Elastic energy transfer and thermalization in a lattice and the phenomenon of thermal fireballs
Here we present a numerical model of a cubic lattice with linear elasticity and random heat sources on the upper and lower boundaries. Methods for visualizing the kinetics of energy penetration and recording the history of events in such a system are considered, and some general results are obtained for the two- and three-dimensional cases. The origin and propagation of localized energy states, as well as the emergence of the so-called thermal resistance are studied. It is shown that thermal resistance at the interfaces of media with different parameters can be used for efficient heat removal and elimination of side effects in the study of friction within a modified Tomlinson-Prandtl model, in which energy losses are due to the generation of strains in the substrate.