Calculation of impact ionization coefficients with a third‐order Legendre polynomial expansion of the distribution function

Autor:	Neil Goldsman, Shiuh-Luen Wang, K. Hennacy
Rok vydání:	1992
Předmět:	Physics Associated Legendre polynomials Impact ionization Distribution function Quantum electrodynamics Monte Carlo method Mathematical analysis Finite difference General Physics and Astronomy Series expansion Legendre polynomials Boltzmann equation
Zdroj:	Journal of Applied Physics. 71:1815-1822
ISSN:	1089-7550 0021-8979
DOI:	10.1063/1.351188
Popis:	Values for impact ionization coefficients are calculated from the electron momentum distribution function. The distribution function is found by solving the Boltzmann transport equation. The solution is obtained by combining a third‐order Legendre polynomial expansion with numerical methods which employ finite differences and sparse‐matrix algebra. The calculated values for impact ionization agree with experiment and Monte Carlo simulations. Results obtained while using three versus two Legendre polynomials are compared. Calculations performed using three Legendre polynomials predict one half the impact ionization rate given by similar calculations using only two polynomials. Calculations predict that phonon scattering plays a much more significant role in carrier transport than does impact ionization.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c21beffe3fb98cb1cd82b13f84476e3 https://doi.org/10.1063/1.351188 Zobrazit plný text záznamu