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

<table>The absolute maximal temperature rise rate was plotted as a function of the number of harmonics summed, <svg height="10.325" id="M277" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" 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">𝑁</tspan>
</text>
</g>
</g>
</svg>, and as a function of the core radius for a periodic discontinuous cosine MFP having a pulsed width of <svg height="14.7125" id="M278" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 33.6875 14.7125" width="33.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="9.3772497" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="15.62875" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-49.44,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
</g>
</g>
</svg>; <svg height="7.1750002" id="M279" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 7.9749999 7.1750002" width="7.9749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
</text>
</g>
</g>
</svg>—ranging from 5 nm to 15 nm, the observation point are on the surface of the MNP.</table>

Journal of Atomic and Molecular Physics

fig16

Figure 16

Figure 16: An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle 