▎ 摘　　要

Thermal effects in monolayer graphene under an electron flow are investigated with a Monte Carlo (MC) analysis. The crystal heating is described by simulating the phonon dynamics. In particular, the balance equations for the energy of acoustic, Gamma optical, and K phonons are deduced. They contain a heating source which is evaluated by counting the emission and absorption processes during the MC simulation of electron flow. The rate of temperature rise is obtained for several Fermi energies and applied electric voltages.