Ordering in Two-Dimensional Lennard-Jones Clusters

<table>Concentration (<svg height="7.1875" id="M80" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.3874998 7.1875" width="7.3874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑐</tspan>
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</g>
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</svg>) versus temperature (<svg height="10.325" id="M81" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
</g>
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</svg>) phase diagram. AB represents SL-LL transition temperatures <svg height="14.35" id="M82" style="vertical-align:-3.22281pt" version="1.1" viewbox="0 0 16.637501 14.35" width="16.637501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.35)">
<g transform="translate(72,-60.52)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">s</tspan>
<tspan style="font-size: 8.75px; " x="3.4045279" y="0">l</tspan>
</text>
</g>
</g>
</svg>, and MN represents LL-GL transition temperatures <svg height="16.625" id="M83" style="vertical-align:-5.04861pt" version="1.1" viewbox="0 0 17.85 16.625" width="17.85" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.625)">
<g transform="translate(72,-58.7)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,60.66)">
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<tspan style="font-size: 8.75px; " x="2.4330561" y="0">g</tspan>
</text>
</g>
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</svg>. On extrapolation AB and MN meet at <svg height="10.325" id="M84" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.75 10.325" width="11.75" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
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</svg>, where <svg height="11.1125" id="M85" style="vertical-align:-0.33858pt" version="1.1" viewbox="0 0 47.650002 11.1125" width="47.650002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1125)">
<g transform="translate(72,-63.11)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">≅</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.63187" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.75762" y="0">8</tspan>
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</svg> and <svg height="11.1125" id="M86" style="vertical-align:-0.33858pt" version="1.1" viewbox="0 0 53.349998 11.1125" width="53.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1125)">
<g transform="translate(72,-63.11)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑐</tspan>
<tspan style="font-size: 12.50px; " x="8.6520758" y="0">≅</tspan>
<tspan style="font-size: 12.50px; " x="20.692465" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="26.943966" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="30.069715" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="36.321217" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

Ordering in Two-Dimensional Lennard-Jones Clusters

Figure 3