Incorporating full band-structure effects in the spherical harmonics expansion of the Boltzmann transport equation

2002 ◽  
Author(s):  
M.C. Vecchi ◽  
D. Ventura ◽  
A. Gnudi ◽  
G. Baccarani
Keyword(s):  
Band Structure ◽  
Transport Equation ◽  
Spherical Harmonics ◽  
Boltzmann Transport Equation ◽  
Boltzmann Transport ◽  
Full Band ◽  
Spherical Harmonics Expansion ◽  
Full Band Structure

scholarly journals An Efficient Solution Scheme for the Spherical-Harmonics Expansion of the Boltzmann Transport Equation Applied to Two-Dimensional Devices

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 239-242
Author(s):  
Maria Cristina Vecchi ◽  
Jan Mohring ◽  
Massimo Rudan
Keyword(s):  
Transport Equation ◽  
Spherical Harmonics ◽  
Numerical Scheme ◽  
Boltzmann Transport Equation ◽  
Boltzmann Transport ◽  
Cpu Time ◽  
Low Energies ◽  
Energy Domain ◽  
The Mean ◽  
Spherical Harmonics Expansion

This paper presents a novel numerical scheme applicable to the solution of the Boltzmann transport equation by means of a spherical-harmonics expansion. This scheme improves the solution at low energies, keeping the desired accuracy in the calculation of the mean quantities while saving a significant amount of CPU time. This is important in view of the applications of the method, since the typical number of nodes to be used in the combined space-energy domain is in the range of 104–105.

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