@article{Prasher2006-uf,
  author = {Ravi S Prasher and Patrick E Phelan},
  title = {Microscopic and macroscopic thermal contact resistances of pressed mechanical contacts},
  abstract = {<p><span>Contact\&nbsp;</span>heat transfer<span>\&nbsp;at mechanical pressed contacts between two materials is very important in many applications. There are two types of thermal\&nbsp;</span>contact resistance<span>\&nbsp;at the interface of two solids. One of them is due to the constriction of heat flow lines at the interface, commonly known as\&nbsp;</span><em>thermal\&nbsp;contact resistance</em><span>, and the engineering literature has extensively dealt with this macroscopic phenomenon. The other type of constriction\&nbsp;</span>resistance<span>\&nbsp;is instead microscopic in nature. If the characteristic dimension of the constriction becomes comparable to the mean free path of the heat carriers (i.e., electrons and\&nbsp;</span>phonons),<span>\&nbsp;then there is a\&nbsp;</span>ballistic<span>\&nbsp;component to the constriction\&nbsp;</span>resistance.<span>\&nbsp;For different materials on the two sides, thermal boundary\&nbsp;</span>resistance<span>\&nbsp;due to\&nbsp;</span>phonon<span>\&nbsp;acoustic mismatch and to electron-phonon interaction in the case of metals becomes important. Here a unified\&nbsp;</span>model<span>\&nbsp;is developed which bridges the gap between the macroscopic constriction\&nbsp;</span>resistance<span>\&nbsp;and the microscopic\&nbsp;</span>contact resistance<span>\&nbsp;for pressed mechanical contacts. The\&nbsp;</span>model<span>\&nbsp;predictions are in good agreement with experimental data for a mechanically pressed\&nbsp;</span><span class="equationTd inline-formula"><span id="MathJax-Element-1-Frame" class="MathJax" data-mathml="\&lt;math xmlns=\&quot;http://www.w3.org/1998/Math/MathML\&quot; display=\&quot;inline\&quot; overflow=\&quot;scroll\&quot; altimg=\&quot;eq-00001.gif\&quot;\&gt;\&lt;mrow\&gt;\&lt;mi mathvariant=\&quot;normal\&quot;\&gt;Cu\&lt;/mi\&gt;\&lt;mo\&gt;\&amp;$\#$x2215;\&lt;/mo\&gt;\&lt;mi mathvariant=\&quot;normal\&quot;\&gt;Si\&lt;/mi\&gt;\&lt;/mrow\&gt;\&lt;/math\&gt;"><span id="MathJax-Span-1" class="math"><span><span><span id="MathJax-Span-2" class="mrow"><span id="MathJax-Span-3" class="mrow"><span id="MathJax-Span-4" class="mi">Cu</span><span id="MathJax-Span-5" class="mo">/</span><span id="MathJax-Span-6" class="mi">Si</span></span></span></span></span></span><span class="MJX_Assistive_MathML">Cu/Si</span></span></span><span>\&nbsp;interface.</span></p>},
  year = {2006},
  booktitle = {J. Appl. Phys.},
  journal = {J. Appl. Phys.},
  series = {J. Appl. Phys.},
  volume = {100},
  number = {6},
  pages = {063538},
  month = {09/2006},
  institution = {American Institute of Physics},
  publisher = {American Institute of Physics},
  doi = {10.1063/1.2353704},
  language = {eng},
}