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Entropy 2015, 17(6), 4110-4133; doi:10.3390/e17064110

The Non-Equilibrium Statistical Distribution Function for Electrons and Holes in Semiconductor Heterostructures in Steady-State Conditions

1
Institute of Applied Physics, Military University of Technology, 2 Kaliskiego St., 00-908 Warsaw, Poland
2
Faculty of Applied Informatics and Mathematics, Warsaw University of Life Science SGGW, Nowoursynowska 166 St., 02-787 Warsaw, Poland
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 6 April 2015 / Accepted: 10 June 2015 / Published: 15 June 2015
(This article belongs to the Section Thermodynamics)
View Full-Text   |   Download PDF [1264 KB, uploaded 15 June 2015]   |  

Abstract

The main goal of this work is to determine a statistical non-equilibrium distribution function for the electron and holes in semiconductor heterostructures in steady-state conditions. Based on the postulates of local equilibrium, as well as on the integral form of the weighted Gyarmati’s variational principle in the force representation, using an alternative method, we have derived general expressions, which have the form of the Fermi–Dirac distribution function with four additional components. The physical interpretation of these components has been carried out in this paper. Some numerical results of a non-equilibrium distribution function for an electron in HgCdTe structures are also presented. View Full-Text
Keywords: non-equilibrium distribution function; semiconductor heterostructure; postulate of local equilibrium; entropy generation; Gyarmati’s principle; HgCdTe structures non-equilibrium distribution function; semiconductor heterostructure; postulate of local equilibrium; entropy generation; Gyarmati’s principle; HgCdTe structures
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Jόzwikowska, K.; Jόzwikowska, A.; Nietopiel, M. The Non-Equilibrium Statistical Distribution Function for Electrons and Holes in Semiconductor Heterostructures in Steady-State Conditions. Entropy 2015, 17, 4110-4133.

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