. We also investigate the behavior of the dynamic order parameters to characterize the nature (continuous or discontinu- ous)of the transition and to obtain the DPT points. We present the dynamic phase diagrams in the plane of the reduced temperature versus magnetic field amplitude. The phase diagrams exhibit the ferrimagnetic, ferromagnetic -1, antiquadrupolar and disordered fundamen- tal phases. In addition to these fundamental phases, depending on the interaction parameters, we find ten coexisting or mixed phases composed of binary and ternary combinations of fundamental phases. The phase diagrams also display many special points, such as a dynamic tricritical point, a zero-temperature critical point, a critical end point, a double critical end point, a multicritical point, a triple point and a tetracritical point.

참고문헌 (Reference)

1 J. A. Plascak, 173 : 360-, 1993

2 T. Tome, 41 : 4251-, 1990

3 T. Obokata, 25 : 322-, 1968

4 D. Ray, 18 : 1401-, 1978

5 A. Elkouraychi, 213 : 576-, 1995

6 M. Saber, 217 : 407-, 1995

7 T. Kaneyoshi, 48 : 250-, 1993

8 H. El Mir, 138 : 76-, 1994

9 W. Jiang, 11 : 832-, 2002

10 M. A. Ahrens, 59 : 889-, 2002

11 A. Erdinc, 21 : 5265-, 2007

12 O. Canko, 294 : 63-, 2005

13 O. Canko, 340 : 18-, 2005

14 T. Iwashita, 248-288 : 1203-, 2000

15 W. Jiang, 225 : 215-, 2001

16 Y.-Q. Liang, 21 : 378-, 2002

17 Y.-Q. Liang, 42 : 623-, 2004

18 M. Keskin, 105 : 1190-, 2007

19 M. Ertas, 320 : 1765-, 2008

20 R. J. Glauber, 4 : 294-, 1963

21 W. Kleemann, 78 : 811-, 2005

22 D. T. Robb, 2006

23 D. T. Robb,

24 E. Machado, 71 : 016120-, 2005

25 M. Keskin, 127 : 359-, 2007

26 Q. Jiang, 52 : 14911-, 1995

27 T. Yasui, 66 : 036123-, 2002

28 H. Tutu, 73 : 2680-, 2004

29 M. Acharyya, 16 : 1631-, 2005

30 M. Keskin, 283 : 392-, 2004

31 C. Ekiz, 66 : 054105-, 2002

32 Y. L. Wang, 36 : 8945-, 1987

33 W. Hoston, 67 : 1027-, 1991

34 K. Kasono, 88 : 205-, 1992

35 S. Lapiskas, 49 : 15190-, 1994

36 J. W. Tucker, 71 : 27-, 1987

37 G. Berkolaiko, 76 : 061110-, 2007

38 A. Erdinc, 52 : 521-, 2006

39 T. Ma, 49 : 053506-, 2008

40 M. Keskin, 72 : 036125-, 2005

41 B. Deviren,

42 U. Temizer, 320 : 1787-, 2008

43 B. Deviren, 178 : 420-, 2008

44 M. Keskin, 17 : 1239-, 2006

45 O. Canko, 18 : 6635-, 2006

46 M. N. Tamashiro, 211 : 124-, 1994

47 J. W. Tucker, 187 : 381-, 1998

48 C. Ekiz, 256 : 311-, 2003

49 T. Ma, "Stability and Bifurcation of Nonlinear Evolution Equations" Science Press 2007

50 Beom Jun Kim, "Dynamic Phase Transition of the Globally-Coupled Kinetic Ising Model in the Low-Frequency Region" 한국물리학회 52 (52): 203-208, 2008

51 T. Ma, "Bifurcation Theory and Applications, World Scientific Series on Nonlinear Science. Series A: Monographs and Treaties, Vol. 53" World Scientific Publishing 2005