The random dipolar-field approximation for systems of interacting magnetic particles

Journal of Applied Physics

Volumn 113, Issue 16, 2013, Pages

  Landi, Gabriel T ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CUMULANT EXPANSION; DIPOLAR INTERACTION; FERROMAGNETIC STATE; INTERACTING MAGNETIC PARTICLES; MEAN FIELD APPROXIMATION; MODERATE CONCENTRATION; REFERENCE PARTICLES; STATISTICAL MOMENTS;

FREE ENERGY; MAGNETIC MOMENTS; TIMING JITTER;

RELAXATION TIME;

EID: 84877288438     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4802583     Document Type: Article

References (68)

1. C. Bean and I. Jacobs, J. Appl. Phys. 27, 1448 (1956). 10.1063/1.1722287
2. L. Néel, Ann. Geophys. 5, 99 (1949).
3. E. C. Stoner and E. P. Wohlfarth, IEEE Trans. Magn 27, 3475 (1991). 10.1109/TMAG.1991.1183750
4. W. F. Brown, Phys. Rev. 130, 1677 (1963). 10.1103/PhysRev.130.1677
5. Q. A. Pankhurst, N. K. T. Thanh, S. K. Jones, and J. Dobson, J. Phys. D: Appl. Phys. 42, 224001 (2009). 10.1088/0022-3727/42/22/224001
6. B. Mehdaoui, J. Carrey, M. Stadler, A. Cornejo, C. Nayral, F. Delpech, B. Chaudret, and M. Respaud, Appl. Phys. Lett. 100, 052403 (2012). 10.1063/1.3681361
7. R. K. Gilchrist, R. Medal, W. D. Shorey, R. C. Hanselman, J. C. Parrott, and C. B. Taylor, Ann. Surg. 146, 596 (1957). 10.1097/00000658-195710000-00007
8. W. T. Coffey and Y. P. Kalmykov, J. Appl. Phys. 112, 121301 (2012). 10.1063/1.4754272
9. W. T. Coffey, Y. P. Kalmykov, and J. T. Waldron, The Langevin Equation. With Applications to Stochastic Problems in Physics, Chemistry, and Electrical Engineering, 2nd ed. (World Scientific Publishing Co, Pte. Ltd., Singapore, 2004), p. 678.
10. W. T. Coffey, J. Magn. Magn. Mater. 131, L301 (1994); 10.1016/0304-8853(94)90272-0
11. W. T. Coffey, D. S. F. Crothers, Y. P. Kalmykov, E. S. Massawe, and J. T. Waldron, Phys. Rev. E 49, 1869 (1994); 10.1103/PhysRevE.49.1869
12. W. T. Coffey, D. S. F. Crothers, Y. P. Kalmykov, and S. V. Titov, Phys. Rev. B 64, 012411 (2001); 10.1103/PhysRevB.64.012411
13. W. T. Coffey, D. Crothers, Y. P. Kalmykov, and P. Déjardin, Phys. Rev. E 71, 062102 (2005); 10.1103/PhysRevE.71.062102
14. W. T. Coffey, D. Crothers, J. Dormann, Y. P. Kalmykov, E. Kennedy, and W. Wernsdorfer, Phys. Rev. Lett. 80, 5655 (1998); 10.1103/PhysRevLett.80.5655
15. W. T. Coffey, P.-M. Déjardin, and Y. P. Kalmykov, Phys. Rev. B 79, 054401 (2009); 10.1103/PhysRevB.79.054401
16. Y. P. Kalmykov, W. T. Coffey, U. Atxitia, O. Chubykalo-Fesenko, P.-M. Déjardin, and R. W. Chantrell, Phys. Rev. B 82, 024412 (2010). 10.1103/PhysRevB.82.024412
17. D. A. Garanin and O. Chubykalo-Fesenko, Phys. Rev. B 70, 212409 (2004). 10.1103/PhysRevB.70.212409
