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Bibliography

1
IBM Research website,
http://www.research.ibm.com/research/gmr/basics.html

2
T. Yamashita, Magnetic Recording Disk Technology: Practical Challenges in Delivering the Areal Density Performance, abstract submitted to the Eighth International Symposium on Magnetic, Materials, Processes, and Devices, october 2004.

3
L.D. Landau, E.M. Lifshitz, Theory of the dispersion of magnetic permeability in ferromagnetic bodies. Phys. Z. Sowietunion 8, 153 (1935)

4
W.F. Brown Jr, Micromagnetics, Interscience Publishers (1963).

5
A. Aharoni, Introduction to the Theory of Ferromagnetism, Oxford University Press (2001).

6
H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd edition, Wiley, (1985).

7
E. Fermi, Termodinamica, Boringhieri, Torino (1958).

8
P. Weiss, L'Hypothese du champ Moleculaire et de la Propriete Ferromagnetique, J. de Phys. 6, (1907) pp. 661-690.

9
C. Kittel, Theory of the Structure of Ferromagnetic Domains in Films and Small Particles, Phys. Rev. 70 (1946), pp 965-971.

10
W. Heisenberg, Z. Physik 69 (1931), pp. 287-297.

11
L.D. Landau, E.M. Lifshitz, Electrodynamics of continuous media, MIR, Moskow (1986).

12
W.F. Brown Jr, Magnetostatic Principles in Ferromagnetism, North-Holland Publishing Company (1962).

13
J.D. Jackson, Classical Electrodynamics, Wiley (1962).

14
S. Bobbio, Electrodynamics of Materials, Academic Press, San Diego (1999).

15
F. Barozzi, F. Gasparini, Fondamenti di Elettrotecnica: Elettromagnetismo, UTET Torino (1989).

16
G. Bertotti, Tutorial Session Notes: Micromagnetics and Nonlinear Magnetization Dynamics, 10th Biennal Conference on Electromagnetic Fields Computation, Perugia (2002).

17
A. Arrott, Plenary Lecture: Progress in Micromagnetics, Moscow International Symposium on Magnetism, Moscow (2002).

18
T.L. Gilbert, Physical Review, 100 (1955), p. 1243.

19
W.F. Brown Jr, Magnetoelastic interactions, Springer-Verlag (1966).

20
G. Bertotti, Hysteresis in magnetism, Academic Press, San Diego (1998).

21
W.F. Brown Jr, Thermal fluctuations of a single-domain particle, Physical Review, 130, p. 16771686 (1963).

22
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York (1990).

23
J. H. Hubbard and B. H. West, Differential Equations: A Dynamical System Approach. Part II, Springer-Verlag, New York (1995).

24
L. F. Àlvarez, O. Pla, and O. Chubykalo, Phys. Rev. B 61, p. 613 (2000)

25
C. Serpico, I.D. Mayergoyz, G. Bertotti, Numerical technique for integration of the LandauÂLifshitz equation, Journal of Applied Physics, 89, p. 6991 (2001).

26
J.C. Mallinson, Damped gyromagnetic switching, IEEE Transactions on Magnetics, 36, p. 1976 (2000).

27
G. Bertotti, I.D. Mayergoyz, C. Serpico, M. Dimian, Comparison of analytical solutions of Landau-Lifshitz equation for ``damping'' and ``precessional'' switchings, Journal of Applied Physics, 93, p. 6811 (2003).

28
G. Bertotti, I.D. Mayergoyz, C. Serpico, Critical fields and pulse durations for precessional switching of thin magnetic films, IEEE Transactions on Magnetics, 39, p. 2504 (2003).

29
J.C. Mallinson, On damped gyromagnetic precession, IEEE Transactions on Magnetics, 23, p. 2003 (1987).

30
R. Kikuchi, On the Minimum of Magnetization Reversal Time, Journal of Applied Physics, 27, 1352 (1956).

31
R.F.M. Thornley, Pulse response of recording media, IEEE Tansactions on Magnetics, 11, p. 1197 (1975).

32
W.D. Doyle and L. He, Flanders P. J, Measurement of the switching speed limit in high coercivity magnetic media, IEEE Transactions on Magnetics, 29, p. 3634 (1993).

33
N.D. Rizzo, T.J. Silva and A.B. Kos, IEEE Transactions on Magnetics, Nanosecond magnetization reversal in high coercivity thin films, 36, p. 159 (2000).

34
M. Bauer, J. Fassbender, B. Hillebrands, R.L Stamps, Switching behavior of a Stoner particle beyond the relaxation time limit, Physical Review B, 61, p. 3410 (2000).

35
G. Bertotti, I.D. Mayergoyz, C. Serpico, and M. dAquino, Geometrical Analysis of Precessional Switching and Relaxation in Uniformly Magnetized Bodies, IEEE Transaction on Magnetics, 39, p. 2501 (2003).

36
D.G. Porter, Analytical Determination of the LLG Zero-Damping Critical Switching Field, IEEE Transactions Magnetics, 34, p. 1663 (1998).

