A semi-continuous extended kinetic model

被引：8

作者：

Koller, W ^{[1
]}

Hanser, F ^{[1
]}

Schürrer, F ^{[1
]}

机构：

[1] Graz Tech Univ, Inst Theoret Phys, A-8010 Graz, Austria

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 17期

关键词：

D O I：

10.1088/0305-4470/33/17/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A set of semi-continuous model Boltzmann equations governing the evolution of a three-component gas mixture is presented. The third species is treated as an excited state of the second species. The model takes into account collisional excitation and de-excitation processes as well as the interaction with. monochromatic photons. A kinetic equation for photons is coupled with the model Boltzmann equations. Conservation properties are established and an H-theorem is proven. Numerical solutions to simple test cases are provided.

引用

页码：3417 / 3430

页数：14

共 10 条

[1]

Bellomo N., 1991, Mathematical Models & Methods in Applied Sciences, V1, P113, DOI 10.1142/S0218202591000071

[2]

Cercignani C., 1988, APPL MATH SCI, V67

[3]

Cummings EB., 1995, THESIS CALTECH PASAD

[4]

Ecker G, 1986, SPRINGER SERIES ELEC, V20

[5] BOLTZMANN-EQUATION FOR INELASTIC-SCATTERING [J].

GARIBOTTI, CR ;

SPIGA, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (08) :2709-2717

[6] Treatment of laser-induced thermal acoustics in the framework of discrete kinetic theory [J].

Hanser, F ;

Koller, W ;

Schürrer, F .

PHYSICAL REVIEW E, 2000, 61 (02) :2065-2073

[7] GAS-PHASE THERMAL-GRATING CONTRIBUTIONS TO 4-WAVE-MIXING [J].

PAUL, PH ;

FARROW, RL ;

DANEHY, PM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1995, 12 (03) :384-392

[8]

PREZIOSI L, 1997, JAPAN J IND APPL MAT, V14, P399

[9] New discrete model Boltzmann equations for arbitrary partitions of the velocity space [J].

Reiterer, P ;

Reitshammer, C ;

Schürrer, F ;

Hanser, F ;

Eitzenberger, T .

JOURNAL OF STATISTICAL PHYSICS, 2000, 98 (1-2) :419-440

[10] Kinetic approach for two-level atoms interacting with monochromatic photons [J].

Rossani, A ;

Spiga, G ;

Monaco, R .

MECHANICS RESEARCH COMMUNICATIONS, 1997, 24 (03) :237-242

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