PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2011 | 9 | 3 | 884-890
Tytuł artykułu

Finite-size scaling and power law relations for dipole-quadrupole interaction on Blume-Emery-Griffiths model

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Blume-Emery-Griffiths model with the dipole-quadrupole interaction ($$ \ell = \frac{I} {J} $$) has been simulated using a cellular automaton algorithm improved from the Creutz cellular automaton (CCA) on the face centered cubic (fcc) lattice. The finite-size scaling relations and the power laws of the order parameter (M) and the susceptibility (χ) are proposed for the dipole-quadrupole interaction (ℓ). The dipole-quadrupole critical exponent δχ has been estimated from the data of the order parameter (M) and the susceptibility (χ). The simulations have been done in the interval $$ 0 \leqslant \ell = \frac{I} {J}0 \leqslant 0.01 $$ for $$ d = \frac{D} {J} = 0,k = \frac{K} {J} = 0 $$ and $$ h = \frac{H} {J} = 0 $$ parameter values on a face centered cubic (fcc) lattice with periodic boundary conditions. The results indicate that the effect of the ℓ parameter is similar to the external magnetic field (h). The critical exponent δℓ are in good agreement with the universal value (δh = 5) of the external magnetic field.
Wydawca

Czasopismo
Rocznik
Tom
9
Numer
3
Strony
884-890
Opis fizyczny
Daty
wydano
2011-06-01
online
2011-02-26
Twórcy
autor
  • Fen -Edebiyat Fakültesi, Fizik Bölümü, Gazi Üniversitesi, 06500, Teknikokullar, Ankara, Turkey, aycan@gazi.edu.tr
  • Fen -Edebiyat Fakültesi, Fizik Bölümü, Gazi Üniversitesi, 06500, Teknikokullar, Ankara, Turkey, bkutlu@gazi.edu.tr
Bibliografia
  • [1] J. Lajzerowicz, J. Siverdière, Phys. Rev. A 11, 2101 (1975) http://dx.doi.org/10.1103/PhysRevA.11.2079[Crossref]
  • [2] J.L. Lebowitz, G. Gallavotti, J. Math. Phys. 12, 1129 (1971) http://dx.doi.org/10.1063/1.1665708[Crossref]
  • [3] D. Mukamel, M. Blume, Phys. Rev. A 10, 610 (1974) http://dx.doi.org/10.1103/PhysRevA.10.610[Crossref]
  • [4] S. Krinsky, D. Furman, Phys. Rev. B 11, 2602 (1975) http://dx.doi.org/10.1103/PhysRevB.11.2602[Crossref]
  • [5] Z.X. Cai, S.D. Mahanti, Phys. Rev. B 36, 6928 (1987) http://dx.doi.org/10.1103/PhysRevB.36.6928[Crossref]
  • [6] B.L. Gu, K.E. Newman, P.A. Fedders, Phys. Rev. B 35, 9135 (1987) http://dx.doi.org/10.1103/PhysRevB.35.9135[Crossref]
  • [7] B.L. Gu, J. Ni, J.L. Zhu, Phys. Rev. B 45, 4071 (1992) http://dx.doi.org/10.1103/PhysRevB.45.4071[Crossref]
  • [8] S. Lapinskas, A. Rosengren, Phys. Rev. B 49, 15190 (1994) http://dx.doi.org/10.1103/PhysRevB.49.15190[Crossref]
  • [9] J.B. Collins, P.E. Rikvold, E.T. Gawlinski, Phys. Rev. B 38, 6741 (1988) http://dx.doi.org/10.1103/PhysRevB.38.6741[Crossref]
  • [10] R. Osorio, S. Froyen, A. Zunger, Phys. Rev. B 43, 14055 (1991) http://dx.doi.org/10.1103/PhysRevB.43.14055[Crossref]
  • [11] C. Ekiz, Phys. Lett. A 332, 121 (2004) http://dx.doi.org/10.1016/j.physleta.2004.09.057[Crossref]
  • [12] A. Özkan, B. Kutlu, Int. J. Mod. Phys. B (in press)
  • [13] H. Demirel, A. Özkan, B. Kutlu, Chinese Phys. Lett. 25, 2599 (2008) http://dx.doi.org/10.1088/0256-307X/25/7/073[Crossref]
