Critical behaviors of the sound attenuation in a spin-1 Ising model

Journal of Chemical Physics

Volumn 118, Issue 13, 2003, Pages 5947-5954

  Keskin, Mustafa ^a   Erdem, Riza ^b  

^a ERCIYES UNIVERSITY   (Turkey)

^b GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; HYDRODYNAMICS; MATHEMATICAL MODELS; PHASE TRANSITIONS; RELAXATION PROCESSES; THERMAL EFFECTS; THERMODYNAMIC PROPERTIES; ULTRASONIC WAVES;

CRITICAL BEHAVIORS; ONSAGER THEORY; SOUND ATTENUATION; SPIN ISING MODEL;

MOLECULAR DYNAMICS;

EID: 0037398250     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1555831     Document Type: Article

References (79)

1. B. Lüthi, T. J. Moran, and R. J. Pollina, J. Phys. Chem. Solids 31, 1741 (1970).
2. M. Barmatz and I. Rudnick, Phys. Rev. 170, 224 (1968)
3. R. D. Williams and I. Rudnick, Phys. Rev. Lett. 25, 276 (1970).
4. F. Vidal, Phys. Lett. A 92, 89 (1982)
5. A. Ishihara, Phys. Rev. B 40, 698 (1989).
6. C. W. Garland and C. F. Yarnell, J. Chem. Phys. 44, 3678 (1966).
7. M. J. Nolan, Phys. Rev. B 18, 6334 (1978)
8. D. M. Kroll and J. M. Ruthland, Phys. Lett. A 80, 45 (1980).
9. S. Bhattacharya, B. K. Sarma, and J. B. Ketterson, Phys. Rev. B 23, 2397 (1981).
10. X. D. Shi, R. C. Yu, Z. Z. Wang, N. P. Ong, and P. H. Chaikin Phys. Rev. B 39, 827 (1989)
11. H. Bahlouli, ibid. 40, 6538 (1989).
12. C. K. Jones, P. G. Klemens, and J. A. Rayne, Phys. Lett. 8, 31 (1964).
13. M. V. Haumeder, U. Storm, and S. Hunklinger, Phys. Rev. Lett. 44, 84 (1980).
14. T. C. Zhu, H. J. Maris, and J. Tauc, Phys. Rev. B 44, 4281 (1991)
15. J. Fabian and P. B. Allen, Phys. Rev. Lett. 82, 1478 (1999).
16. F. S. Khan and P. B. Allen, Phys. Rev. B 35, 1002 (1987).
17. T. Ishii, J. Phys. Soc. Jpn. 63, 3008 (1994).
18. G. Gompper and M. Hennes, Europhys. Lett. 25, 193 (1994).
19. T. Hatakeyama and Y. Kagawa, J. Chem. Phys. 65, 4128 (1976).
20. S. J. Fast and S. S. Yun, J. Chem. Phys. 83, 5888 (1985)
21. I. R. Abdelraziq, S. S. Yun, and F. B. Stumpf, J. Acoust. Soc. Am. 88, 1831 (1990).
22. H. G. E. Hentschel and I. Procaccia, J. Chem. Phys. 76, 666 (1982).
23. K. Tani and H. Mori, Phys. Lett. 19, 627 (1966)
24. H. Okamoto and K. Nagano, J. Phys. Soc. Jpn. 40, 1783 (1976).
25. B. Lüthi and R. J. Pollina, Phys. Rev. Lett. 22, 717 (1969).
26. A. Bachellerie, Solid State Commun. 8, 1059 (1970).
27. A. Ikushima and R. Feigelson, J. Phys. Chem. Solids 32, 417 (1971).
28. T. J. Moran and B. Lüthi, Phys. Rev. B 4, 122 (1971).
29. T. Jimbo and C. Elbaum, Phys. Rev. Lett. 28, 1393 (1972).
30. A. Bachellerie, J. Joffrin, and A. Levelut, Phys. Rev. Lett. 30, 617 (1973).
31. Y. Itoh, J. Phys. Soc. Jpn. 38, 336 (1975).
32. S. Maekawa and M. Tachiki, Phys. Rev. B 18, 3736 (1978).
33. A. Pawlak and B. Fechner, Phys. Rev. B 40, 9324 (1989)
