Size Effects on Nanowire Phonon Thermal Conductivity: a Numerical Investigation Using the Boltzmann Equation
D. Abouelaoualim
LPSCM, Department of Physics, Faculty of Sciences, Semlalia, Cadi Ayaad University, P.O. Box 2390, 40000 Marrakech, Morocco
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Received: 07 03 2007;
Analytical solution of the Boltzmann transport equation for phonon transport in Bi0.95Sb0.05 nanowire is obtained. Thermal conductivity was calculated from the analytical solution of the Boltzmann transport equation. We calculate the lattice thermal conductivity of Bi0.95Sb0.05 nanowire as a function of temperature for different wire thicknesses. The results show that thermal conductivity of nanowire can be significantly smaller than the bulk thermal conductivity. We show that low thermal conductivity Bi0.95Sb0.05 nanowire for thermoelectric applications would have a small diameter.
DOI: 10.12693/APhysPolA.112.49
PACS numbers: 63.22.+m, 87.15.Aa