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Article overview
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Stochastic theory of quantum vortex on a sphere | Hiroshi Kuratsuji
; | Date: |
1 Sep 2011 | Abstract: | A stochastic theory is presented for a quantum vortex that is expected to
occur in superfluids coated on two dimensional sphere $ {
m S}^2 $. The
starting point is the canonical equation of motion (the Kirchhoff equation) for
a point vortex, which is derived using the time-dependent Landau-Ginzburg
theory. The vortex equation, which is equivalent to the spin equation, turns
out to be the Langevin equation, from which the Fokker-Planck equation is
obtained by using the functional integral technique. The Fokker-Planck equation
is solved for several typical cases of the vortex motion by noting the specific
form of pinning potential. An extension to the non-spherical vortices is
briefly discussed for the case of the vortex on plane and pseudo-sphere. | Source: | arXiv, 1109.0123 | Services: | Forum | Review | PDF | Favorites |
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