ANISOTROPY AND ISOTROPY - A MODEL OF FRACTION-DIMENSIONAL SPACE

被引：81

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

页码：111 / 114

页数：4

共 22 条

[1] ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[2] LATTICES OF EFFECTIVELY NONINTEGRAL DIMENSIONALITY
DHAR, D
[J]. 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
ELBER, R
KARPLUS, M
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (04) : 394 - 397
[4] SPECIFIC-HEAT OF POLYSULFUR NITRIDE, (SN)X
HARPER, JME
GREENE, RL
GRANT, PM
STREET, GB
[J]. 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
HE, XF
[J]. 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
KEESOM, PH
PEARLMAN, N
[J]. PHYSICAL REVIEW, 1955, 99 (04): : 1119 - 1124
[10] CALCULATIONS ON LOW-TEMPERATURE SPECIFIC HEAT OF SELENIUM AND TELLURIUM
KOTHARI, LS
TEWARY, VK
[J]. JOURNAL OF CHEMICAL PHYSICS, 1963, 38 (02) : 417 - &

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