An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle

<table>The temperature profile for a PMP-shaped MFP plotted as a function of time and as a function of the observation point located at a distance, <svg height="7.0124998" id="M219" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.0125)">
<g transform="translate(72,-66.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
</g>
</g>
</svg>, from the surface of the MNP; <svg height="7.0124998" id="M220" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.0125)">
<g transform="translate(72,-66.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
</g>
</g>
</svg> ranging from 0 nm to 10 nm for a core radius of 10 nm for <svg height="11.1" id="M221" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 48.4375 11.1" width="48.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<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">2</tspan>
<tspan style="font-size: 12.50px; " x="32.395271" y="0">5</tspan>
</text>
</g>
</g>
</svg>. </table>

Journal of Atomic and Molecular Physics

fig11

Figure 11

Figure 11: An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle 