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- 1
-
A. Aharoni, Introduction to the Theory of Ferromagnetism (Oxford, New
York, 1996).
- 2
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A. Aharoni, ``Demagnetizing factors for rectangular ferromagnetic
prisms,'' J. App. Phys., 83, 3432-3434 (1998).
- 3
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D. V. Berkov, K. Ramstöck, and A. Hubert, ``Solving micromagnetic
problems: Towards an optimal numerical method,'' Phys. Stat. Sol. (a), 137, 207-222 (1993).
- 4
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W. F. Brown, Jr., ``Theory of the approach to magnetic saturation,''
Physical Review, 58, 736-743 (1940).
- 5
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W. F. Brown, Jr., Micromagnetics (J. Wiley, New York, 1963).
- 6
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M. J. Donahue and R. D. McMichael, ``Exchange energy representations in
computational micromagnetics,'' Physica B, 233, 272-278
(1997).
- 7
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M. J. Donahue and D. G. Porter, OOMMF User's Guide, Version 1.0, Tech.
Rep. NISTIR 6376, National Institute of Standards and Technology,
Gaithersburg, MD (1999).
- 8
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J. R. Dormand and P. J. Prince, ``A family of embedded Runge-Kutta
formulae,'' J. Comp. Appl. Math., 6, 19-26 (1980).
- 9
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J. R. Dormand and P. J. Prince, ``A reconsideration of some embedded
Runge-Kutta formulae,'' J. Comp. Appl. Math., 15,
203-211 (1986).
- 10
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J. Fidler and T. Schrefl, ``Micromagnetic modelling -- the current
state of the art,'' J. Phys. D: Appl. Phys., 33, R135-R156
(2000).
- 11
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L. Garcia-Palacios and F. Lazaro, ``Langevin-dynamics study of the
dynamical properties of small magnetic particles,'' Physical Review B,
58, 14937-14958 (1998).
- 12
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T. L. Gilbert, ``A Lagrangian formulation of the gyromagnetic equation
of the magnetization field,'' Phys. Rev., 100, 1243 (1955).
- 13
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P. R. Gillette and K. Oshima, ``Magnetization reversal by rotation,''
J. Appl. Phys., 29, 529-531 (1958).
- 14
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A. Hubert, ``muMAG standard problem no. 3,'' (1998), [Online;
accessed 18-July-2022],
URL https://www.ctcms.nist.gov/~rdm/std2/spec3.html.
- 15
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T. Koehler, H. N. Bertram, A. Liu, C. Seberino, and R. D. McMichael,
``muMAG standard problem no. 2,'' (1998), [Online; accessed
18-July-2022],
URL https://www.ctcms.nist.gov/~rdm/std2/spec2.html.
- 16
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A. E. LaBonte, ``Two‐dimensional Bloch‐type domain walls in
ferromagnetic films,'' Journal of Applied Physics, 40,
2450-2458 (1969).
- 17
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L. Landau and E. Lifshitz, ``On the theory of the dispersion of magnetic
permeability in ferromagnetic bodies,'' Physik. Z. Sowjetunion,
8, 153-169 (1935).
- 18
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K. M. Lebecki, M. J. Donahue, and M. W. Gutowski, ``Periodic boundary
conditions for demagnetization interactions in micromagnetic simulations,''
J. Phys. D: Appl. Phys., 41, 175005 (2008).
- 19
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R. D. McMichael and M. J. Donahue, ``Head to head domain wall structures
in thin magnetic strips,'' IEEE Trans. Mag., 33, 4167-4169
(1997).
- 20
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R. D. McMichael, R. Koch, T. Schrefl, and J. Eicke, ``muMAG standard
problem no. 4,'' (2000), [Online; accessed 18-July-2022],
URL https://www.ctcms.nist.gov/~rdm/std2/spec4.html.
- 21
-
M. Najafi and D. G. Porter, ``muMAG standard problem no. 5,'' (2014),
[Online; accessed 18-July-2022],
URL https://www.ctcms.nist.gov/~rdm/std2/spec5.html.
- 22
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L. Néel, ``Some theoretical aspects of rock magnetism,'' Adv. Phys., 4, 191-242 (1955).
- 23
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A. J. Newell, W. Williams, and D. J. Dunlop, ``A generalization of the
demagnetizing tensor for nonuniform magnetization,'' J. Geophysical
Research - Solid Earth, 98, 9551-9555 (1993).
- 24
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D. G. Porter and M. J. Donahue, ``Generalization of a two-dimensional
micromagnetic model to non-uniform thickness,'' Journal of Applied
Physics, 89, 7257-7259 (2001).
- 25
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M. R. Scheinfein, J. Unguris, J. L. Blue, K. J. Coakley, D. T. Pierce, and
R. J. Celotta, ``Micromagnetics of domain walls at surfaces,''
Phys. Rev. B, 43, 3395-3422 (1991).
- 26
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J. C. Slonczewski, ``Current-driven excitation of magnetic multilayers,''
Journal of Magnetism and Magnetic Materials, 159, L1-L2
(1996).
- 27
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J. Stoer and R. Bulirsch, Introduction to Numerical Analysis (Springer,
New York, 1993), 2nd edn.
- 28
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E. C. Stoner and E. P. Wohlfarth, ``A mechanism of magnetic hysteresis
in heterogeneous alloys,'' Phil. Trans. Royal Soc. London,
A240, 599-642 (1948).
- 29
-
A. Thiaville, Y. Nakatani, J. Miltat, and Y. Suzuki, ``Micromagnetic
understanding of current-driven domain wall motion in patterned nanowires,''
Europhys. Lett., 69, 990-996 (2005).
- 30
-
A. Thiaville, S. Rohart, É. Jué, V. Cros, and A. Fert,
``Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic
films,'' Europhys. Lett., 100, 57002 (2012).
- 31
-
P.-E. Weiss, ``La variation du ferro-magnétisme avec la
température,'' Comptes Rendus, 143, 1136-1149 (1906).
- 32
-
B. B. Welch, Practical Programming in Tcl and Tk (Prentice Hall,
Upper Saddle River, New Jersey USA, 2000), 3rd edn.
- 33
-
J. Xiao, A. Zangwill, and M. D. Stiles, ``Boltzmann test of
Slonczewski's theory of spin-transfer torque,'' Phys. Rev. B,
70, 172405 (pages 4) (2004).
- 34
-
S. Zhang and Z. Li, ``Roles of nonequilibrium conduction electrons on
the magnetization dynamics of ferromagnets,'' PhysRev. Lett.,
93, 127204 (2004).
OOMMF Documentation Team
September 27, 2023