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- 1
- 
H. Breuer, dtv-Atlas zur Physik.
 Deutscher Taschenbuch Verlag, 1991.
- 2
- 
J. Fidler, ``Physics of magnetic materials.'' lecture notes, 1996.
- 3
- 
K. B. Klaassen, R. G. Hirko, and J. T. Contreras, ``High speed magnetic
  recording,'' IEEE Trans. Magn., vol. 34, pp. 1822-1827, July 1998.
- 4
- 
T. Schrefl, J. Fidler, D. Süss, and W. Scholz, ``Hysteresis and switching
  dynamics of patterned magnetic elements,'' Physica B, submitted.
- 5
- 
D. Süss, T. Schrefl, J. Fidler, and J. N. Chapman, ``Micromagnetic simulation
  of the long range interaction between NiFe nano-elements using the
  BE-method,'' J. Magn. Magn. Mater., pp. 617-619, 1999.
- 6
- 
T. Schrefl and J. Fidler, ``Reversal modes and reversal times in
  submicron-sized elements for MRM applications,'' Proc. E-MRS-Meeting,
  Strasbourg, 1999.
- 7
- 
T. Schrefl, J. Fidler, C. Kirk, and J. N. Chapman, ``Simulation of
  magnetization reversal in polycrystalline patterned Co-elements,'' J.
  Appl. Phys., vol. 85, pp. 6169-6171, 1999.
- 8
- 
T. Schrefl, J. Fidler, K. J. Kirk, and J. N. Chapman, ``A higher order
  FEM-BEM method for the calculation of domain processes in magnetic
  nano-elements,'' IEEE Trans. Magn., no. 33, pp. 4182-4184, 1997.
- 9
- 
G. Bertotti, Hysteresis in Magnetism - For Physicists, Materials
  Scientists and Engineers.
 Electromagnetism, Academic Press, 1998.
- 10
- 
A. H. Morrish, The physical principles of magnetism.
 New York: Wiley, 1975.
- 11
- 
D. Spisák and J. Hafner, ``Frustrated exchange interactions at the interface
  of antiferromagnetic films with ferromagnetic substrates,'' Phys. Rev.
  B, vol. 55, pp. 8304- 8312, 1997.
- 12
- 
D. Spisák and J. Hafner, ``Theory of bilinear and biquadratic exchange
  interactions in iron: bulk and surface,'' J. Magn. Magn. Mat.,
  vol. 168, pp. 257- 268, 1997.
- 13
- 
W. F. Brown, Micromagnetics.
 New York: Interscience, 1963.
- 14
- 
A. Aharoni, Introduction to the Theory of Ferromagnetism.
 Monographs on Physics, Oxford University Press, 1996.
- 15
- 
D. Süss, ``Mikromagnetische Simulation der Keimbildung in SE Magneten,''
  Diplomarbeit, TU Vienna, 1999.
- 16
- 
C. E. Patton, ``The Landau-Lifshitz equation - precessing magnets.''
  Intermag '97 tutorial on high speed switching, 1997.
- 17
- 
T. L. Gilbert, ``A Lagrangian formulation of gyromagnetic equation of the
  magnetization field,'' Phys. Rev., vol. 100, p. 1243, 1955.
- 18
- 
L. Landau and E. Lifshitz, ``On the theory of magnetic permeability in
  ferromagnetic bodies.,'' Physik. Z. Sowjetunion, vol. 8, p. 153, 1935.
- 19
- 
C. Grossmann and H.-G. Roos, Numerik partieller Differentialgleichungen.
 Stuttgart: Teubner, 2nd ed., 1994.
- 20
- 
J. B. Cole, ``Generalized nonstandard finite differences and physical
  appications,'' Computers in Physics, vol. 12, pp. 82-87, jan./feb.
  1998.
- 21
- 
M. J. Donahue and R. D. McMichael, ``Exchange energy representations in
  computational micromagnetics,'' Physica B, vol. 233, pp. 272-278,
  1997.
- 22
- 
C. W. Gardiner, Handbook of stochastic methods: for physics, chemistry and
  the natural sciences.
 Springer, 2nd ed., 1996.
- 23
- 
M. E. Schabes and A. Aharoni, ``Magnetostatic interaction fields for a
  three-dimensional array of ferromagnetic cubes,'' IEEE Trans. Magn.,
  vol. MAG-23, no. 6, pp. 3882-3888, 1987.
- 24
- 
J. H. J. van Opheusden and E. M. C. M. Reuvekamp, ``Computer simulation of a
  thin magnetic film with vertical anisotropy,'' J. Magn. Magn. Mater.,
  vol. 88, pp. 247-259, 1990.
- 25
- 
E. D. Boerner and H. N. Bertram, ``Dynamics of thermally activated reversal in
  nonuniformly magnetized single particles,'' IEEE Trans. Magn., vol. 33,
  pp. 3052-3054, September 1997.
