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The Effect of Elastic and Inelastic Scattering on Electronic Transport in Open Systems
- Source :
- International Journal of Applied Mathematics and Computer Science, Vol 29, Iss 3, Pp 427-437 (2019)
- Publication Year :
- 2019
- Publisher :
- Walter de Gruyter GmbH, 2019.
-
Abstract
- The purpose of this study is to apply the distribution function formalism to the problem of electronic transport in open systems, and to numerically solve the kinetic equation with a dissipation term. This term is modeled within the relaxation time approximation and contains two parts, corresponding to elastic or inelastic processes. The collision operator is approximated as a sum of the semi-classical energy dissipation term and the momentum relaxation term, which randomizes the momentum but does not change the energy. As a result, the distribution of charge carriers changes due to the dissipation processes, which has a profound impact on the electronic transport through the simulated region discussed in terms of the current–voltage characteristics and their modification caused by the scattering. Measurements of the current–voltage characteristics for titanium dioxide thin layers are also presented, and compared with the results of numerical calculations.
- Subjects :
- relaxation time approximation
Applied Mathematics
scattering processes
kinetic equation
QA75.5-76.95
Scattering process
Inelastic scattering
01 natural sciences
010305 fluids & plasmas
Classical mechanics
Kinetic equations
Electronic computers. Computer science
0103 physical sciences
QA1-939
Computer Science (miscellaneous)
010306 general physics
Engineering (miscellaneous)
Mathematics
Subjects
Details
- ISSN :
- 20838492
- Volume :
- 29
- Database :
- OpenAIRE
- Journal :
- International Journal of Applied Mathematics and Computer Science
- Accession number :
- edsair.doi.dedup.....6964ee55fbdc35915aa223919996d78a