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Hopf solitons and elastic rods · Around

2010

Hopf solitons and elastic rods

Harland, Derek, Speight, Martin, Sutcliffe, Paul

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Hopf solitons in the Skyrme-Faddeev model are string-like topological solitons classified by the integer-valued Hopf charge.

In this paper we introduce an approximate description of Hopf solitons in terms of elastic rods.
The general form of the elastic rod energy is derived from the field theory energy and is found to be an extension of the classical Kirchhoff rod energy.
Using a minimal extension of the Kirchhoff energy, it is shown that a simple elastic rod model can reproduce many of the qualitative features of Hopf solitons in the Skyrme-Faddeev model.

Built on

L. D. Faddeev, Quantization of solitons, Princeton preprint IAS-75-QS70 (1975)
1975
Earlier work this paper cites.
A. F. Vakulenko and L. V. Kapitanski, Dokl. Akad. Nauk USSR
1979
Earlier work this paper cites.
J. Langer and D. A. Singer, SIAM Review
1996
Earlier work this paper cites.
L. Faddeev and A. J. Niemi, Nature
1997
Earlier work this paper cites.
J. Gladikowski and M. Hellmund, Phys. Rev
1997
Earlier work this paper cites.

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J. Hietarinta and P. Salo, Phys. Lett
2000
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J. H Michell, Messenger of Math
Cited in the paper.

Then

E. Babaev, L. Faddeev and A. J. Niemi, Phys. Rev
2002
Later among the works it cites.
E. J. Rawdon, Experimental Mathematics
2003
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F. Lin and Y. Yang, Commun. Math. Phys
2004
Later among the works it cites.
P. M. Sutcliffe, Proc. R. Soc. Lond
2007
Later among the works it cites.

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