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cond-mat.stat-mech2018
A Stochastic Analysis of Steady and Transient Heat Conduction in Random Media Using a Homogenization Approach
Zhijie Xu
We present a new stochastic analysis for steady and transient one-dimensional heat conduction problem based on the homogenization approach. Thermal conductivity is assumed to be a…
cond-mat.stat-mech2018
Phonon excitation and energy redistribution in phonon space for energy transport in one-dimensional lattice with nonlinear dispersion
Zhijie Xu
We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions…