Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Closure relations problem of hydrodynamical models in semiconductors is considered by expressing third- and fourth-order closure relations for the moments of the distribution function in terms of second-order Lagrange multipliers using a generalized Maxwell-Boltzmann distribution function within information theory.
Calculation results are commented and compared with others to justify the accuracy of the approach developed in this paper.
The comparison involves, in the first part with good agreements, the closure relations results obtained within extended thermodynamics which were checked by means of Monte Carlo simulations, in the second part, the results obtained by Grad's method which expands the distribution function up to fourth-order in Hermite polynomials.
It is seen that the latter method cannot give any restriction on closure relations for higher-order moments, within the same conditions proposed in our approach.
The important role of Lagrange multipliers for the determination of all closure relations is asserted.
American Psychological Association (APA)
Salhoumi, A.. 2013. Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models. Journal of Thermodynamics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-507759
Modern Language Association (MLA)
Salhoumi, A.. Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models. Journal of Thermodynamics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-507759
American Medical Association (AMA)
Salhoumi, A.. Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models. Journal of Thermodynamics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-507759
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507759