ANISOTROPY AND ISOTROPY - A MODEL OF FRACTION-DIMENSIONAL SPACE

被引：82
作者：
HE, XF [1 ]
机构：
[1] ZHONGSHAN UNIV,INST MICROELECTR,GUANGZHOU,PEOPLES R CHINA
来源：
SOLID STATE COMMUNICATIONS | 1990年 / 75卷 / 02期
关键词：
D O I：
10.1016/0038-1098(90)90352-C
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
A model of fraction-dimensional space is proposed for dealing with anisotropic interactions. An anisotropic solid is treated as an isotropic fraction-dimensional system whose dimension is determined by the degree of anisotropy. It is found that the densities of states calculated with the fraction-dimensional model are in good accordance with those obtained using previous methods. This model well explains the anomalous dimensionalities, especially the dimensional crossovers, exhibited in anisotropic solids. © 1990.
引用
收藏
页码：111 / 114
页数：4
相关论文
共 22 条
[1]  
ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[2]   LATTICES OF EFFECTIVELY NONINTEGRAL DIMENSIONALITY [J].
DHAR, D .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (04) :577-585
[3]   LOW-FREQUENCY MODES IN PROTEINS - USE OF THE EFFECTIVE-MEDIUM APPROXIMATION TO INTERPRET THE FRACTAL DIMENSION OBSERVED IN ELECTRON-SPIN RELAXATION MEASUREMENTS [J].
ELBER, R ;
KARPLUS, M .
PHYSICAL REVIEW LETTERS, 1986, 56 (04) :394-397
[4]   SPECIFIC-HEAT OF POLYSULFUR NITRIDE, (SN)X [J].
HARPER, JME ;
GREENE, RL ;
GRANT, PM ;
STREET, GB .
PHYSICAL REVIEW B, 1977, 15 (02) :539-543
[5]  
Hausdorff F, 1919, MATH ANN, V79, P157
[6]   DIMENSIONALITY IN OPTICAL-SPECTRA OF SOLIDS - ANALYSIS BY FRACTIONAL CALCULUS [J].
HE, XF .
SOLID STATE COMMUNICATIONS, 1987, 61 (01) :53-55
[7]  
He Xing-fei, 1987, Acta Physica Sinica, V36, P1624
[8]  
HE XP, IN PRESS
[9]   ATOMIC HEAT OF GRAPHITE BETWEEN 1-DEGREE-K AND 20-DEGREES-K [J].
KEESOM, PH ;
PEARLMAN, N .
PHYSICAL REVIEW, 1955, 99 (04) :1119-1124
[10]   CALCULATIONS ON LOW-TEMPERATURE SPECIFIC HEAT OF SELENIUM AND TELLURIUM [J].
KOTHARI, LS ;
TEWARY, VK .
JOURNAL OF CHEMICAL PHYSICS, 1963, 38 (02) :417-&
123