Ballistic-Diffusive Equations for Transient Heat Conduction From Nano to Macroscales

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Heat Transfer in Thermoelectric Materials and Devices (2013, unknown): “Guided by the understanding that the reduced thermal conductivity in superlattices was due to diffuse interface scattering rather than phonon band structure modification, Yang and Chen [86] suggested that random 3D nanostructures can be exploited to achieve high ZT.”
Phonon hydrodynamics and its applications in nanoscale heat transport (2015, unknown): “In summary, there are mainly four macroscopic methods available for nanoscale heat transport in the literature: phonon hydrodynamic model [61,62], dual-phase-lag model [63,64], ballistic–diffusive model [65,66] and thermon gas model [67,68].”
Multi-length and time scale thermal transport using the lattice Boltzmann method with application to electronics cooling (2006, methodology): “The LBM again shows a similar hot boundary temperature slip to that for the BDE but exhibit a higher temperature inside the domain exhibiting a more prominent ballistic behavior than BDE.”
Peridynamic thermal diffusion (2014, methodology): “One example of this is the ballistic-diffusive heat equation by Chen [7], which was derived from the Boltzmann’s equation, and it accounts for nonlocality in heat transport.”