Free Energy of Three-Dimensional Uniaxial Magnet in the Higher Non-Gaussian Approximation and in the Presence of an External Field

<table>Saturation of the critical exponent <svg height="7.2375002" id="M69" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 7.9749999 7.2375002" width="7.9749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.2375)">
<g transform="translate(72,-66.21)">
<text transform="matrix(1,0,0,-1,-71.95,66.37)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜈</tspan>
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</svg> with increasing order of the <svg height="16.637501" id="M70" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 21.825001 16.637501" width="21.825001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6375)">
<g transform="translate(72,-58.69)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜌</tspan>
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<text transform="matrix(1,0,0,-1,-65.67,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">𝑚</tspan>
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International Scholarly Research Notices

fig2

Figure 2

Figure 2: Free Energy of Three-Dimensional Uniaxial Magnet in the Higher Non-Gaussian Approximation and in the Presence of an External Field 