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Effects of the Quenched Random Crystal Field on the Dynamic Spin-1 Blume-Capel Model

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Abstract

In this study, we have analyzed the dynamical phase transitions of spin-1 Blume-Capel model with quenched random crystal field under the effect of a time dependent oscillating magnetic field. We have obtained the magnetic field, temperature (h,T) cross sections of the global phase diagram for constant values of the concentration and the amplitude of the single-ion anisotropy within mean field approximation. There are regions of the phase space where both ordered and disordered phases coexist. In addition, the dynamic phase transition from one regime to the other can be a first- or a second-order depending on the region in the phase diagram. Hence, the system exhibits a number of interesting phenomena and a rich variety of phase diagrams with type being according to the concentration p of active local crystal fields.

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References

  1. Kirkpatrick, T.R., Thirumalai, D.: Phys. Rev. B 36, 5388 (1987)

    Article  ADS  Google Scholar 

  2. Blume, M., Emery, V.J., Griffiths, R.B.: Phys. Rev. A 4, 1071 (1971)

    Article  ADS  Google Scholar 

  3. Nicodemi, M., Coniglio, A.: J. Phys. A 30, L187 (1997)

    Article  ADS  MATH  Google Scholar 

  4. Arenzon, J.J., Nicodemi, M., Sellitto, M.: J. Phys. I 6, 1143 (1996)

    Article  Google Scholar 

  5. Coniglio, A.: J. Phys. IV 3, C1–1 (1993)

    Article  MathSciNet  Google Scholar 

  6. Schupper, N., Shnerb, N.M.: Phys. Rev. E 72, 046107 (2005)

    Article  ADS  Google Scholar 

  7. Angelini, R., Ruocco, G., De Panfilis, S.: Phys. Rev. E 78, 020502 (2008)

    Article  ADS  Google Scholar 

  8. Blume, M.: Phys. Rev. 141, 517 (1966)

    Article  ADS  Google Scholar 

  9. Capel, H.W.: Physica 32, 966 (1966)

    Article  ADS  Google Scholar 

  10. Berker, A.N., Wortis, M.: Phys. Rev. B 14, 4946 (1976)

    Article  ADS  Google Scholar 

  11. McKay, S.R., Berker, A.N., Kirkpatrick, S.: Phys. Rev. Lett. 48, 767 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  12. Branco, N.S., Boechat, B.M.: Phys. Rev. B 56, 11673 (1997)

