Nucleation and stability of ferromagnetic states

Journal of Geophysical Research: Solid Earth

Volumn 105, Issue B8, 2000, Pages 19377-19391

  Newell, Andrew J ^a,b   Merrill, Ronald T ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC MINERAL; MAGNETIC PROPERTY; NUCLEATION;

EID: 0006741782     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2000jb900121     Document Type: Article

References (54)

1. Aharoni, A., Some recent developments in micromagnetics at the Weizmann Institute of Science, J. Appl. Phys., 30, 70S-78S, 1959.
2. Aharoni, A., Magnetization curling, Phys. Status Solidi, 16, 1-42, 1966.
3. Aharoni, A., Introduction to the Theory of Ferromagnetism, 315 pp., Oxford Univ. Press, New York, 1996.
4. Aharoni, A., Nucleation modes in ferromagnetic prolate spheroids, J. Phys.: Condens. Matter, 9, 10,009-10,021, 1997a.
5. Aharoni, A., Angular dependence of nucleation by curling in a prolate spheroid, J. Appl. Phys., 82, 1281-1287, 1997b.
6. Aharoni, A., and J. P. Jakubovics, Field-induced magnetization structure in small isotropic spheres, IEEE Trans. Magn., 32, 4463-4468, 1996.
7. Banerjee, S. K., On the origin of stable remanence in pseudosingle-domain grains, J. Geomagn. Geoelectr., 29, 319-329, 1977.
8. Decker, J. J., A model for the field dependence of magnetization discontinuities in high-anisotropy materials, IEEE Trans. Magn., 9, 161-167, 1973.
9. Berkov, D. V., K. Ramstöck, and A. Hubert, Solving micromagnetic problems: Towards an optimal numerical method, Phys. Status Solidi A, 137, 207-225, 1993.
10. Brown, W. F., Jr., Virtues and weaknesses of the domain concept, Rev. Mod. Phys., 17, 15-19, 1945.
11. Brown, W. F., Jr., Criterion for uniform magnetization, Phys. Rev., 105, 1479-1482, 1957.
12. Brown, W. F., Jr., Nucleation fields of an infinitely long square ferromagnetic prism, J. Appl. Phys., 33, 3026-3031, 1962.
13. Brown, W. F., Jr., Micromagnetics, 143 pp., Interscience, New York, 1963. (Reprinted by Krieger, New York, 1978.)
14. Brown, W. F., Jr., The fundamental theorem of fine-ferromagnetic-particle theory, J. Appl. Phys., 30, 993-994, 1968.
15. Chen, W., and D. R. Fredkin, Magnetization reversal in spherical particles, J. Appl. Phys., 67, 4508, 1990.
16. Dunlop, D. J., The hunting of the 'Psark', J. Geomagn. Geoelectr., 29, 293-318, 1977.
17. Dunlop, D. J., and O. Özdemir, Rock Magnetism: Fundamentals and Frontiers, 573 pp., Cambridge Univ. Press, New York, 1997.
18. Dunlop, D. J., A. J. Newell, and R. J. Enkin, Transdomain thermoremanent magnetization, J. Geophys. Res., 99, 19,741-19,755, 1994.
19. Enkin, R. J., and D. J. Dunlop, A micromagnetic study of pseudo single-domain remanence in magnetite, J. Geophys. Res., 92, 12,726-12,740, 1987.
20. Enkin, R. J., and W. Williams, Three-dimensional micromagnetic analysis of stability in fine magnetic grains, J. Geophys. Res., 99, 611-618, 1994.
21. Fabian, K., A. Kirchner, W. Williams, F. Heider, A. Hubert, and T. Leibl, Three-dimensional micromagnetic calculations for magnetite using FFT, Geophys. J. Int., 124, 89-104, 1996.
22. Fredkin, D. R., and T. R. Koehler, Ab initio micromagnetic calculations for particles, J. Appl. Phys., 67, 5544-5548, 1990.
23. Halgedahl, S., and M. Fuller, Magnetic domain observations of nucleation processes in fine particles of intermediate titanomagnetite, Nature, 288, 70-72, 1980.
24. Halgedahl, S., and M. Fuller, The dependence of magnetic domain structure upon magnetization state with emphasis upon nucleation as a mechanism for pseudo-single-domain behavior, J. Geophys. Res., 88, 6505-6522, 1983.
25. Halgedahl, S. L., Magnetic domain patterns observed on synthetic Ti-rich titanomagnetite as a function of temperature and in states of thermoremanent magnetization, J. Geophys. Res., 96, 3943-3972, 1991.
26. Hubert, A., and W. Rave, Systematic analysis of micromagnetic switching processes, Phys. Status Solidi B, 211, 815-829, 1999.
27. Hubert, A., and R. Schäfer, Magnetic Domains: The Analysis of Microstructures, Springer-Verlag, New York, 1998.
28. Iooss, G., and D. D. Joseph, Elementary Stability and Bifurcation Theory, 324 pp., 2nd ed., Springer-Verlag, New York, 1990.
29. Kobayashi, K., and M. Fuller, Stable remanence and memory of multi-domain materials with special reference to magnetite, Philos. Mag., 18, 601-624, 1968.
30. Landau, L. D., and E. M. Lifshitz, Statistical Physics, 3rd ed., Pergamon, New York, 1980.
31. Moon, T., and R. T. Merrill, The magnetic moments of nonuniformly magnetized grains, Phys. Earth Planet. Inter., 34, 186-194, 1984.
32. Moon, T. S., and R. T. Merrill, Nucleation theory and domain states in multidomain magnetic material, Phys. Earth Planet. Inter., 37, 214-222, 1985.
33. Newell, A. J., Theoretical calculations of magnetic hysteresis and critical sizes for transitions between single-domain and multi-domain properties in titanomagnetites, 188 pp., Ph.D. thesis, Univ. of Wash., Seattle, 1997.
34. Newell, A. J., and R. T. Merrill, The curling nucleation mode in a ferromagnetic cube, J. Appl. Phys., 84, 4394-4402, 1998.
35. Newell, A. J., and R. T. Merrill, Single-domain critical sizes for coercivity and remanence, J. Geophys. Res., 104, 617-628, 1999.
36. Newell, A. J., and R. T. Merrill, Size dependence of hysteresis properties of small pseudo-single-domain grains, J. Geophys. Res., this issue.
37. Newell, A. J., D. J. Dunlop, and W. Williams, A two-dimensional micromagnetic model of magnetizations and fields in magnetite, J. Geophys. Res., 98, 9533-9550, 1993a.
38. Newell, A. J., W. Williams, and D. J. Dunlop, A generalization of the demagnetizing tensor for nonuniform magnetization, J. Geophys. Res., 98, 9551-9556, 1993b.
39. Nicolis, G., and I. Prigogine, Exploring Complexity, 313 pp., W.H. Freeman, New York, 1989.
40. O'Barr, R. A., Quantitative measurements of the micromagnetic behavior of single-domain ferromagnetic particles, Ph.D. thesis, Univ. of Calif., San Diego, 1997.
41. Powell, M. J. D., Restart procedures for the conjugate gradient method, Math. Program., 12, 241-254, 1977.
42. Pu, F., B. Li, and B. Han, Continuous and discontinuous changes of the magnetization distribution in ferromagnets, J. Magn. Magn. Mater., 59, 235-242, 1986.
43. Rave, W., K. Fabian, and A. Hubert, Magnetic states of small cubic particles with uniaxial anisotropy, J. Magn. Magn. Mater., 190, 332-348, 1998.
44. Schabes, M. E., Micromagnetic theory of non-uniform magnetization processes in magnetic recording particles, J. Magn. Magn. Mater., 95, 249-288, 1991.
45. Schabes, M. E., and H. N. Bertram, Magnetization processes in ferromagnetic cubes, J. Appl. Phys., 64, 1347-1357, 1988.
46. Stacey, F. D., The physical theory of rock magnetism, Adv. Phys., 12, 45-133, 1963.
47. Stoner, E. C., and E. P. Wohlfarth, A mechanism of magnetic hysteresis in heterogeneous alloys, Phil. Trans. R. Soc. London, Ser. A, 240, 599-642, 1947.
48. Tauxe, L., T. A. T. Mullender, and T. Pick, Potbellies, wasp-waists, and superparamagnetism in magnetic hysteresis, J. Geophys. Res., 101, 571-583, 1996.
49. Thomson, L. C., R. J. Enkin, and W. Williams, Simulated annealing of three-dimensional micromagnetic structures and simulated thermoremanent magnetization, J. Geophys. Res., 99, 603-609, 1994.
50. Verhoogen, J., The origin of thermoremanent magnetization, J. Geophys. Res., 64, 2441-2449, 1959.
51. Yerosub, K. L., and A. P. Roberts, Environmental magnetism: Past, Present and Future, J. Geophys. Res., 100, 2175-2192, 1995.
52. Williams, W., and D. J. Dunlop, Three-dimensional micromagnetic modelling of ferromagnetic domain structure, Nature, 337, 634-637, 1989.
53. Williams, W., and D. J. Dunlop, Simulation of magnetic hysteresis in pseudo-single-domain grains of magnetite, J. Geophys. Res., 100, 3859-3871, 1995.
54. Williams, W., and T. M. Wright, High-resolution micromagnetic models of fine grains of magnetite, J. Geophys. Res., 103, 30,537-30,550, 1998.