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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.5 P.503-510

http://doi.org/10.1631/jzus.2003.0503


Soliton dynamics in planar ferromagnets and anti-ferromagnets


Author(s):  LIN Fang-hua, SHATAH Jalal

Affiliation(s):  Courant Institute, New York University, NY 10012, USA

Corresponding email(s):   linf@cims.nyu.edu, shatah@cims.nyu.edu

Key Words:  Magnetic vortices, Topological vorticity, Conservation law, Soliton dynamics


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LIN Fang-hua, SHATAH Jalal. Soliton dynamics in planar ferromagnets and anti-ferromagnets[J]. Journal of Zhejiang University Science A, 2003, 4(5): 503-510.

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Abstract: 
The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons (magnetic vortices) in ferromagnets and anti-ferromagnets.It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Bethuel, F., Brezis, H. and Helein, F., 1994. Ginzburg-Landau Vortices. Boston, Birkhauser.

[2]De Gennes, P.G. and Prost, J., 1993. The Physics of Liquid Crystals. Second Edition, (Oxford Science Publication), Clarendon Press, Oxford.

[3]Fetter, A.L. and Svidzinsky, A.A., 2002. Vortices in Traped Dilute Bose-Einstein Condensates. Preprint.

[4]Hang, F.B. and Lin, F. H., 2001. Static theory for planar ferromagnets and antiferromagnets.Acta Math. Sinica (Eng. ser.), 17:541-580.

[5]Hang, F.B. and Lin, F. H., 2002. Travelling Wave Solutions of Schrödinger Map Equation. Preprint.

[6]Huebener, R. P.,1979. Magnetic Flux Structures in Superconductors. Springer series in solid-state sciences, Springer-Berlin.

[7]Jaffe, A. and Taubes, C. H., 1980. Vortices and Monopoles. Birkhäuser, Boston.

[8]Komineas, S. and Papanicolaou, N.,1996. Topology and dynamics in ferromagnetic media. Phys.D.,99:81-107.

[9]Lin, F. H. and Xin, J., 1999. On the incompressible fluid limit and vortex motion law of the nonlinear Schrödinger equation. Comm. Math. Phys., 200:249-274.

[10]Makhankov, V. G., Rybakov, Y. P. and Sanyuk, V. I., 1993. The skyrme model. Springer, Berlin, and Heidelberg.

[11]Malozemoff, A. P. and Slonzewski, J. O., 1979. Magnetic Domain Walls in Bubble Materials. Academic Press, New York.

[12]Neu, J., 1990. Vortices in the complex scalar fields. Phys. D., 43:385-406.

[13]O'Dell, T. H. 1981. Ferromagnetodynamics, the Dynamics of Magnetic Bubbles, Domain and Domain Walls. Wiley, New York.

[14]Papanicolaou, N. and Tomaras, T. N., 1991. Dynamics of magnetic vortices. Nuclear Phys. B, 360:425-462.

[15]Rajaraman, R.,1982. Solitons and Instantons. North-Holland, Amsterdam.

[16]Shatah, J.,1988. Weak solutions and development of singularities of the SU(2)-ω-model. Comm. Pure and Appl. Math., 41:459-469.

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