scholarly journals EFFECTIVE POTENTIALS AND QUANTUM FLUID MODELS: A THERMODYNAMIC APPROACH

Author(s):  
CHRISTIAN RINGHOFER ◽  
CARL GARDNER ◽  
DRAGICA VASILESKA
2003 ◽  
Vol 13 (03) ◽  
pp. 771-801 ◽  
Author(s):  
CHRISTIAN RINGHOFER ◽  
CARL GARDNER ◽  
DRAGICA VASILESKA

We present a thermodynamic approach to introducing quantum corrections to the classical transport picture in semiconductor device simulation. This approach leads to a modified Boltzmann equation with a quantum corrected force term and to quantum corrected fluid, or quantum hydrodynamic models. We present the quantum interaction of electrons with a gate oxide barrier potential and quantum hydrodynamic simulations of a resonant tunneling diode as application examples.


Fluids ◽  
2018 ◽  
Vol 3 (4) ◽  
pp. 69 ◽  
Author(s):  
Josef Málek ◽  
Kumbakonam Rajagopal ◽  
Karel Tůma

Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives of second order, like those in Burgers’ model, are used to describe the complicated response of fluid like materials that are endowed with a complex microstructure that allows them to possess two different relaxation mechanisms as well as other non-Newtonian characteristics. Such models are used in geomechanics, biomechanics, chemical engineering and material sciences. We show how to develop such rate-type fluid models that include the classical Burgers’ model as well as variants of Burgers’ model, using a thermodynamic approach based on constitutive assumptions for two scalar quantities (namely, how the material stores energy and how the energy is dissipated) and appealing to the concept of natural configuration associated with the placement of the body that evolves as the body deforms.


2014 ◽  
Vol 34 (4) ◽  
pp. 1375-1396
Author(s):  
Philipp Fuchs ◽  
◽  
Ansgar Jüngel ◽  
Max von Renesse ◽  
Keyword(s):  

1998 ◽  
Vol 77 (2) ◽  
pp. 239-243
Author(s):  
S. Franz, G. Parisi

1997 ◽  
Vol 94 ◽  
pp. 849-860 ◽  
Author(s):  
PY Chevalier ◽  
E Fischer ◽  
B Cheynet ◽  
A Rivet ◽  
G Cenerino

Author(s):  
Mark Wilcoxson ◽  
Vasilios Manousiouthakis

2015 ◽  
Vol 14 (5) ◽  
pp. 1231-1240
Author(s):  
Mauri Sergio Alves Palma ◽  
Attilio Converti ◽  
Milena Nakagawa ◽  
Gisele Pigatto ◽  
Alessandra Lodi ◽  
...  

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