Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 14, No 1, (2003), 45p-57p
Abstract:
In this paper a stochastic approach is proposed for investigation the ultrafast
evolution of electrons interacting with phonons in the presence of an applied
electric field.
The quantum-kinetic equation describing the above ultrafast phenomena
contains polynomial non-linearity which allows to use the link between non-stationary iterative processes and the branching stochastic processes.
The considered stochastic approach relies on the numerical Monte Carlo
(MC) theory as applied to the integral form of the quantum-kinetic equation
and estimates the electron energy distribution using statistical averages over
long evolution times.
The numerical tests were performed for GaAs material parameters. The
numerical results for the electron energy distribution function in the case
of a non-linear electron quantum transport is compared with the obtained
results in the linear case.