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We discuss the general properties of periodic vortex arrangements in rotatingsuperfluids. The different possible structures are classified according to thesymmetry space-groups and the circulation number. We calculate numericallyseveral types of vortex structures in superfluid 3He-A. The calculations aredone in the Ginzburg-Landau region, but the method is applicable at alltemperatures. A phase diagram of vortices is constructed in the plane formed bythe magnetic field and the rotation velocity. The characteristics of the sixequilibrium vortex solutions are discussed. One of these, the locked vortex 3,has not been considered in the literature before. The vortex sheet forms theequilibrium state of rotating 3He-A at rotation velocities exceeding 2.6 rad/s.The results are in qualitative agreement with experiments.

physical review. b, condensed matter

Periodic vortex structures in superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi></mml:math>

Periodic vortex structures in superfluid3He−A