- 26
- 
A. Aharoni, ``Magnetostatic energy calculation,'' IEEE Trans. Magn.,
  vol. 27, no. 4, pp. 3539-3547, 1991.
- 27
- 
E. Della Torre, ``Magnetization calculation of fine particles,'' IEEE
  Trans. Magn., vol. MAG-22, pp. 484-489, September 1986.
- 28
- 
D. V. Berkov and N. L. Gorn, ``Quasistatic remagnetization processes in
  two-dimensional systems with random on-site anisotropy and dipolar
  interaction - numerical simulations,'' Phys. Rev. B, vol. 57, no. 22,
  pp. 14332-14343, 1998.
- 29
- 
K. Fabian, A. Kirchner, W. Williams, F. Heider, T. Leibl, and A. Hubert,
  ``Three-dimensional micromagnetic calculations for magnetite using FFT,''
  Geophysical Journal International, vol. 124, no. 1, pp. 89-104, 1996.
- 30
- 
D. Lewis and E. Della Torre, ``Identification of stiff modes in micromagnetic
  problems,'' IEEE Trans. Magn., vol. 33, pp. 1596-1599, March 1997.
- 31
- 
G. J. Parker, C. Cerjan, and D. W. Hewett, ``Embedded curve boundary method for
  micromagnetic simulations,'' J. Appl. Phys., 2000.
 to be published.
- 32
- 
M. R. Gibbons, G. Parker, C. Cerjan, and D. W. Hewett, ``Finite difference
  micromagnetic simulation with self-consistent currents and smooth surfaces.''
  paper O1-5, Second International Symposium on Hysteresis Modeling and
  Micromagnetics, Perugia, Italy, 1999.
- 33
- 
M. Eiermann, O. Ernst, and W. Queck, ``Finite element tutorial,'' 1996.
 URL:   http://www.mathe.tu-freiberg.de/AMM2/PS/FEintro_2.ps.gz.
- 34
- 
T. Schrefl, Numerical Simulation of Magnetization Reversal Processes in
  Hard Magnetic Materials.
 Dissertation, TU Vienna, 1993.
- 35
- 
M. Jung and U. Langer, ``Finite-Elemente-Methode - Eine Einführung für
  Ingenieurstudenten,'' 1995.
 URL:   http://http://www.numa.uni-linz.ac.at/Teaching/Lectures/nupdglg.ps.gz.
- 36
- 
B. Streibl, ``Dynamische mikromagnetische Simulation von  MAG
  Standardproblemen,'' Diplomarbeit, TU Vienna, 1998. MAG
  Standardproblemen,'' Diplomarbeit, TU Vienna, 1998.
- 37
- 
D. R. Fredkin and T. R. Koehler, ``Hybrid method for computing demagnetizing
  fields,'' IEEE Trans. Magn., vol. 26, no. 2, pp. 415-417, 1990.
- 38
- 
R. Kubo, M. Toda, and N. Hashitsume, Statistical Phyiscs II:
  Nonequilibrium statistical mechanics.
 New York, Berlin, Heidelberg: Springer, 2nd ed., 1991.
- 39
- 
J. L. García-Palacios and F. J. Lázaro, ``Langevin-dynamics study of
  the dynamical properties of small magnetic particles,'' Phys. Rev. B,
  vol. 58, pp. 14937-14958, December 1998.
- 40
- 
P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential
  Equations.
 No. 23 in Application of Mathematics, Berlin, Heidelberg: Springer,
  2nd corrected ed., 1995.
- 41
- 
J. Honerkamp, Stochastische Dynamische Systeme: Konzepte, numerische
  Methoden, Datenanalysen.
 Weinheim, Basel, Cambridge, New York: VCH, 1990.
- 42
- 
W. Horsthemke and R. Lefever, Noise-Induced Transitions.
 Berlin, Heidelberg, New York, Tokyo: Springer, 1984.
- 43
- 
A. E. LaBonte, ``Two-dimensional Bloch-type domain walls in ferromagnetic
  films,'' J. Appl. Phys., vol. 40, pp. 2450-2458, 1969.
- 44
- 
G. N. Milshtein, ``Approximate integration of stochastic differential
  equations,'' Theory. Prob. Appl., vol. 19, pp. 557-562, 1974.
- 45
- 
R. Toral, ``Computational field theory and pattern formation,'' in Third
  Granada Lectures in Computational Physics (P. L. Garrido and J. Marro,
  eds.), Springer, 1994.
- 46
- 
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery,   Numerical Recipes in Fortran 77: The Art of Scientific Computing.
 Cambridge University Press, 1997.
- 47
- 
``NAG - The Numerical Algorithms Group.''
