Abstract

The Ginzburg–Landau (GL) equation is derived for the spatially inhomogeneous order parameter (OP) of the He3 type superfluid Fermi liquid (SFL) (composed of electrically neutral fermions with triplet p-wave pairing) for a uniform flow of the normal component of the SFL with a velocity vn≪2Tc/pF (Tc is the temperature of phase transition from the normal to the superfluid state, and pF is the Fermi momentum). The derivation is based on the integrodifferential equation for OP, which is valid at temperatures near Tc in the absence of strong-coupling effects. The main results are the corrections for the coefficients of the OP gradients in the GL equation (caused by the fact that vn≠0), which are calculated in the perturbation theory. These corrections, which indicate the deformation of the OP due to the SFL flow with the velocity vn, can be not only comparable for vn≪2Tc/pF, but also greater than the so-called nontrivial strong-coupling corrections to these coefficients, depending on the value of vn, and hence can be of practical importance for describing He–B3 at low pressures, when the strong-coupling effects are weak.

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