Coarse graining in micromagnetics

Physical Review Letters

Volumn 90, Issue 20, 2003, Pages

  Grinstein, G ^a   Koch, R H ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; LOW TEMPERATURE EFFECTS; MAGNETIC FIELD EFFECTS; MAGNETIC MOMENTS; MAGNETIC VARIABLES MEASUREMENT; MAGNETIZATION;

COARSE GRAINING; LANDAU-LIFSHITZ-GILBERT EQUATIONS; MICROMAGNETICS; STRATONOVICH INTERPRETATION;

MAGNETIC MATERIALS;

EID: 0038804008     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. D. Weller and A. Moser, IEEE Trans. Magn. 35, 4423 (1999)
2. L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 8 153 (1935)
3. R. L. Conger and F. C. Essig, Phys. Rev. 104, 915 (1956)
4. T. L. Gilbert, Phys. Rev. 100, 1243 (1955)
5. W. F. Brown, Phys. Rev. 130, 1677 (1963)
6. Proceedings of the 44th Annual Conference on Magnetism and Magnetic Materials, San Jose, CA, 1999 [J. Appl. Phys. 87, 6639 (2000)]
7. E. Brézin, and J. Zinn-Justin, Phys. Rev. Lett. 36, 691 (1976)
8. E. Brézin and J. Zinn-Justin, Phys. Rev. B 14, 3110 (1976)
9. D. R. Nelson and R. A. Pelcovits, Phys. Rev. B 16, 2191 (1977).
10. Implicitly assumed in Eq. (1) is a high-wave number (short-distance) cutoff to control ultraviolet divergences.
11. Equation (1) reaches a stationary Boltzmann distribution only under the so-called "Stratonovich interpretation" [R. L. Stratonovich, SIAM J. Control 4, 362 (1996)] of the "multiplicative" noise term.
12. K. G. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974)
13. A. Aharony and M. E. Fisher, Phys. Rev. B 8 3323 (1973)
14. R. A. Pelcovits and B. I. Halperin, Phys. Rev. B 19, 4614 (1979)
15. T. Niemeijer and J. M. J. van Leeuwen, Phys. Rev. Lett. 31, 1411 (1973)