Propagating magnetic vortex rings in ferromagnets

Physical Review Letters

Volumn 82, Issue 7, 1999, Pages 1554-1557

  Cooper, N R ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2842614652     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.82.1554     Document Type: Article

References (31)

1. L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjet. 8, 153 (1935).
2. V. G. Bar’yakhtar, M. V. Chetkin, B. A. Ivanov, and S. N. Gadetskii, Dynamics of Topological Magnetic Solitons, Springer Tracts in Modern Physics Vol. 129 (Springer-Verlag, Berlin, 1994).
3. T. H. O’Dell, Ferromagnetodynamics (Macmillan Press, London, 1981).
4. A. P. Malozemov and J. C. Slonczewskii, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979).
5. A. M. Kosevich, B. A. Ivanov, and A. S. Kovalev, Phys. Rep. 194, 117 (1990).
6. H. J. Mikeska and M. Steiner, Adv. Phys. 40, 191 (1991).
7. R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1989).
8. A. V. Mikhailov, in Solitons, S. E. Trullinger, V. E. Zakharov, and V. L. Pokrovsky (Elsevier, Amsterdam, 1986).
9. A. V. Mikhailov and A. B. Shabat, Phys. Lett. A. 116, 191 (1986).
10. N. Papanicolaou and T. N. Tomaras, Nucl. Phys. B. 360, 425 (1991).
11. P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, England, 1992).
12. K. Shariff and A. Leonard, Annu. Rev. Fluid Mech. 24, 235 (1992).
13. N. R. Cooper, Phys. Rev. Lett. 80, 4554 (1998).
14. H. K. Moffatt, Fluid Dyn. Res. 3, 22 (1988).
15. B. Turkington, SIAM J. Math. Anal. 20, 57 (1989).
16. H. K. Moffatt, J. Fluid Mech. 35, 117 (1969).
17. I. E. Dzyloshinskii and B. A. Ivanov, Pis’ma Zh. Eksp. Teor. Fiz. 29, 592 (1979)
18. I. E. Dzyloshinskii, B. A. Ivanov, [JETP Lett. 29, 540 (1979)].
19. N. Papanicolaou, in Singularities in Fluids, Plasmas and Optics, NATO ASI Series C Vol. 403, R. E. Caflisch and G. C. Papanicolaou (Kluwer Academic, Dordrecht, 1993), pp. 151–158.
20. R. Bott and L. W. Tu, Differential Forms in Algebraic Topology (Springer-Verlag, New York, 1982), Sect. 17.
21. F. Wilczek and A. Zee, Phys. Rev. Lett. 51, 2250 (1983).
22. H. K. Moffatt, Nature (London). 347, 367 (1990).
23. G. E. Volovik and V. P. Mineev, Sov. Phys. JETP. 46, 401 (1977);
24. T. L. Ho, Phys. Rev. B. 18, 1144 (1978).
25. L. Faddeev and A. J. Niemi, Nature (London). 387, 58 (1997).
26. J. Gladikowski and M. Hellmund, Phys. Rev. D. 56, 5194 (1997).
27. R. A. Battye and P. M. Sutcliffe, Phys. Rev. Lett. 81, 4798 (1998).
28. J. Tjon and J. Wright, Phys. Rev. B. 15, 3470 (1977).
29. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic Press, New York, 1981).
30. N. R. Cooper, (to be published).
31. M. Tsoi, et al., Phys. Rev. Lett. 80, 4281 (1998).