A theoretical model to calculate the thermal boundary conductance (Kapitza conductance) or, alternatively, thermal boundary resistance (Kapitza resistance) between a vertically grown mesoscopic nanowire/nanotube and a bulk substrate is presented. The thermal boundary resistance at the interface between the mesoscopic geometry and a three-dimensional substrate is primarily due to two reasons: (1) dimensional mismatch in the phonon density of states and (2) mismatch in the acoustic properties. Our model based on the solution of the elastic wave equation in the substrate and the mesoscopic geometry incorporates both these effects.
BT - J. Appl. Phys. DA - 11/2007 DO - 10.1063/1.2816260 LA - eng M1 - 10 N2 -A theoretical model to calculate the thermal boundary conductance (Kapitza conductance) or, alternatively, thermal boundary resistance (Kapitza resistance) between a vertically grown mesoscopic nanowire/nanotube and a bulk substrate is presented. The thermal boundary resistance at the interface between the mesoscopic geometry and a three-dimensional substrate is primarily due to two reasons: (1) dimensional mismatch in the phonon density of states and (2) mismatch in the acoustic properties. Our model based on the solution of the elastic wave equation in the substrate and the mesoscopic geometry incorporates both these effects.
PB - American Institute of Physics PY - 2007 EP - 104312 T2 - J. Appl. Phys. TI - An acoustic and dimensional mismatch model for thermal boundary conductance between a vertical mesoscopic nanowire/nanotube and a bulk substrate VL - 102 ER -