Center-Vortex Loops with One Self-Intersection

<table>Highly space-resolved snapshot of a CVL segment. The pressure <svg height="14.3625" id="M26" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 13.4375 14.3625" width="13.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
<g transform="translate(72,-60.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑖</tspan>
</text>
</g>
</g>
</svg> in the region pointed to by the normal vector <b><svg height="7.3125" id="M27" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 7.9375 7.3125" width="7.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.3125)">
<g transform="translate(72,-66.15)">
<text transform="matrix(1,0,0,-1,-71.95,66.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">n</tspan>
</text>
</g>
</g>
</svg></b> is more negative than the pressure <svg height="14.3625" id="M28" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 14.9 14.3625" width="14.9" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
<g transform="translate(72,-60.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑒</tspan>
</text>
</g>
</g>
</svg> thus leading to a motion of the segment along <b><svg height="7.3125" id="M29" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 7.9375 7.3125" width="7.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.3125)">
<g transform="translate(72,-66.15)">
<text transform="matrix(1,0,0,-1,-71.95,66.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">n</tspan>
</text>
</g>
</g>
</svg></b>.</table>

International Scholarly Research Notices

Center-Vortex Loops with One Self-Intersection

Figure 3