A semicontinuous formulation of the Bloch-Boltzmann-Peierls equations

被引：13

作者：

Auer, C

Schürrer, F

Koller, W

机构：

[1] Graz Univ Technol, Inst Theoret & Computat Phys, A-8010 Graz, Austria

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2004年 / 64卷 / 04期

关键词：

electron-phonon kinetics; Bloch-Boltzmann-Peierls equations; semicontinuous model; far-from-equilibrium systems; laser photo-excitation;

D O I：

10.1137/S0036139903426101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents new transport equations to describe the kinetics of coupled electron-phonon systems in semiconductors. The model is based on a semicontinuous version of the Bloch-Boltzmann-Peierls equations for electrons interacting with acoustic and optical phonons. Major aspects of the resulting kinetic equations, such as conservation laws and stability, are investigated. Numerical results of the model applied to a system of phonons and photo-excited electrons in gallium arsenide ( GaAs) are compared with data obtained by an ensemble Monte Carlo technique.

引用

页码：1457 / 1475

页数：19

共 21 条

[1]

[Anonymous], 1991, SEMICONDUCTORS

[2]

[Anonymous], SERIES ADV MATH APPL

[3]

Ashcroft N.W., 1976, Solid State Physics

[4]

Dormand J., 1980, J. Comput. Appl. Math., V6, P19, DOI DOI 10.1016/0771-050X(80)90013-3

[5] Nonequilibrium phonon dynamics and electron distribution functions in InP and InAs [J].

Grann, ED ;

Tsen, KT ;

Ferry, DK .

PHYSICAL REVIEW B, 1996, 53 (15) :9847-9851

[6] THE MONTE-CARLO METHOD FOR THE SOLUTION OF CHARGE TRANSPORT IN SEMICONDUCTORS WITH APPLICATIONS TO COVALENT MATERIALS [J].

JACOBONI, C ;

REGGIANI, L .

REVIEWS OF MODERN PHYSICS, 1983, 55 (03) :645-705

[7]

Jungel A., 2001, Quasi-hydrodynamic Semiconductor Equations

[8] A semi-continuous extended kinetic model [J].

Koller, W ;

Hanser, F ;

Schürrer, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (17) :3417-3430

[9] PN approximation of the nonlinear semi-discrete Boltzmann equation [J].

Koller, W ;

Schürrer, F .

TRANSPORT THEORY AND STATISTICAL PHYSICS, 2001, 30 (4-6) :471-489

[10]

KOLLER W, 2001, RIV MAT U PARMA, V4, P109

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