Dynamics of $\vartheta$-solitons in the HPD state of superfluid $^3$He-B

TL;DR

This paper presents a numerical study of the spin dynamics of $ heta$-solitons in the HPD state of superfluid helium-3 B, revealing their motion, mass density, tension, and oscillations.

Contribution

It provides new insights into the behavior and properties of $ heta$-solitons in superfluid $^3$He-B, including their dynamics and stability in different geometries.

Findings

Mutual motion of soliton cores and tails observed in 1D simulations.

Analysis of mass density and tension of the soliton membrane.

Observation of 3D oscillations in a cylindrical cell.

Abstract

In this note we present numerical study of spin dynamics of $\vartheta$-soliton in Homogeneously precessing domain (HPD) in superfluid $^3$He-B. The soliton consists of a small heavy core and long tails, in 1D simulation we observe their mutual motion. We also discuss mass density and tension of the soliton membrane and its 3D oscillations in a cylindrical cell.