PHONON PHONON INTERACTION IN A ONE-DIMENSIONAL ANHARMONIC LATTICE

被引：2

作者：

CHATTERJEE, R

机构：

[1] Laboratoire de Physique Mathématique, Université de Montpellier II, Unité de Recherche associée au C.N.R.S. n° 768, Montpellier

来源：

PHYSICA STATUS SOLIDI B-BASIC RESEARCH | 1990年 / 161卷 / 01期

关键词：

D O I：

10.1002/pssb.2221610118

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

A higher order partial nonlinear differential equation is obtained when phonon—phonon interaction in a one‐dimensional anharmonic lattice is treated quantum mechanically. Few assumptions are made to derive this equation of motion, such as long‐wavelength approximation, omission of normally ordered terms, continuum limit, and no umklapp scattering. The validity of these assumptions is discussed. The limitation to up to sixth higher order phonon—phonon interaction terms agrees with the earlier conclusion, reached from the stability consideration of the solitonic solution of this equation of motion. Copyright © 1990 WILEY‐VCH Verlag GmbH & Co. KGaA

引用

页码：191 / 199

页数：9

共 17 条

[1] SOLUTIONS OF THE BOUSSINESQ EQUATION
AIRAULT, H
[J]. PHYSICA D, 1986, 21 (01): : 171 - 176
[2] BRUESCH P, 1982, PHONONS THEORY EXPT, V1, P152
[3] BRUESCH P, 1982, PHONONS THEORY EXPER, V1, P14
[4] COHERENT AND INCOHERENT STATES OF RADIATION FIELD
GLAUBER, RJ
[J]. PHYSICAL REVIEW, 1963, 131 (06): : 2766 - +
[5] HENLEY EM, 1962, ELEMENTARY QUANTUM F, P18
[6] HENLEY EM, 1962, ELEMENTARY QUANTUM F, P3
[7] SOLITARY WAVE SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION WITH HIGHER-ORDER NONLINEARITY
KAWAMOTO, S
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (11) : 3729 - 3731
[8] KITTEL C, 1986, INTRO SOLID STATE PH, P81
[9] KLAUDER JR, 1985, COHERENT STATES APPL, P3
[10] LUDWIG W, 1964, PHONONS PHONON INTER, P23

← 1 2 →