  • [14] A. Maritan, M. Cieplak, M.R. Swift, F. Toigo, J.R. Banavar, Phys. Rev. Lett. 69, 221 (1992) http://dx.doi.org/10.1103/PhysRevLett.69.221[Crossref]
  • [15] N.S. Branco, Phys. Rev. B 60, 1033 (1999) http://dx.doi.org/10.1103/PhysRevB.60.1033[Crossref]
  • [16] M. Blume, V.J. Emery, R.B. Griffiths, Phys. Rev. A 4, 1071 (1971) http://dx.doi.org/10.1103/PhysRevA.4.1071[Crossref]
  • [17] D. Mukamel, M. Blume, Phys. Rev. A 10, 610 (1974) http://dx.doi.org/10.1103/PhysRevA.10.610[Crossref]
  • [18] M. Ausloos, P. Clippe, J.M. Kowalski, A. Pekalski, Phys. Rev. A 22, 2218 (1980) http://dx.doi.org/10.1103/PhysRevA.22.2218[Crossref]
  • [19] M. Ausloos, P. Clippe, J.M. Kowalski, A. Pekalski, IEEE Trans. Magn. 16, 233 (1980) http://dx.doi.org/10.1109/TMAG.1980.1060593[Crossref]
  • [20] M. Ausloos, P. Clippe, J.M. Kowalski, J. Pekalska, A. Pekalski, Phys. Rev. A 28, 3080 (1983) http://dx.doi.org/10.1103/PhysRevA.28.3080[Crossref]
  • [21] M. Droz, M. Ausloos, J.D. Gunton, Phys. Rev. A 18, 388 (1978)
  • [22] M. Ausloos, P. Clippe, J.M. Kowalski, J. Pekalska, A. Pekalski, J. Magn. Magn. Mater. 39, 21 (1983) http://dx.doi.org/10.1016/0304-8853(83)90388-8[Crossref]
  • [23] J. Lajzerowicz, J. Siverdière, Phys. Rev. A 11, 2090 (1975) http://dx.doi.org/10.1103/PhysRevA.11.2079[Crossref]
  • [24] M. Schick, W.H. Shih, Phys. Rev. B 34, 1797 (1986) http://dx.doi.org/10.1103/PhysRevB.34.1797[Crossref]
  • [25] K.E. Newman, J.D. Dow, Phys. Rev. B 27, 7495 (1983) http://dx.doi.org/10.1103/PhysRevB.27.7495[Crossref]
  • [26] I.D. Lawrie, S. Sarbach, Phase transitions and Critical Phenomena Vol. 9 (Academic Press, New York, 1984)
  • [27] M. Kessler, W. Dieterich, A. Majhofer, Phys. Rev. B 67, 134201 (2003) http://dx.doi.org/10.1103/PhysRevB.67.134201[Crossref]
  • [28] D.M. Saul, M. Wortis, D. Stauffer, Phys. Rev. B 9, 4964 (1974) http://dx.doi.org/10.1103/PhysRevB.9.4964[Crossref]
  • [29] D.P. Landau, R.H. Swendsen, Phys. Rev. Lett. 46, 1437 (1980) http://dx.doi.org/10.1103/PhysRevLett.46.1437[Crossref]
  • [30] T.S. Chang, G.F. Tuthill, H.E. Stanley, Phys. Rev. B 9, 4882 (1974) http://dx.doi.org/10.1103/PhysRevB.9.4882[Crossref]
  • [31] H.J. Herrmann, Z. Phys. B Con. Mat. 35, 171 (1979)
  • [32] A. Özkan, B. Kutlu, Int. J. Mod. Phys. C 18, 1417 (2007) http://dx.doi.org/10.1142/S012918310701142X[Crossref]
  • [33] A. Özkan, B. Kutlu, Int. J. Mod. Phys. C 20, 1617 (2009) http://dx.doi.org/10.1142/S0129183109014631[Crossref]
  • [34] A. Özkan, N. Seferoğlu, B. Kutlu, Physica A 362, 327 (2006) http://dx.doi.org/10.1016/j.physa.2005.08.065[Crossref]
  • [35] M. Creutz, Ann. Phys.-New York 167, 62 (1986) http://dx.doi.org/10.1016/S0003-4916(86)80006-9[Crossref]
  • [36] K. Saito, S. Takesue, S. Miyashita, Phys. Rev. E 59, 2783 (1999) http://dx.doi.org/10.1103/PhysRevE.59.2783[Crossref]
  • [37] T.M. Gwizdalla, Czech. J. Phys. 54, 679 (2004) http://dx.doi.org/10.1007/s10582-004-0172-6[Crossref]
  • [38] B. Kutlu, M. Kasap, S. Turan, Int. J. Mod. Phys. C 11, 561 (2000)
  • [39] K. Huang, Statistical Mechanics (John Wiley & Sons, Canada, 1987) 396
  • [40] A.N. Berker, M. Wortis, Phys. Rev. B 14, 4946 (1976) http://dx.doi.org/10.1103/PhysRevB.14.4946[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0081-1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.