Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls

Nonlinearity

Volumn 20, Issue 11, 2007, Pages 2519-2537

  Capella, Antonio ^a   Melcher, Christof ^b   Otto, Felix ^a  

^a UNIVERSITY OF BONN   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35548994636     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/20/11/004     Document Type: Article

References (20)

1. Bates P W, Fife P C, Ren X and Wang X 1997 Traveling waves in a convolution model for phase transitions Arch. Ration. Mech. Anal. 138 105-36
2. DeSimone A, Knüpfer H and Otto F 2007 2-d stability of the Néel wall Calc. Var. 27 233-53
3. DeSimone A, Kohn R V, Müller S and Otto F 2003 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall SIAM Multiscale Modelling Simul. 1 57-104
4. DeSimone A, Kohn R V, Müller S and Otto F 2005 Recent analytical developments in micromagnetics The Science of Hysteresis vol 2 ed G Bertotti and I Mayergoyz (Amsterdam: Elsevier) pp 269-381
5. García-Cervera C J 2004 One-dimensional magnetic domain walls Eur. J. Appl. Math. 15 451-86
6. Weinan E and García-Cervera C J 2001 Effective dynamics for ferromagnetic thin films J. Appl. Phys. 90 370-4
7. Gilbert T L 1955 A Lagrangian formulation of gyromagnetic equation of the magnetization field Phys. Rev. 100 1243
8. Hubert A and Schäfer R 1998 Magnetic Domains, The Analysis of Magnetic Microstructures (Berlin: Springer)
9. Kohn R V and Slastikov V V 2004 Effective dynamics for ferromagnetic thin films: rigorous justification Proc. R. Soc. London Ser. A 461 143-54
10. Kurzke M, Melcher C and Moser R 2006 Domain walls and vortices in thin ferromagnetic films Analysis, Modeling and Simulation of Multiscale Problems ed A Mielke (Berlin: Springer) pp 249-99
11. Landau L D and Lifshitz E 1935 On the theory of the dispersion of magnetic permeability in ferromagnetic bodies Phys. Z. Sovietunion 8 153-69
12. Landau L D, Lifshitz E and Pitaevski L P 1980 Statistical Phys. vol 2 (Oxford: Pergamon)
13. Melcher C 2003 The logarithmic tail of Néel walls Arch. Ration. Mech. Anal. 168 83-113
14. Melcher C 2004 Logarithmic lower bounds for Néel walls Calc. Var. Partial Diff. Eqns 168 209-19
15. Melcher C 2004 Domain wall motion in ferromagnetic layers Physica D 192 249-64
16. Moser R 2004 Boundary vortices for thin ferromagnetic films Arch. Ration. Mech. Anal. 174 267-300
17. O'Dell T H 1981 Ferromagnetodynamcis (New York: Wiley)
18. Podio-Guidugli P and Tomassetti G 2004 On the evolution of domain walls in hard ferromagnetics SIAM J. Appl. Math. 64 1887-906
19. Walker L R 1963 unpublished
20. Reported in Dillon J F Jr 1963 Domains and domain walls Magnetism ed G R Rado and H Suhl (New York: Academic)