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In detail, the exact solutions differ significantly from the approximate ones, and the data clearly support the numerical studies. 2) the dominant effect of the induced vortex lines is to modify the equilibrium ti texture. As noted below eq. 35), rotation with d parallel to l&,increases the curvature p, of the polar angle P ( r ) near the center of the cylinder and hence increases the splitting of the transverse spin-wave modes relative to that in a stationary cylinder [see eq. 64)]. L. FETTER ICh.
1, $4 that is linear in the magnetic field H. 01 (lsraelsson et al. 1984), that characterizes the particle-hole asymmetry. When evaluated for an order parameter of the form in eq. 12). 5 for the v vortex (Salomaa and Volovik 1985). Recent experiments (Israelsson et al. 3) is difficult because they are measured outside the GL regime. 2. TEXTURES IN A ROTATING CONTAINER In static equilibrium, the order parameter for the B phase has the form ” the given in eqs. 2). Since the angle 8 is fixed at ~ 1 0 4 by dipole coupling, the only remaining freedom is the spatial orientation of the unit vector ti.
24). Thus h bends throughout a surface layer of thickness 5, from vertical to one of the values given in eq. 24), say n, = (1 /5)1'2 and n+ = (315)'". The resulting texture in a stationary cylinder is axisymmetric, with h exhibiting a spiral pattern near the boundary. To understand the NMR in both stationary and rotating containers filled with B-phase fluid, it will be important to consider this texture in greater detail. The configuration may be parametrized with a pair of angles a and /3, through the relations ti = sin /3 ( i cos a + sin a)+ i cos p .