ASYMPTOTIC SOLUTION OF THE BETHE-SALPETER-EQUATION AND THE GREEN-KUBO FORMULA FOR THE DIFFUSION CONSTANT FOR WAVE-PROPAGATION IN RANDOM-MEDIA

被引：37
作者：
BARABANENKOV, YN
OZRIN, VD
机构：
[1] All-Union Surface and Vacuum Research Centre, Moscow
来源：
PHYSICS LETTERS A | 1991年 / 154卷 / 1-2期
关键词：
D O I：
10.1016/0375-9601(91)90425-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Bethe-Salpeter equation for scalar waves in a random dielectric medium is considered. An eigenfunction expansion and the Ward identity, generalized for the case of an energy dependent potential, are used to find the asymptotic solution. An exact expression for the diffusion constant is obtained in the form of the generalized Green-Kubo formula. Also the accepted point of view on the absence of diffusion in two-dimensional random systems is argued.
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页码：38 / 42
页数：5
相关论文
共 17 条
[1]  
Altshuler B. L., 1982, QUANTUM THEORY SOLID, P130
[2]   THE QUESTION OF CLASSICAL LOCALIZATION - A THEORY OF WHITE PAINT [J].
ANDERSON, PW .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1985, 52 (03) :505-509
[3]   MULTIPLE-SCATTERING OF WAVES FROM AN ENSEMBLE OF PARTICLES AND THEORY OF RADIATION TRANSFER [J].
BARABANENKOV, YN .
USPEKHI FIZICHESKIKH NAUK, 1975, 117 (01) :49-78
[4]  
BARABANENKOV YN, 1968, IZV YVSSCH UCHEBN ZA, V11, P720
[5]  
Barabanenkov Yu. N., 1977, Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, V20, P1078
[6]   LOCALIZATION AND INTERACTION EFFECTS IN ANISOTROPIC DISORDERED ELECTRONIC SYSTEMS [J].
BHATT, RN ;
WOLFLE, P ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW B, 1985, 32 (02) :569-574
[7]   LOCALIZATION AND RESONANT TRANSMISSION OF 3RD-SOUND WAVES ON A RANDOM SUBSTRATE [J].
CONDAT, CA ;
KIRKPATRICK, TR .
PHYSICAL REVIEW B, 1986, 33 (05) :3102-3114
[8]   OBSERVABILITY OF ACOUSTICAL AND OPTICAL LOCALIZATION [J].
CONDAT, CA ;
KIRKPATRICK, TR .
PHYSICAL REVIEW LETTERS, 1987, 58 (03) :226-229
[9]   LOCALIZATION AND SCATTERING OF ACOUSTIC-WAVES IN A ONE-DIMENSIONAL RANDOM SYSTEM - A PROPOSED EXPERIMENT [J].
CONDAT, CA ;
KIRKPATRICK, TR .
PHYSICAL REVIEW B, 1985, 32 (01) :495-498
[10]  
John S., 1988, Comments on Condensed Matter Physics, V14, P193
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