Application of weak equivalence transformations to a group analysis of a drift-diffusion model

Authors
Romano, V Torrisi, M
Citation
V. Romano et M. Torrisi, Application of weak equivalence transformations to a group analysis of a drift-diffusion model, J PHYS A, 32(45), 1999, pp. 7953-7963
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
45
Year of publication
1999
Pages
7953 - 7963
Database
ISI
SICI code
0305-4470(19991112)32:45<7953:AOWETT>2.0.ZU;2-L
Abstract
A group analysis of a class of drift-diffusion systems is performed. In acc ount of the presence of arbitrary constitutive functions, we look for Lie s ymmetries starting from the weak equivalence transformations. Applications to the transport of charges in semiconductors are presented and a special c lass of solutions is given for particular doping profiles.