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By P.S. Dhogal

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Extra resources for Basic Electrical Engineering: v. 1

Sample text

Thus the rotation has a significant effect on the overall texture, and numerical studies are necessary to obtain the detailed form of the angles a and p for various angular velocities and magnetic field strengths. The same formalism also applies to more general situations, for example, those with the magnetic field tipped relative to the rotation axis. ,. 9 10 Fig. 4. 3 bar. The solid lines refer to a theoretical calculation (Hakonen et al. 1983b, reprinted by permission of the authors and the American Physical Society).

14) depends on both r and 4, it can be expanded in a Fourier series with different angular contributions exp(im4); axisymmetric solutions then become a special case with only m = 0. A small distortion with a single nonzero m leads to a linear problem, and the sign of the eigenvalue determines the stability. Alternatively, finite distortions can be studied with the full GL free energy, but the quartic couplings in eq. 16b) apparently preclude any closed finite set of m values. Preliminary calculations by Salomaa (1984) have found no evidence that such nonaxisymmetric vortices have lower free energy than axisymmetric ones.

As in the case of the transverse modes, the effect of rotation occurs through the change in the overall equilibrium ri texture, which correspondingly alters the position and spacing of the spin-wave eigenvalues. Since the same ri texture determines both the transverse and longitudinal “potentials”, experimental detection of the longitudinal resonances would help confirm the present theoretical picture of the rotating B phase. In principle, other techniques could detect the vortex lines in rotating 3 He-B (or in turbulent B-phase counterflow).

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