37
S. Kaka, S.E. Russek, Precessional switching of submicrometer spin valves, Applied Physics Letters, 80, p. 2958 (2002).

38
J.H.E. Griffiths, Anomalous high frequency resistance of ferromagnetic metals, Nature 158, p. 670 (1946).

39
C. Kittel, On the theory of ferromagnetic resonance absorption, Pysical Review, 73 (1948).

40
G. Bertotti, C. Serpico, I.D. Mayergoyz, Nonlinear Magnetization Dynamics under Circularly Polarized Field, Physical Review Letters, 86, p. 724 (2001).

41
C. Serpico, M. d'Aquino, G. Bertotti, I.D. Mayergoyz, Analysis of quasiperiodic LandauÂLifshitzÂGilbert dynamics, Journal of Magnetism and Magnetic Materials, 272-276, p. 734 (2004).

42
C. Serpico, I.D. Mayergoyz, G. Bertotti, Analytical solutions of Landau-Lifshitz equation for precessional switching,Journal of Applied Physics, 93, p. 6909 (2003).

43
L.Perko, Differential Equations and Dynamical Systems, Springer, 1996.

44
J.C. Slonczewski, Current-driven excitation of magnetic multilayers, Journal of Magnetism and Magnetic Materials, 159 (1996), L1-L7.

45
J.Z. Sun, Current-driven magnetic switching in manganite trilayer junctions, Journal of Magnetism and Magnetic Materials, 202 p. 157 (1999).

46
S.I. Kiselev, J.C. Sankey, I.N. Krivorotov, N.C. Emley, R.J. Schoelkopf, R.A. Buhrman, D. C. Ralph, Microwave oscillations of a nanomagnet driven by a spin-polarized current, Letters to Nature 425, p. 380 (2003).

47
C. Serpico, private communication.

48
J. Grollier, V. Cros, H. Jaffrés, A. Hamzic, J.M. George, G. Faini, J. Ben Youssef, H. Le Gall, A. Fert, Field dependence of magnetization reversal by spin transfer, Physical Review B, 67, p. 174402 (2003).

49
G. Bertotti, C. Serpico, I.D. Mayergoyz, A. Magni, M. dAquino, R. Bonin, Magnetization Switching and Microwave Oscillations in Nanomagnets Driven by Spin-Polarized Currents, submitted to Physcal Review Letters.

50
G. Bertotti, I.D. Mayergoyz, C. Serpico, Analytical solutions of LandauÂLifshitz equation for precessional dynamics, Physica B, 343, p. 325 (2004).

51
A. Aharoni, Micromagnetics: past, present and future, Physica B, 309, p. 1 (2001).

52
J. Fidler and T. Schrefl, Micromagnetic modellingÂThe current state of the art, Journal of Physics D: Applied Physics, 33, R135 (2000).

53
R.D. McMichael, M.J. Donahue, and D.G. Porter, Comparison of magnetostatic field calculation methods on two-dimensional square grids as applied to a micromagnetic standard problem, Journal of Applied Physics, 85, p. 5816 (1999).

54
Q. Chen and A. Conrad, A review of finite element open boundary techniques for static and quasi-static electromagnetic field problems, IEEE Transactions on Magnetics 33, p. 663 (1997).

55
B. Yang and D.R. Fredkin, Dynamical micromagnetics by finite element method, IEEE Transactions on Magnetics, 43, p. 3842 (1998).

56
A. Khebir, A.B. Kouki and R. Mittra, Asymptotic boundary for finite element analysis of three-dimensional transmission line discontinuities, IEEE Transactions on Microwave Theory Techniques, 38, p. 1427 (1990).

57
X. Brunotte, G. Meunier and J.F. Imhoff, Finite element modelling of unbounded problems using transformations: rigorous, powerful and easy solutions, IEEE Transactions on Magnetics, 28, p. 1663 (1992).

58
T. Schrefl and J. Fidler, Modelling of exchange spring permanent magnets, Journal of Magnetism and Magnetic Materials 177, p. 970 (1998).

59
R. Fischer and H. Kronmueller, Importance of ideal grain boundaries of high remanent composite permanent magnets, Journal of Applied Physics, 83, p. 3271 (1998).

60
J. W. Cooley and J. W. Tukey, An algorithm for the machine computation of the complex Fourier series, Mathematics of Computation, 19, p. 297 (1965).

61
J.G. Zhu, N.H. Bertram, Micromagnetic studies of thin metallic films, Journal of Applied Physics, 63, p. 3248 (1988).

62
H.N. Bertram, Monte-Carlo calculation of magnetic anhysteresis, Journal de Physique, 32, p. 684 (1971).

63
J.J. Miles, B.K. Middleton, A hierarchical micromagnetic model of longitudinal thin-film recording media, Journal of Magnetism and Magnetic Materials, 95, p. 99 (1991).

64
D.V. Berkov, K. Ramstöck, A. Hubert, Solving Micromagnetic Problems, Physica Status Solidi A, 137, p. 207 (1993).

65
S.W. Yuan, H.N. Bertram, Fast adaptive algorithms for Micromagnetics, IEEE Transaction on Magnetics, 28, p. 2031 (1992).