34. A. Pawlak, J. Phys.: Condens. Matter 1, 7989 (1989)
35. A. Pawlak, Acta Phys. Pol. A 85, 385 (1994)
36. A. Pawlak, Eur. Phys. J. B 4, 179 (1998).
37. A. Bachellerie and C. Frenois, J. Phys. (France) 35, 437 (1974).
38. L. Onsager, Phys. Rev. 37, 405 (1931)
39. L. Onsager, Phys. Rev. 38, 2265 (1931).
40. T. Tanaka, P. H. E. Meijer, and J. H. Barry, J. Chem. Phys. 37, 1397 (1962).
41. R. Erdem and M. Keskin, Phys. Lett. A 291, 159 (2001).
42. R. Erdem and M. Keskin, Phys. Status Solidi B 225, 145 (2001)
43. R. Erdem and M. Keskin, Phys. Rev. E 64, 026102 (2001)
44. M. Keskin and R. Erdem, Phys. Lett. A 27, 427 (2002).
45. M. Blume, V. J. Emery, and R. B. Griffiths, Phys. Rev. A 4, 1071 (1971).
46. A. Hintermann and F. Rys, Helv. Phys. Acta 42, 608 (1969)
47. J. Bernasconi and F. Rys, Phys. Rev. B 4, 3045 (1971).
48. L. Lajzerowicz and J. Sivardière, Phys. Rev. A 11, 2079 (1975)
49. J. Sivardière and L. Lajzerowicz, Phys. Rev. A 11, 2090 (1975)
50. J. Sivardière and L. Lajzerowicz, Phys. Rev. A 11, 2101 (1975).
51. M. Schick and W. H. Shih, Phys. Rev. B 34, 1797 (1986)
52. M. Schick and W. H. Shih, Phys. Rev. Lett. 59, 1205 (1987)
53. G. Gompper and M. Schick, Phys. Rev. B 41, 9148 (1990).
54. K. G. Chakraborty, J. Phys. C 21, 2991 (1986)
55. R. R. Netz, Europhys. Lett. 17, 373 (1992).
56. A. Lopatnikova and A. N. Berker, Phys. Rev. B 56, 11865 (1997).
57. M. Keskin and Ş. Özgan, Phys. Lett. A 145, 340 (1990)
58. M. Keskin, C. Ekiz, and O. Yalçin, Physica A 267, 392 (1999)
59. M. Keskin, C. Ekiz, and O. Yalçin, J. Chem. Phys. 113, 5407 (2000).
60. M. Tanaka and K. Takahashi, J. Phys. Soc. Jpn. 43, 1832 (1977).
61. T. Obokata, J. Phys. Soc. Jpn. 26, 895 (1969)
62. G. L. Batten and H. L. Lemberg, J. Chem. Phys. 70, 2934 (1979)
63. Y. Achiam, Phys. Rev. B 31, 260 (1985)
64. M. Tanaka and T. Imaeda, J. Phys. Soc. Jpn. 4, 3045 (1971).
65. H. H. Chen and P. M. Levy, Phys. Rev. B 4, 3045 (1971).
66. M. Keskin, M. Ari, and Ş. Özgan, Tr. J. Phys. 15, 575 (1991)
67. M. Keskin, Phys. Scr. 47, 328 (1993)
68. M. Keskin and A. Erdinç, Tr. J. Phys. 19, 88 (1995)
69. M. Keskin and H. Arslan, ibid. 19, 408 (1995)
70. M. Keskin and H. Arslan, J. Magn. Magn. Mater. 146, L247 (1995)
71. C. Temirci, A. Kökçe, and M. Keskin, Physica A 231, 673 (1996).
72. M. Keskin and P. H. E. Meijer, Physica A 122, 1 (1983)
73. M. Keskin, ibid. 135, 226 (1986)
74. M. Keskin and P. H. E. Meijer, J. Chem. Phys. 85, 7324 (1986)
75. M. Keskin, M. Ari, and P. H. E. Meijer, Physica A 157, 1000 (1989)
76. M. Keskin and R. Erdem, J. Stat. Phys. 89, 1035 (1997).
77. M. Tanaka and I. Mannari, J. Phys. Soc. Jpn. 41, 741 (1976).
78. L. D. Landau and I. M. Khalatnikov, Dokl. Akad. Nauk SSSR 96, 469 (1954).
79. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, New York, 1971).