By Edwin Bidwell Wilson
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J. B. Gunn, Solid State Commun. 1, 88 (1963). 5. J. B. Gunn, Procs. Symposium on Plasma Effects in Solids, Dunod, Paris, 199-207 (1965). 6. J. B. Gunn, J. Phys. Soc. ) 2 1 , 505 (1966). 7. A. Matsumura and T. Nishida, Lecture Notes in Num. Appl. Anal. 10, 49 (1989). A T W O P O P U L A T I O N MODEL FOR ELECTRON T R A N S P O R T I N SI A. M. ANILE Dipartimento di Matematica ed Informatica, Universita di Catania, Viale A. it G. it In this work we present a fluid dynamical model for electron transport in silicon which takes direct account of highly energetic electrons by introducing macroscopic quantities averaged over the tail electron population.
1-2) with N Vn(x)=5>,nX«(x) (n = l , 2 , . . , M ) . (27) i=i The above relations (26),(27) hold for any M Inversion of the constraint relations In order to express the Lagrange multipliers in terms of the fundamental moments, we have to invert the system of equations (3), (4) where JH and fc are substituted by the maximum entropy distributions. 2 SA, (10) XSA = bf2 V\ + # 2 SA, where d£(\Av)=[ £k^£(l + a£)(l + 2a £) e x p ( - A ^ with A£H = (£, +oo) and A£c = (0,£). gA ^(Ajf) = | ^ ! )2-P$PU ^"3 mAd- P$ -P? l-pf^J' (12) with pi = JAA £k \%+2aa££r2 e x p ( - A y £)d£, A = H,C. For the inversion of the functions (11) we have resorted to a numerical approach. A Statistical Discussion of Sets of Precise Astronomical Measurements Parallaxes by Edwin Bidwell Wilson
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