 URL: http://www.nag.co.uk/.
- 48
- 
`` mag micromagnetic modeling group.'' mag micromagnetic modeling group.''
 URL: http://www.ctcms.nist.gov/~rdm/mumag.html.
- 49
- 
W. Rave, K. Fabian, and A. Hubert, ``Magnetic states of small cubic particles
  with uniaxial anisotropy,'' J. Magn. Magn. Mater., vol. 190,
  pp. 322-348, 1998.
- 50
- 
S. Chikazumi, Physics of Ferromagnetism.
 Monographs on Physics, Oxford: Clarendon Press, 1997.
- 51
- 
R. Kikuchi, ``On the minimum of magnetization reversal time,'' J. Appl.
  Phys., vol. 27, pp. 1352-1357, November 1956.
- 52
- 
Y. Yu and J. W. Harrell, ``Fmr spectra of oriented  -Fe -Fe O O ,
  Co- ,
  Co- -Fe -Fe O O , CrO , CrO , and MP tapes,'' IEEE
  Trans. Magn., vol. 30, no. 4, pp. 4083-4085, 1994. , and MP tapes,'' IEEE
  Trans. Magn., vol. 30, no. 4, pp. 4083-4085, 1994.
- 53
- 
E. C. Stoner and E. P. Wohlfarth, ``A mechanism of magnetic hystersis in
  heterogeneous alloys,'' Phil. Trans. R. Soc., vol. 240, pp. 599-642,
  1948.
- 54
- 
D. J. Dunlop, ``Magnetism in rocks,'' Journal of Geophysical Research -
  Solid Earth, vol. 100, no. B2, pp. 2161-2174, 1995.
- 55
- 
F. Heider, A. Zitzelsberger, and K. Fabian, ``Magnetic susceptibility and
  remanent coercive force in grown magnetite crystals from 0.1  m to
  6 mm,'' Physics of the Earth & Planetary Interiors, vol. 93, no. 3-4,
  pp. 239-256, 1996. m to
  6 mm,'' Physics of the Earth & Planetary Interiors, vol. 93, no. 3-4,
  pp. 239-256, 1996.
- 56
- 
Y. Nakatani, Y. Uesaka, N. Hayashi, and H. Fukushima, ``Computer simulation of
  thermal fluctuation of fine particle magnetization based on Langevin
  equation,'' J. Magn. Magn. Mater., vol. 168, pp. 347-351, 1997.
- 57
- 
L. Néel, ``Theorie du trainage magnetique des ferromagnetiques en grains fins
  avec applications aux terres cuites,'' Ann. Geophys., vol. 5,
  pp. 99-136, 1949.
- 58
- 
U. Nowak and D. Hinzke, ``Magnetization switching in small ferromagnetic
  particles: Nucleation and coherent rotation,'' J. Appl. Phys., vol. 85,
  no. 8, p. 4337, 1999.
- 59
- 
P. A. Rikvold, H. Tomita, S. Miyashita, and S. W. Sides, ``Metastable lifetimes
  in a kinetic ising model: Dependence on field and system size,'' Phys.
  Rev. E, vol. 49, p. 5080, 1994.
- 60
- 
W. Wernsdorfer, K. Hasselbach, A. Benoit, G. Cernicchiaro, D. Mailly,
  B. Barbara, and L. Thomas, ``Measurement of the dynamics of the magnetization
  reversal in individual single-domain Co particles,'' J. Magn. Magn.
  Mater., vol. 151, pp. 38-44, 1995.
- 61
- 
W. Wernsdorfer, E. B. Orozco, B. Barbara, K. Hasselbach, A. Benoit, D. Mailly,
  B. Doudin, J. Meier, J. E. Wegrowe, J.-P. Ansermet, N. Demoncy, H. Pascard,
  L. Francois, N. Duxin, and M. P. Pileni, ``Mesoscopic effects in magnetism:
  Submicron to nanometer size single particle mesurements,'' J. Appl.
  Phys., vol. 81, pp. 5543-5545, April 1997.
- 62
- 
H. Kisker and T. Suzuki, ``Coercivity mechanism in data storage media,'' in
  Proceedings of Magneto-optical Recording International Symposium '96,
  vol. 20 Supplement, pp. 185-188, The Magnetics Society of Japan, 1996.
- 63
- 
M. Lederman, G. A. Gibson, and S. Schultz, ``Observation of thermal switching
  of a single ferromagnetic particle,'' J. Appl. Phys., vol. 73,
  pp. 6961-6963, May 1993.
- 64
- 
S. M. Stinnett, W. D. Doyle, P. J. Flanders, and C. Dawson, ``High speed
  switching measurements in thin film disk media,'' IEEE Trans. Magn.,
  vol. 34, pp. 1828-1833, July 1998.
Werner Scholz
2000-05-16