Calculation of Leggett-Takagi relaxation in vortices of superfluid 3He-B

TL;DR

This paper analytically calculates the Leggett-Takagi relaxation in superfluid 3He-B vortices, providing a formula for energy dissipation depending on magnetic field orientation and magnetization angle.

Contribution

It introduces an analytical method to evaluate Leggett-Takagi relaxation in superfluid 3He-B vortices, linking dissipation to magnetic and vortex parameters.

Findings

Derived an expression for dissipated power per vortex length.

Showed dependence of relaxation on magnetic field orientation.

Provided insights into vortex dynamics in superfluid 3He-B.

Abstract

We calculate the relaxation of Brinkman-Smith mode via Leggett-Takagi relaxation in the presence of an isolated vortex in superfluid 3He-B. The calculation is based on an analytical solution of the order parameter far from the vortex axis. We obtain an expression for the dissipated power per vortex length as a function of the tipping angle of the magnetization and the orientation of the static magnetic field with respect to the vortex.