2020/04/12 by Gábor Balassa, Patrizia Rogolino, Balassa, Gábor +5
Earth and Planetary Sciences · Engineering · Materials Science · #FOS: Physical sciences #High-pressure geophysics and materials #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Statistical Mechanics (cond-mat.stat-mech) #Thermal properties of materials #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.2004.06659
openalex publication_date 2020/04/12 · openalex created_date 2020/04/24 · openalex updated_date 2026/07/28
Among the three heat conduction modes, the ballistic propagation is the most difficult to model. In the present paper, we discuss its physical interpretations and showing different alternatives to its modeling. We highlight two of them: a thermo-mechanical model in which the generalized heat equation - the so-called Maxwell-Cattaneo-Vernotte equation - is coupled to thermal expansion. At the same time, the other one uses internal variables. For the first one, we developed a numerical solution and tested on the heat pulse experiment performed by McNelly et al.~on NaF samples. For the second one, we found an analytical solution that emphasizes the role of boundary conditions. This analytical method is used to validate the earlier developed numerical code.