    Article  ADS  Google Scholar 

  13. Branco, N.S.: Phys. Rev. B 60, 1033 (1999)

    Article  ADS  Google Scholar 

  14. Snowman, D.P.: J. Magn. Magn. Mater. 314, 69 (2007)

    Article  ADS  Google Scholar 

  15. Snowman, D.P.: J. Magn. Magn. Mater. 320, 1622 (2008)

    Article  ADS  Google Scholar 

  16. Snowman, D.P.: Phys. Rev. E 77, 041112 (2008)

    Article  ADS  Google Scholar 

  17. McKay, S.R., Berker, A.N.: J. Appl. Phys. 55, 1646 (1984)

    Article  ADS  Google Scholar 

  18. Hoston, W., Berker, A.N.: Phys. Rev. Lett. 67, 1027 (1991)

    Article  ADS  Google Scholar 

  19. Sellitto, M., Nicodemi, M., Arenzon, J.J.: J. Phys. I 7, 945 (1997)

    Article  Google Scholar 

  20. Bouchiat, H., Dartyge, E., Monod, P., Lambert, M.: Phys. Rev. B 23, 1375 (1981)

    Article  ADS  Google Scholar 

  21. Katsumata, K., Nire, T., Tanimoto, M.: Phys. Rev. B 25, 428 (1982)

    Article  ADS  Google Scholar 

  22. For an experimental review, see Belanger, D.P., Young, A.P.: J. Magn. Magn. Mater. 100, 272 (1991)

    Article  ADS  Google Scholar 

  23. Hui, K., Berker, A.N.: Phys. Rev. Lett. 62, 2507 (1989)

    Article  ADS  Google Scholar 

  24. Falicov, A., Berker, A.N.: Phys. Rev. Lett. 76, 4380 (1996)

    Article  ADS  Google Scholar 

  25. Ozcelik, V.O., Berker, A.N.: Phys. Rev. E 78, 031104 (2008)

    Article  ADS  Google Scholar 

  26. Maritan, A., Cieplak, M., Swift, M.R., Toigo, F., Banavar, J.R.: Phys. Rev. Lett. 69, 221 (1992)

    Article  ADS  Google Scholar 

  27. Buzano, C., Maritan, A., Pelizzola, A.: J. Phys., Condens. Matter 6, 327 (1994)

    Article  ADS  Google Scholar 

  28. Kaneyoshi, T.: J. Phys. C, Solid State Phys. 19, L557 (1986)

    Article  ADS  Google Scholar 

  29. Benyoussef, A., Biaz, T., Saber, M., Touzani, M.: J. Phys. C, Solid State Phys. 20, 5349 (1987)

    Article  ADS  Google Scholar 

  30. Boccara, N., Elkenzi, A., Sabers, M.: J. Phys., Condens. Matter 1, 5721 (1989)

    Article  ADS  Google Scholar 

  31. Carneiro, C.E.I., Henriques, V.B., Salinas, S.R.: J. Phys., Condens. Matter 1, 3687 (1989)

    Article  ADS  Google Scholar 

  32. Carneiro, C.E.I., Henriques, V.B., Salinas, S.R.: J. Phys. A, Math. Gen. 23, 3383 (1990)

    Article  ADS  Google Scholar 

  33. Ez-Zahraouy, H., Kassou-Ou-Ali, A.: Phys. Rev. B 69, 064415 (2004)

    Article  ADS  Google Scholar 

  34. Buzano, C., Maritan, A., Pelizzola, A.: J. Phys., Condens. Matter 6, 327 (1994)

    Article  ADS  Google Scholar 

  35. Kaufman, M., Kanner, M.: Phys. Rev. B 42, 23 (1990)

    Article  Google Scholar 

  36. Branco, N.S., Bachmann, L.: Physica A 257, 319 (1998)

    Article  Google Scholar 

  37. Snowman, D.P.: Phys. Rev. E 79, 041126 (2009)

    Article  ADS  Google Scholar 

  38. Rodriguez Salmon, O.D., Tapia, J.R.: J. Phys. A, Math. Theor. 43, 125003 (2010)

    Article  ADS  Google Scholar 

  39. Glauber, R.J.: J. Math. Phys. 4, 294 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Buendia, G.M., Machado, E.: Phys. Rev. E 58, 1260 (1998)

    Article  ADS  Google Scholar 

  41. Keskin, M., Canko, O., Temizer, U.: Phys. Rev. E 72, 036125 (2005)

    Article  ADS  Google Scholar 

  42. Yadari, M.El., Benayad, M.R., Benyoussef, A., El Kenz, A.: Physica A 389, 4677 (2010)

    Article  ADS  Google Scholar 

  43. Tome, T., de Oliveira, M.J.: Phys. Rev. A 41, 4251 (1990)

    Article  ADS  Google Scholar 

  44. Acharyya, M.: Phys. Rev. E 56, 2407 (1997)

    Article  ADS  Google Scholar 

  45. Chatterjee, A., Chakrabarti, B.K.: Phys. Rev. E 67, 046113 (2003)

    Article  ADS  Google Scholar 

  46. Sides, S.W., Rikvold, P.A., Novotny, M.A.: Phys. Rev. Lett. 81, 834 (1998)

    Article  ADS  Google Scholar 

  47. Sides, S.W., Rikvold, P.A., Novotny, M.A.: Phys. Rev. E 59, 2710 (1999)

    Article  ADS  Google Scholar 

  48. Korniss, G., White, C.J., Rikvold, P.A., Novotny, M.A.: Phys. Rev. E 63, 016120 (2000)

    Article  ADS  Google Scholar 

  49. Korniss, G., Rikvold, P.A., Novotny, M.A.: Phys. Rev. E 66, 056127 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  50. Chakrabarti, B.K., Acharyya, M.: Rev. Mod. Phys. 71, 847 (1999)

    Article  ADS  Google Scholar 

  51. Tutu, H., Fujiwara, N.: J. Phys. Soc. Jpn. 73, 2680 (2004)

    Article  ADS  MATH  Google Scholar 

  52. Jiang, Q., Yang, H.N., Wang, G.C.: Phys. Rev. B 52, 14911 (1995)

    Article  ADS  Google Scholar 

  53. Jiang, Q., Yang, H.N., Wang, G.C.: J. Appl. Phys. 79, 5122 (1996)

    Article  ADS  Google Scholar 

  54. Kleemann, W., Braun, T., Dec, J., Petracic, O.: Phase Transit. 78, 811 (2005)

    Article  Google Scholar 

  55. Robb, D.T., Xu, Y.H., Hellwig, O., McCord, J., Berger, A., Novotny, M.A., Rikvold, P.A.: Phys. Rev. B 78, 134422 (2008)

    Article  ADS  Google Scholar 

  56. Janke, W.: In: Landau, D., Mon, K., Schuttler, H.B. (eds.): Computer Simulations in Condensed Matter Physics, vol. VII. Springer, Berlin (1994)

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Dokuz Eylul University, 35160, Buca, Izmir, Turkey

    Gul Gulpinar & Erol Vatansever

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  1. Gul Gulpinar
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  2. Erol Vatansever
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Correspondence to Gul Gulpinar.

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Gulpinar, G., Vatansever, E. Effects of the Quenched Random Crystal Field on the Dynamic Spin-1 Blume-Capel Model. J Stat Phys 146, 787–799 (2012). https://doi.org/10.1007/s10955-012-0423-z

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  • DOI: https://doi.org/10.1007/s10955-012-0423-z

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