Stable Vortex Configurations in a Cylinder

R. J. Zieve1, L. A. K. Donev1
1Physics Department, University of California, Davis, U.S.A

Tóm tắt

We calculate stable arrangements for a single superfluid vortex pinned to the wall of a stationary cylindrical container. We find that, independent of the details of the pinning site, stable vortices must subtend most of the cell horizontally and cannot be vertical or nearly vertical. More generally, the geometry of a container severely limits the possible vortex configurations, making macroscopic trapped vortices less common than previously believed.

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Tài liệu tham khảo

R. J. Donnelly, Quantized Vortices in Helium II, Cambridge University Press, Cambridge (1991).

C. F. Barenghi, R. J. Donnelly, and W. F. Vinen, J. Low Temp. Phys. 52 189 (1983).

M. R. Smith, R. J. Donnelly, N. Goldenfeld, and W. F. Vinen, Phys. Rev. Lett. 71, 2583 (1993).

S. L. Davis, P. C. Hendry, and P. V. E. McClintock, Physica B 280, 43 (2000).

M. Abid et al., Euro. J. Mech. B, Fluids 17, 665 (1998).

C. Nore, M. Abid, and M. E. Brachet, Phys. Rev. Lett. 78, 3896 (1997); Phys. Fluids 9, 2644 (1997).

R. J. Zieve et al., Phys. Rev. Lett. 68, 1327 (1992); J. Low Temp. Phys. 91, 315 (1993).

R. J. Zieve, J. D. Close, J. C. Davis, and R. E. Packard, J. Low Temp. Phys. 90, 243 (1993).

K. W. Schwarz, Phys. Rev. B 47, 12030 (1993).

K. W. Schwarz, Phys. Rev. B 31, 5782 (1985).

D. C. Samuels, Phys. Rev. B 46, 11714 (1992).

M. Tsubota and S. Maekawa, Phys. Rev. B 47, 12040 (1993).

R. G. K. M. Aarts and A. T. A. M. de Waele, Phys. Rev. B 50, 10069 (1994).

R. G. K. M. Aarts, Thesis, Technische Universiteit Eindhoven (1993).

C. F. Barenghi, D. C. Samuels, G. H. Bauer, and R. J. Donnelly, Phys. Fluids 9, 2631 (1997).

Ref. 1, pp. 213-214.

K. W. Schwarz, Phys. Rev. Lett. 47, 251 (1981).

S. G. Hedge and W. I. Glaberson, Phys. Rev. Lett. 45, 190 (1980).

W. I. Glaberson and R. J. Donnelly, Phys. Rev. 141, 208 (1966).

L. Hough, L. A. K. Donev, and R. J. Zieve (to be published).

D. D. Awschalom and K. W. Schwarz, Phys. Rev. Lett. 52, 49 (1984).