Phonon vortex dynamics in graphene ribbon by solving Boltzmann transport equation with ab initio scattering rates

In this work, we study thermal phonon vortex in graphene ribbon by a discrete-ordinate solution of Boltzmann equation under Callaway's dual relaxation model. The scattering rates normal and resistive processes are acquired from ab initio calculation without need any empirical input parameters. temperature, size isotope effects on transition transport to conventional Fourier's heat conduction both simple complex geometries investigated. physical mechanism for the evolution is declared wide mean free path distribution processes. A hierarchical series obtained with primary, secondary terniary vortexes complicated geometry. present work provides an accurate efficient multi-scale numerical framework modeling hydrodynamic high-thermal-conductivity materials also sheds light dissipation applications.