Evolving Center-Vortex Loops

<table>Highly space-resolved snapshot of an <svg height="10.9125" id="M56" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 40.625 10.9125" width="40.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
<tspan style="font-size: 12.50px; " x="14.103384" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="26.143772" y="0">0</tspan>
</text>
</g>
</g>
</svg> CVL curve-sector. The pressure <svg height="14.3625" id="M57" 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 <svg height="7.5124998" id="M58" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 8.8125 7.5124998" width="8.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.5125)">
<g transform="translate(72,-65.99)">
<text transform="matrix(1,0,0,-1,-71.95,66.04)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐧</tspan>
</text>
</g>
</g>
</svg> is more negative than the pressure <svg height="14.3625" id="M59" 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 sector along <svg height="7.5124998" id="M60" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 8.8125 7.5124998" width="8.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.5125)">
<g transform="translate(72,-65.99)">
<text transform="matrix(1,0,0,-1,-71.95,66.04)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐧</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

Evolving Center-Vortex Loops

Figure 1