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

<table>The control volume where the conductive analysis is preformed. <svg height="16.5875" id="M17" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 15.975 16.5875" width="15.975" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.5875)">
<g transform="translate(72,-58.73)">
<text transform="matrix(1,0,0,-1,-71.95,62)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑞</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.72,67.01)">
<tspan style="font-size: 8.75px; " x="-0.5" y="8.1300001">𝑠</tspan>
<tspan style="font-size: 8.75px; " x="0" y="0"></tspan>
<tspan style="font-size: 8.75px; " x="2.9756801" y="0"></tspan>
</text>
</g>
</g>
</svg> is the constant heat flux released from the MNP after absorbing the magnetic energy and <i>δ</i> is the thickness of the penetration region [<a href="/journals/jamp/2012/135708/#B37">37</a>].</table>

Journal of Atomic and Molecular Physics

fig2

Figure 2

Figure 2: An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle 