Abstract
A novel contribution of this work has been to develop the equations of Guyer and Krumhansl (GK) in a first principles framework considering the maximization of the entropy to obtain a fully predictive model to compute the thermal conductivity of semiconductors. These equations have been combined with Extended Irreversible Thermodynamics (EIT) to obtain a hydrodynamic equation to describe the heat flux beyond the Fourier law including non-local and memory effects able to reproduce recent experiments under ultra-fast heating or high temperature gradients. All these set of equations to describe the thermal conductivity and heat flux is what conforms the Kinetic Collective Model (KCM) framework.
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Torres Alvarez, P. (2018). Conclusions. In: Thermal Transport in Semiconductors. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-94983-3_8
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DOI: https://doi.org/10.1007/978-3-319-94983-3_8
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