Precessing Ball Solitons in Kinetics of  a Spin-Flop Phase Transition

<table>The time dependency of the frequency if  <svg height="11.1375" id="M139" style="vertical-align:-0.27588pt" version="1.1" viewbox="0 0 55.887501 11.1375" width="55.887501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1375)">
<g transform="translate(72,-63.09)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
<tspan style="font-size: 12.50px; " x="10.677562" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.717951" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.969452" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="32.0952" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="38.346703" y="0">9</tspan>
</text>
</g>
</g>
</svg>. Here the initial value of energy is <svg height="14.9" id="M140" style="vertical-align:-3.22281pt" version="1.1" viewbox="0 0 101.8875 14.9" width="101.8875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">i</tspan>
<tspan style="font-size: 8.75px; " x="2.4330561" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="6.8090558" y="0">i</tspan>
<tspan style="font-size: 8.75px; " x="9.2421122" y="0">t</tspan>
</text>
<text transform="matrix(1,0,0,-1,-47.38,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">≅</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="33.920639" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="42.247639" y="0">e</tspan>
<tspan style="font-size: 12.50px; " x="47.798969" y="0">V</tspan>
</text>
</g>
</g>
</svg> (see in Figure <a href="../fig4/">4</a>). The dotted line shows the frequency value corresponding to zero energy.</table>

Physics Research International

fig8

Figure 8

Figure 8: Precessing Ball Solitons in Kinetics of  a Spin-Flop Phase Transition 