Minimizing cell size dependence in micromagnetics simulations with thermal noise

Journal of Physics D: Applied Physics

Volumn 40, Issue 4, 2007, Pages 942-948

  Martinez E ^a   Lopez Diaz L ^b   Torres, L ^b   Garcia Cervera C J ^c  

^a UNIVERSITY OF BURGOS   (Spain)

^b UNIVERSITY OF SALAMANCA   (Spain)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEAVY IONS; NUMERICAL METHODS; THERMAL NOISE; THERMODYNAMIC STABILITY;

CELL SIZE DEPENDENCE; FINITE TEMPERATURE EFFECTS; MICROMAGNETICS; THERMAL FLUCTUATION FIELD;

FERROMAGNETIC MATERIALS;

EID: 33947632971     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/40/4/003     Document Type: Article

References (22)

1. See, for example Prinz G A 1998 Magnetoelectronics Science 282 1660-3
2. Koch R H, Grinstein G, Keefe G A, Lu Y, Trouilloud P L and Gallagher W J 2000 Thermally assisted magnetization reversal in submicron-sized magnetic thin films Phys. Rev. Lett. 84 5419-22
3. Martinez E, Lopez-Diaz L and Torres L 2006 Thermal activation in Permalloy nanorectangles at room temperature Physica B 372 286-9
4. Cowburn R P 2003 J. Appl. Phys. 93 9310
5. Brown W F Jr 1963 Thermal fluctuations of a single-domain particle Phys. Rev. B 130 1677-86
6. Brown W F Jr 1979 Thermal fluctuations of fine ferromagnetic particles IEEE Trans. Magn. 15 1196-208
7. Garcia-Palacios J L and Lazaro F J 1998 Langevin dynamics study of the dynamical properties of small magnetic particles Phys. Rev. B 58 14937-58
8. Martinez E, Lopez-Diaz L, Torres L and Alejos O 2003 Temperature dependence of spontaneous magnetization using a continuous model IEEE Trans. Magn. 39 2522-4
9. Rave W et al 1998 J. Magn. Magn. Mater. 183 329
10. Tsiantos V, Scholz W, Suess D, Schrefl T and Fidler J 2002 The effect of the cell size in Langevin micromagnetic simulations J. Magn. Magn. Mater. 242-245 999-1001
11. Feng X and Visscher P B 2001 Coarse-graining Landau-Lifshitz damping J. Appl. Phys. 89 6988-90
12. Grinstein G and Koch R H 2003 Coarse graining in micromagnetics Phys. Rev. Lett. 90 207201-1-4
13. Kirschner M, Schrefl T, Dorfbauer F, Hrkac G, Suess D and Fidler J 2005 Cell size corrections for nonzero-temperature micromagnetics J. Appl. Phys. 97 10E301
14. Boerner E D, Chubykalo-Fesenko O, Mryasov O N, Chantrell R W and Heinonen O 2005 Moving towards an atomic reader model IEEE Trans. Magn. 41 936-40
15. Lambert J D 1973 Computational Methods in Ordinary Differential Equations (Introductory Mathematics for Scientists and Engineers) (New York: Wiley)
16. Press W H, Teukolky S A, Watterling W T and Flannery B P 1996 Numerical Recipes in Fortran: The Art of Scientific Computing (Cambridge: Cambridge University Press)
17. Wang X P, Garcia-Cervera C J and Weinan E 2001 A Gauss-Seidel projection method for micromagnetics simulations J. Comput. Phys. 171 357-72
18. Garcia-Cervera C J and W E 2003 Improved Gauss Seidel projection method for micromagnetic simulations IEEE. Trans. Magn. 39 1766-70
19. Donahue M J and McMichael R D 1997 Exchange energy representations in computational micromagnetics Physica B 233 272-8
20. Donahue M J 1998 A variational approach to exchange energy calculations in micromagnetics J. Appl. Phys. 83 6491-3
21. Newell A J, Willians W and Dunlop D J 1993 A generalization of the demagnetizing tensor for nonuniform magnetization J. Geophys. Res. 98 9551-5
22. Kloeden P E and Platen E 1995 Numerical Solution of Stochastic Differential Equations (Applications of Mathematics vol 23) (Berlin: Springer) (Corrected 2nd printing)