Abstract
We derive, using the entropy maximum principle, an expression for the distribution function of carriers as a function of a set of macroscopic quantities (density, velocity, energy, deviatoric stress, heat flux). Given the distribution function, we can obtain a hydrodynamic model in which all the constitutive functions (fluxes and collisional productions) are explicitly computed starting from their kinetic expressions. We have applied our model to the simulation of the thermodynamic properties of bulk silicon and of some submicrometer Si devices (with several doping profiles and applied biases), obtaining results comparable with Monte Carlo simulations. Computation times are of order of few seconds for a picosecond of simulation.
- Received 8 September 1997
DOI:https://doi.org/10.1103/PhysRevB.57.4456
©1998 American Physical Society