Faddeev-Hopf knots: dynamics of linked un-knots

@inproceedings{Hietarinta1999FaddeevHopfKD,
  title={Faddeev-Hopf knots: dynamics of linked un-knots},
  author={Jarmo Hietarinta and Petri Salo},
  year={1999}
}
  • Jarmo Hietarinta, Petri Salo
  • Published 1999
  • Physics
  • Abstract We have studied numerically Faddeev-Hopf knots which are defined as those unit-vector fields in R 3 that have a nontrivial Hopf charge and minimize Faddeev's Lagrangian. A given initial configuration was allowed to relax into a (local) minimum using the first order dissipative dynamics corresponding to the steepest descent method. A linked combination of two un-knots was seen to relax into different minimum energy configurations depending on their charges and their relative handedness… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-8 OF 8 REFERENCES

    Nature 387

    • L. Faddeev, A. Niemi
    • 1 May, 58,
    • 1997
    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    Energy functions for polygonal knots IAS Print 75 - QS 70 ( 1975 ) ; L . Faddeev , Einstein and Several Contemporary Tendencies in the Theory of Elementary Particles in “

    • F. De Finis, L. Faddeev
    • Relativity , Quanta , and Cosmology

    G: Nucl

    • D. A. Nicole, J. Phys
    • Phys. 4, 1363
    • 1978

    IAS Print 75-QS70 (1975); L

    • L. Faddeev
    • Faddeev, Einstein and Several Contemporary Tendencies in the Theory of Elementary Particles in “Relativity, Quanta, and Cosmology, Vol.1”, M. Pantaleo and F. De Finis, eds., pp. 247-266 (1979), reprinted in L. Faddeev, “40 years in mathematical physics”, pp. 441-461
    • 1995
    VIEW 1 EXCERPT

    Nature

    • W. Perkins
    • 387, 1 May, 19 (1997); New Scientist, 27 Sept, 30
    • 1997
    VIEW 1 EXCERPT

    Phys

    • J. Gladikowski, M. Hellmund
    • Rev. D 56, 5194
    • 1997
    VIEW 1 EXCERPT

    Sov

    • A. F. Vakulenko, L. V. Kapitanskii
    • Phys. Dokl. 24, 433
    • 1979
    VIEW 2 EXCERPTS