Phonon hydrodynamics uses the fields of the total energy and the heat flux as state variables. We extend it by promoting the microscopic internal energy field into the status of an extra independent state variable. The governing equations of both the phonon and the extended (two temperature) phonon hydrodynamics are formulated as particular realizations of the abstract GENERIC equation. Such unified formulation makes both theories manifestly compatible with mechanics and thermodynamics. Also differences and similarities (in the physical content, in the mathematical structure, and in qualitative properties of solutions) between the two heat transfer theories, as well as their mutual compatibility, become manifestly displayed.
Y. C. Hua and B. Y. Cao, Slip boundary conditions in ballistic–diffusive heat transport in nanostructures, Nanoscale Microscale Thermophys. Eng.. 21 (2017), no. 3, 159–176.10.1080/15567265.2017.1344752)| false
M. Pavelka, V. Klika and M. Grmela, Multiscale Thermo-Dynamics, de Gruyter, Berlin, 2018.
B. Y. Cao and Z. Y. Guo, Equation of motion of a phonon gas and non-Fourier heat conduction, J. Appl. Phys.102 (2007), no. 5.
Z. Y. Guo and Q. W. Hou, Thermal wave based on the thermomass model, J. Heat Transf.132 (2010), no. 7, 072403.
Y. Dong, B. Y. Cao and Z. Y. Guo, Generalized heat conduction laws based on thermomass theory and phonon hydrodynamics, J. Appl. Phys.110 (2011), no. 6.
Z. Y. Guo, Energy-mass duality of heat and its applications. ES Energy and Environ. (2018).
Y. Dong, B. Y. Cao and Z. Y. Guo, General expression for entropy production in transport processes based on the thermomass model, Phys. Rev. E, Stat. Nonlinear Soft Matter Phys.85 (2012), no. 6 Pt 1, 061107.
Y. Dong and Z. Y. Guo, Entropy analyses for hyperbolic heat conduction based on the thermomass model, Int. J. Heat Mass Transf.54 (2011), no. 9-10, 1924–1929.
Y. Dong and Z. Y. Guo, Entropy analyses for hyperbolic heat conduction based on the thermomass model, Int. J. Heat Mass Transf.54 (2011), no. 9-10, 1924–1929.10.1016/j.ijheatmasstransfer.2011.01.011)| false
Y. Dong, B. Y. Cao and Z. Y. Guo, Size dependent thermal conductivity of Si nanosystems based on phonon gas dynamics. Physica E, Low-Dimens. Syst. Nanostruct.56 (2014), 256–262.10.1016/j.physe.2013.10.006)| false
Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on non-equilibrium phenomena and on analytic or numeric modeling for their interpretation.