Phonon Transport Across Mesoscopic Constrictions

Druv Singh, Birck Nanotechnology Center, Purdue University
Jayathi Y. Murthy, Birck Nanotechnology Center, Purdue University
Timothy S. Fisher, Birck Nanotechnology Center, Purdue University

Date of this Version



J. Heat Transfer 133(4), 042402 (Jan 11, 2011)


Phonon transport across constrictions formed by a nanowire or a nanoparticle on a substrate is studied by a numerical solution of the gray Boltzmann transport equation (BTE) resolving the effects of two length scales that govern problems of practical importance. Predictions of total thermal resistance for wire/substrate and particle/substrate combinations are made for the entire range of Knudsen number, with an emphasis on resolving transport in the mesoscopic regime where ballistic-diffusive mechanisms operate and analytical expressions are not available. The relative magnitudes of bulk and constriction resistance are established, and a correlation for overall thermal resistance spanning the range of practical Knudsen numbers is provided. [DOI: 10.1115/1.4002842]


Nanoscience and Nanotechnology