18. J. L. Garcia-Palacios and D. A. Garanin, Phys. Rev. B 70, 064415 (2004); 10.1103/PhysRevB.70.064415
19. J. L. Garcia-Palacios and P. Svedlindh, Phys. Rev. Lett. 85, 3724 (2000); 10.1103/PhysRevLett.85.3724
20. J. L. García-Palacios and F. J. Lázaro, Phys. Rev. B 58, 14937 (1998). 10.1103/PhysRevB.58.14937
21. Y. P. Kalmykov and S. Titov, Phys. Rev. Lett. 82, 2967 (1999). 10.1103/PhysRevLett.82.2967
22. A. Lyberatos and R. W. Chantrell, J. Appl. Phys. 73, 6501 (1993); 10.1063/1.352594
23. U. Nowak, O. Mryasov, R. Wieser, K. Guslienko, and R. W. Chantrell, Phys. Rev. B 72, 172410 (2005). 10.1103/PhysRevB.72.172410
24. I. S. Poperechny, Y. L. Raikher, and V. I. Stepanov, Phys. Rev. B 82, 174423 (2010); 10.1103/PhysRevB.82.174423
25. Y. L. Raikher and V. I. Stepanov, J. Magn. Magn. Mater. 320, 2692 (2008); 10.1016/j.jmmm.2008.05.041
26. Y. L. Raikher and V. I. Stepanov, J. Exp. Theor. Phys. 107, 435 (2008). 10.1134/S1063776108090112
27. N. A. Usov, J. Appl. Phys. 107, 123909 (2010); 10.1063/1.3445879
28. N. A. Usov and Y. B. Grebenshchikov, J. Appl. Phys. 105, 043904 (2009); 10.1063/1.3078174
29. N. A. Usov and Y. B. Grebenshchikov, J. Appl. Phys. 106, 023917 (2009). 10.1063/1.3173280
30. S. V. Titov, P.-M. Déjardin, H. El Mrabti, and Y. P. Kalmykov, Phys. Rev. B 82, 100413(R) (2010); 10.1103/PhysRevB.82.100413
31. S. Titov, H. Kachkachi, Y. P. Kalmykov, and W. T. Coffey, Phys. Rev. B 72, 134425 (2005); 10.1103/PhysRevB.72.134425
32. P. M. Déjardin, Y. P. Kalmykov, B. E. Kashevsky, H. El Mrabti, I. S. Poperechny, Y. L. Raikher, and S. V. Titov, J. Appl. Phys. 107, 073914 (2010); 10.1063/1.3359722
33. H. E. Mrabti, S. V. Titov, P.-M. Déjardin, and Y. P. Kalmykov, J. Appl. Phys. 110, 023901 (2011). 10.1063/1.3605536
34. G. T. Landi, J. Appl. Phys. 111, 043901 (2012); 10.1063/1.3684629
35. G. T. Landi, J. Magn. Magn. Mater. 324, 466 (2012); 10.1016/j.jmmm.2011. 08.022
36. G. T. Landi and A. F. Bakuzis, J. Appl. Phys. 111, 083915 (2012); 10.1063/1.4705392
37. G. T. Landi and A. D. Santos, J. Appl. Phys. 111, 07D121 (2012); 10.1063/1.3676416
38. G. Landi, J. Magn. Magn. Mater. 326, 14 (2013). 10.1016/j.jmmm.2012.08. 034
39. E. L. Verde, G. T. Landi, J. A. Gomes, M. H. Sousa, and A. F. Bakuzis, J. Appl. Phys. 111, 123902 (2012); 10.1063/1.4729271
40. E. L. Verde, G. T. Landi, C. A. S. M, A. L. Drummond, J. A. Gomes, E. D. Vieira, M. H. Sousa, and A. F. Bakuzis, AIP Adv. 2, 032120 (2012). 10.1063/1.4739533
41. J. L. Dormann, F. DOrazio, F. Lucari, E. Tronc, P. Prené, J. P. Jolivet, D. Fiorani, R. Cherkaoui, and M. Noguès, Phys. Rev. B 53, 14291 (1996). 10.1103/PhysRevB.53.14291
42. S. H. Masunaga, R. F. Jardim, R. S. Freitas, and J. Rivas, Appl. Phys. Lett. 98, 013110 (2011). 10.1063/1.3533911