66
O.D. Kellogg, Foundations of potential theory, Dover, New York (1953).

67
D.A. Lindholm, Three-dimensional magnetostatic fields from point-matched integral equations with linearly varying scalar sources, IEEE Transaction on Magnetics, 20, p. 2025 (1984).

68
H.W. Schumacher, C. Chappert, R.C. Sousa, P.P. Freitas, J. Miltat, Quasi ballistic magnetization reversal, Physical Review Letters, 90, p. 17204 (2003).

69
P.N. Brown, A.C. Hindmarsh, Reduced Storage Matrix Methods in Stiff ODE Systems, Journal of Applied Mathematics and Computation, 31, p. 40 (1989).

70
D.R. Friedkin, T.R. Koehler, Hybrid Method for Computing Magnetostatic Fields, IEEE Transactions on Magnetics, 26, p. 415 (1990).

71
D. C. Cronemeyer, Demagnetizing factors for general ellipsoids, Journal of Applied Physics, 70, p. 7660 (1991).

72
H. Hancock, Elliptic integrals, Wiley, New York (1917).

73
W. Scholz, MAGPAR parallel micromagnetic code, Vienna University of Technology, website http://magnet.atp.tuwien.ac.at/scholz/magpar.

74
C.H. Hee, Y.Y. Zou, and J.P. Wang, Tilted media by micromagnetic simulation: A possibility for the extension of longitudinal magnetic recording? Journal of Applied Physics, 91, p. 8004 (2002).

75
L. He, W.D. Doyle, H. Fujiwara, High speed coherent switching below the Stoner-Wohlfarth limit, IEEE Transactions on Magnetics, 30, p. 4086 (1994).

76
D. Suess, T. Schrefl, W. Scholz, J. Fidler, Fast switching of small magnetic particles, Journal of Magnetism and Magnetic Materials, 242, p. 426 (2002).

77
E.C. Stoner, E.P. Wohlfarth, A mechanism of magnetic hysteresis in heterogeneous alloys, Philos. Trans. R. Soc. London Ser., A240 (1949).

78
D. Suess, V. Tsiantos, T. Schrefl, J. Fidler, W. Scholz, H. Forster, R. Dittrich, and J.J. Miles, Time resolved micromagnetics using a preconditioned finite element method, Journal of Magnetism and Magnetic Materials, 248, p. 298 (2002).

79
$ \mu$-mag group website, http://www.ctcms.nist.gov/~rdm/mumag.org.html

80
W. Scholz, Scalable Parallel Micromagnetic Solvers for Magnetic Nanostructures, PhD Thesis (2003), http://magnet.atp.tuwien.ac.at/scholz/

81
X. Wang, C.J. García-Cervera, Weinan E, A GaussSeidel Projection Method for Micromagnetics Simulations, Journal of Computational Physics 171, p. 357 (2001).

82
P. Podio-Guidugli, On dissipation mechanisms in micromagnetics, The European Physical Journal B, 19, p. 417 (2001).

83
M.A. Austin, P.S. Krishnaprasad, Almost Poisson Integration of Rigid Body Systems, Journal of Computational Physics, 107, p. 105 (1993).

84
A. W. Spargo, P. H. W. Ridley, G. W. Roberts, Geometric integration of the Gilbert equation, Journal of Applied Physics, 93, p. 6805 (2003).

85
P.S. Krishnaprasad, X. Tan, Cayley transforms in micromagnetics, Physica B, 306, p.195 (2001).

86
D. Lewis, N. Nigam, Geometric integration on spheres and some interesting applications, Journal of Computational and Applied Mathematics, 151, p. 141 (2003).

87
C.J. Budd, M.D. Piggott, Geometric integration and its applications, http://www.maths.bath.ac.uk/~cjb/ (2001).

88
J.E. Marsden, T.S. Ratiu, Introduction to Mechanics and Symmetry, Springer Verlag, New York, 1999.

89
P.J. Channell and J.C. Scovel, Symplectic integration of Hamiltonian systems, Nonlinearity 3, p. 231-259 (1990).

90
S.W. Yuan, H. Neal, Bertram, Fast Adaptive Algorithms for Micromagnetics, IEEE Transactions on Magnetics, 28, p. 2031 (1992).

91
Y. Saad and M.H. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal of Scientific and Statistical Computation, 7, p. 856 (1986).

92
J.M. Ortega, W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, SIAM Philadelphia (2000).

93
M. E. Schabes and A. Aharoni, Magnetostatic Interaction Fields for a Three-Dimensional Array of Ferromagnetic Cubes, IEEE Transaction On Magnetics, 23, p. 3882 (1987).

94
G. Albuquerque, J. Miltat, A. Thiaville, Self-consistency based control scheme for magnetization dynamics Journal of Applied Physics, 89, p. 6719 (2001).

95
V. Comincioli, Analisi numerica, McGraw-Hill, Milano (1995).


Massimiliano d'Aquino 2005-11-26