Full nonlinear closure for a hydrodynamic model of transport in silicon

M. Trovato and P. Falsaperla
Phys. Rev. B 57, 4456 – Published 15 February 1998; Erratum Phys. Rev. B 57, 12617 (1998)
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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 n+nn+ 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

Erratum

Authors & Affiliations

M. Trovato and P. Falsaperla

  • Dipartimento di Fisica, Università di Catania, Corso Italia 57, 95129 Catania, Italy

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Vol. 57, Iss. 8 — 15 February 1998

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