43. S. H. Masunaga, R. F. Jardim, and J. Rivas, Phys. Rev. B 80, 184428 (2009). 10.1103/PhysRevB.80.184428
44. A. Urtizberea, A. Arizaga, N. J. O. Silva, A. Millan, F. Palacio, and F. Luis, J. Appl. Phys. 111, 093910 (2012). 10.1063/1.4709725
45. J. Sung Lee, R. P. Tan, J. H. Wu, and Y. K. Kim, Appl. Phys. Lett. 99, 062506 (2011). 10.1063/1.3624833
46. T. Jonsson, J. Mattsson, C. Djurberg, F. A. Khan, P. Nordblad, and P. Svedlindh, Phys. Rev. Lett. 75, 4138 (1995). 10.1103/PhysRevLett.75.4138
47. S. Bedanta and W. Kleemann, J. Phys. D: Appl. Phys. 42, 013001 (2009). 10.1088/0022-3727/42/1/013001
48. N. Hayashi, K. Saito, and Y. Nakatani, Jpn. J. Appl. Phys. 35, 6065 (1996). 10.1143/JJAP.35.6065
49. L. Greengard and V. Rokhlin, J. Comput. Phys. 73, 325 (1987). 10.1016/0021-9991(87)90140-9
50. C. Phatak, R. Pokharel, M. Beleggia, and M. De Graef, J. Magn. Magn. Mater. 323, 2912 (2011). 10.1016/j.jmmm.2011.06.058
51. V. Russier, C. de Montferrand, Y. Lalatonne, and L. Motte, J. Appl. Phys. 112, 073926 (2012). 10.1063/1.4757418
52. D. Kechrakos and K. Trohidou, J. Magn. Magn. Mater. 177-181, 943 (1998). 10.1016/S0304-8853(97)00762-2
53. Z. Mao, D. Chen, and Z. He, J. Magn. Magn. Mater. 320, 2335 (2008). 10.1016/j.jmmm.2008.04.118
54. Z. Wang, C. Holm, and H. W. Müller, Phys. Rev. E 66, 021405 (2002). 10.1103/PhysRevE.66.021405
55. L. Kaganovskiy, D. Litvinov, S. Khizroev, and S. Wilcox, J. Appl. Phys. 110, 043901 (2011). 10.1063/1.3624619
56. P. Melenev, Y. L. Raikher, V. Rusakov, and R. Perzynski, Phys. Rev. B 86, 104423 (2012). 10.1103/PhysRevB.86.104423
57. P. Jönsson and J. García-Palacios, Phys. Rev. B 64, 174416 (2001); 10.1103/PhysRevB.64.174416
58. P. Jönsson, J. García-Palacios, M. Hansen, and P. Nordblad, J. Mol. Liq. 114, 131 (2004). 10.1016/j.molliq.2004.02.010
59. M. Azeggagh and H. Kachkachi, Phys. Rev. B 75, 174410 (2007); 10.1103/PhysRevB.75.174410
60. H. Kachkachi and M. Azeggagh, Eur. Phys. J. B 44, 299 (2005). 10.1140/epjb/e2005-00129-0
61. H. Kramers, Physica 7, 284 (1940). 10.1016/S0031-8914(40)90098-2
62. S. Shtrikman and E. Wohlfarth, Phys. Lett. A 85, 467 (1981). 10.1016/0375-9601(81)90441-2
63. R. W. Chantrell and E. Wohlfarth, J. Magn. Magn. Mater. 40, 1 (1983). 10.1016/0304-8853(83)90002-1
64. B. U. Felderhof and R. B. Jones, J. Phys.: Condens. Matter 15, 4011 (2003). 10.1088/0953-8984/15/23/313
65. P.-M. Dejardin, J. Appl. Phys. 110, 113921 (2011). 10.1063/1.3665886
66. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 3rd ed. (Cambridge University Press, New York, 2007).
67. V. Lebedev, USSR Comput. Math. Math. Phys. 15, 44 (1975). 10.1016/0041-5553(75)90133-0
68. T. Jonsson, J. Mattsson, P. Nordblad, and P. Svedlindh, J. Magn. Magn. Mater. 168, 269 (1997). 10.1016/S0304-8853(96)00710-X