期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2019
卷号：29
期号：3
页码：1-11
DOI：10.2478/amcs-2019-0031
出版社：De Gruyter Open
摘要：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.
关键词：kinetic equation; relaxation time approximation; scattering processes;
