Dynamics of interaction of radially symmetric topological solitons in two-dimensional nonlinear sigma model

TL;DR

This paper investigates the dynamics and stability of radially symmetric topological vortices in a 2D nonlinear sigma model through numerical simulations, revealing how their decay and stability depend on their energy density structure.

Contribution

It introduces a numerical model for vortex decay in the 2D nonlinear sigma model, highlighting the dependence of soliton stability on the energy density radius.

Findings

Vortex decay models depend on initial radius.

Stability is influenced by the ring-shaped energy density.

Decay preserves the total Hopf index.

Abstract

By methods of numerical simulations the dynamics of interaction of radially symmetric Bellavin-Polyakov type topological vortex in (2+1)-dimensional O(3) nonlinear sigma model is investigated. Obtained numerically the model of topological vortex decay for different values of radius of ring-shaped structure of their energy density onto the localized perturbations, where the sum of Hopf index is preserved. It is shown that the stability of topological solitons, in particularly, depends on the values of radius of ring-shaped structure of their energy density.