Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 67 No. 5 (1982) pp. 1633-1636

[ Full Text PDF : FREE ACCESS (199K) ]

Letters

Dynamics of Vortices in Two-Dimensional Spin Fluids

Shozo Takeno and Shigeo Homma*

Department of Physics, Kyoto Technical University, Kyoto 606
*Department of Applied Physics, Faculty of Engineering, Nagoya University, Nagoya 464

(Received January 11, 1982)

Abstract:

Equations of motion for vortices in two-dimensional (2d) spin fluids are shown to be identical to those for vortices in 2d fluid dynamics. This result does not depend on the details of original spin models. A possible existence of chaotic behaviors of spin vortices is suggested.


URL : http://ptp.ipap.jp/link?PTP/67/1633/
DOI : 10.1143/PTP.67.1633

[ Full Text PDF : FREE ACCESS (199K) ] Citation:


References:

  1. A. A. Belavin and A. M. Polyakov, JETP Lett. 22 (1975), 245.
  2. S. Takeno and S. Homma, Prog. Theor. Phys. 65 (1981), 1844[PTP].
  3. S. Homma, T. Aoki and S. Takeno, Prog. Theor. Phys. 66 (1981), 1590[PTP].
  4. V. A. Fateev, I. V. Frolov and A. S. Schwartz, Nucl. Phys. B 154 (1979), 1[CrossRef].
  5. B. Berg and M. Luscher, Commun. Math. Phys. 69 (1979), 57[CrossRef].
  6. R. J. Creswick and H. L. Morrison, Phys. Lett. A 76 (1980), 267[CrossRef].
  7. E. A. Novikov and Y. B. Sedov, Sov. Phys. -JETP 48 (1978), 440.
    See also, E. A. Novikov, Sov. Phys. -JETP 41 (1976), 937.
  8. H. Aref and N. Pomphrey, Phys. Lett. A 78 (1980), 297[CrossRef].
  9. S. Takeno and S. Homma, Prog. Theor. Phys. 65 (1981), 172[PTP].
  10. See also, J. S. Langer, Phys. Rev. 167 (1968), 183[APS]; ibid. 184 (1969), 219[APS].
  11. See, for example, G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, 1967), chaps. 2 and 7.
  12. See, for example, G. A. Williams and R. E. Packard, Phys. Rev. Lett. 33 (1974), 280[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 773-789 :
    Dynamics of Vortices in Bose Fluids and Classical Continuous Spin Models
    Shozo Takeno and Shigeo Homma
  2. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 33-37 :
    Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
    Yuji Ishimori