  Hot electrons formed in a graphene crystal by high-intensity short-duration
laser pulses can exist for a time that is less than an electron-phonon energy
relaxation time. During that time, electron-electron collisions cause the
electrons to thermalize to a local effective temperature that propagates
(diffuses) through graphene. The non-uniform nature of the electron temperature
leads to a force acting on the graphene lattice. This force is the result of
the electron-lattice interaction that exists even at times that are less than
the electron-phonon scattering time. The force causes the lattice to deform. A
Boltzmann equation description of the transient electron-lattice deformation
causes by hot electrons in graphene is presented.
