<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

The Effect of Elastic and Inelastic Scattering on Electronic Transport in Open Systems

Faculty of Physics and Applied Computer Science

Faculty of Materials Science and Ceramics

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

The Effect of Elastic and Inelastic Scattering on Electronic Transport in Open Systems

Published Online: Sep 28, 2019

Page range: 427 - 437

Received: Oct 15, 2018

Accepted: Mar 18, 2019

DOI: https://doi.org/10.2478/amcs-2019-0031

Keywords
kinetic equation, relaxation time approximation, scattering processes

© 2019 Karol Kulinowski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The Effect of Elastic and Inelastic Scattering on Electronic Transport in Open Systems

Published Online: Sep 28, 2019

Page range: 427 - 437

Received: Oct 15, 2018

Accepted: Mar 18, 2019

DOI: https://doi.org/10.2478/amcs-2019-0031

Keywordskinetic equation, relaxation time approximation, scattering processes

© 2019 Karol Kulinowski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
kinetic equation, relaxation time approximation, scattering processes