VIBRATIONS OF FRACTAL DRUMS

被引：105

作者：

SAPOVAL, B ^{[1
]}

GOBRON, T ^{[1
]}

MARGOLINA, A ^{[1
]}

机构：

[1] POLYTECH INST NEW YORK,DEPT PHYS,BROOKLYN,NY 11201

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.67.2974

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fractal boundary conditions drastically alter wave excitations. The low-frequency vibrations of a membrane bounded by a rigid fractal contour are observed and localized modes are found. The first lower eigenmodes are computed using an analogy between the wave and the diffusion equations. The fractal frontier induces a strong confinement of the wave analogous to superlocalization. The wave forms exhibit singular derivatives near the boundary.

引用

页码：2974 / 2977

页数：4

共 18 条

[1] SUPERLOCALIZATION, CORRELATIONS AND RANDOM-WALKS ON FRACTALS
AHARONY, A
HARRIS, AB
[J]. PHYSICA A, 1990, 163 (01): : 38 - 46
[2] ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[3] [Anonymous], 2007, INTRO SOLID STATE PH
[4] Berry M. V., 1979, Structural Stability in Physics, P51
[5] COURANT R, 1965, METHODS MATH PHYSICS
[6] LOW-FREQUENCY DYNAMICS IN SUPERIONIC BORATE GLASSES BY COUPLED RAMAN AND INELASTIC NEUTRON-SCATTERING
FONTANA, A
ROCCA, F
FONTANA, MP
ROSI, B
DIANOUX, AJ
[J]. PHYSICAL REVIEW B, 1990, 41 (06): : 3778 - 3785
[7] X-RAY SMALL-ANGLE SCATTERING ANALYSIS OF POROUS SILICON LAYERS
GOUDEAU, P
NAUDON, A
BOMCHIL, G
HERINO, R
[J]. JOURNAL OF APPLIED PHYSICS, 1989, 66 (02) : 625 - 628
[8] GOUDEAU P, 1989, J APPL PHYS, V66, P2
[9] JACKSON CD, 1975, CLASSICAL ELECTRODYN, P344
[10] FRACTAL DRUM, INVERSE SPECTRAL PROBLEMS FOR ELLIPTIC-OPERATORS AND A PARTIAL RESOLUTION OF THE WEYL-BERRY CONJECTURE
LAPIDUS, ML
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 325 (02) : 465 - 529

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