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A method to calculate the thermal conductivity of HMX under high pressure
Authors:Y. Long  Y.G. Liu  F.D. Nie
Affiliation:1. Laboratory of Computational Physics , Institute of Applied Physics and Computational Mathematics , P. O. Box 8009, Beijing, 100088 , China;2. Institute of Chemical Materials, CAEP , Mianyang, 621900 , China
Abstract:A method based on Debye theory is developed to calculate the thermal conductivity of octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX). The phonon–phonon interaction model is built up for solid HMX. The phonon lifetime formula is derived by the phonon–phonon scattering mechanism, and the thermal conductivity tensor is derived by the phonon dispersion model. The thermal conductivities of α/β/δ-HMX are calculated in the temperature range 0–700?K and pressure range of 0–10?GPa. The phonon softening process of HMX is investigated. We have proven that the Debye frequency and thermal conductivity tend to 0 at the phonon softening point. A physical picture of the phonon–phonon interaction, phonon lifetime and phonon softening is built up.
Keywords:phonon–phonon interaction  phonon lifetime  phonon softening
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