This is a supplementary material for arxiv:1303.3044,
These results were shown at the workshop Quantised Flux in Tightly Knotted and Linked Systems, held in Cambridge, UK (Dec. 3-7 2012). See the corresponding talk of M. S. Volkov. See the published version in Phys. Rev. Lett.
Introduction
The Witten model is described by the action \begin{equation*} A =\int d^4x \Bigg[ \sum_a\Big\{ (D_\mu\Phi_a)^*D^\mu\Phi_a -\frac{\lambda_a}{4}\left( |\Phi_a|^2-\eta^2_a\right)^2 \Big\} -\gamma |\Phi_1|^2 |\Phi_2|^2 \Bigg] \end{equation*}

Description of the simulations: Movies show the relativistic evolution (wave equation) in 3+1 with a semi-implicit time discretization using $\beta$-Newmark method. The spatial discretization is done with a Finite-Element decomposition over spherical domain, equipped with tetrahedral mesh obtain by Delaunay-Voronoi tetrahedrizations. The initial configuration by minimization of the axially symmetric configuration. At the boundary, the fields are fixed to their initial (vacuum) value, that is $\partial_t\phi_a=0$. Thus the integration domain is a `confining box'. This means that the vorton cannot escape the box.
Stable regimes is run much longer than unstable ones, just to make sure they are not just longer-lived.
The displayed quantities are: The isosurfaces are surfaces of constant density of the second scalar field $|\phi_2|^2$. Blue to Red colors shows small to big densities. The arrows represent the associated Noether current (supercurrent) $~\mathrm{Im}(\phi_2^*\partial_k\phi_2)$. Some simulations just show one (outter) isosurface of $|\phi_2|^2$ (in blue).
1. Unstable vortons :
This shows the time evolution of thin unstable vortons. Note that the evolution reflects the fact that simulation is done in a closed box. Indeed, after destruction due to the pinching instability, the three lumps should escape. But since they live in a closed box, they can bounce and recombine to form a bigger lump.

This shows the time evolution of a thin unstable vorton. It corresponds to the first line displayed in Fig. 3 of tha paper. This is a $m=6$, $Q=24000$ vorton.

This shows the time evolution of a thin unstable vorton. It corresponds to the second line displayed in Fig. 3 of tha paper. This is a $m=3$, $Q=12000$ vorton.
2. Stable vorton :
This shows the (relativistic) dynamical evolution of a thick, stable vorton.