ASYMPTOTIC STABILITY OF THE SOLUTIONS OF THE HYDRODYNAMICAL MODEL OF SEMICONDUCTORS BASED ON THE MAXIMUM ENTROPY PRINCIPLE: THE CASE OF BULK SILICON

2005 ◽  
Author(s):  
A. M. BLOKHIN ◽  
R. S. BUSHMANOV ◽  
V. ROMANO
Keyword(s):  
Asymptotic Stability ◽  
Maximum Entropy ◽  
Maximum Entropy Principle ◽  
Hydrodynamical Model ◽  
Bulk Silicon ◽  
Entropy Principle

scholarly journals Moment Equations with Maximum Entropy Closure for Carrier Transport in Semiconductor Devices: Validation in Bulk Silicon

VLSI Design ◽  
2000 ◽  
Vol 10 (4) ◽  
pp. 335-354 ◽  
Author(s):  
A. M. Anile ◽  
O. Muscato ◽  
V. Romano
Keyword(s):  
Maximum Entropy ◽  
Moment Method ◽  
Carrier Transport ◽  
Maximum Entropy Principle ◽  
Bulk Silicon ◽  
Moment Equations ◽  
Balance Equations ◽  
Entropy Principle ◽  
Closure Relations ◽  
The Moment

Balance equations based on the moment method for the transport of electrons in silicon semiconductors are presented. The energy band is assumed to be described by the Kane dispersion relation. The closure relations have been obtained by employing the maximum entropy principle.The validity of the constitutive equations for fluxes and production terms of the balance equations has been checked with a comparison to detailed Monte Carlo simulations in the case of bulk silicon.

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