REAL SPACE GREENS-FUNCTION APPROACH TO VIBRATIONAL DYNAMICS OF A VICSEK FRACTAL

被引:59
作者
JAYANTHI, CS
WU, SY
COCKS, J
机构
[1] Department of Physics, University of Louisville, Louisville
[2] Computing and Telecommunications, University of Louisville, Louisville
关键词
D O I
10.1103/PhysRevLett.69.1955
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new method to determine eigenvectors based on a real space Green's function is reported. This method is particularly useful for determining the eigenvectors corresponding to degenerate states. Using this approach, the lowest persistent degenerate mode exhibited by the third-stage Vicsek fractal has been examined and has been shown to be an edge-confined, superlocalized vibrational mode.
引用
收藏
页码:1955 / 1958
页数:4
相关论文
共 8 条
  • [1] VIBRATION MODES OF ADSORBED FRACTAL ARRANGEMENTS OF ATOMS
    BLACK, JE
    [J]. PHYSICAL REVIEW B, 1988, 38 (03): : 2151 - 2153
  • [2] JAYANTHI CS, IN PRESS
  • [3] KITTEL C, 1976, INTRO SOLID STATE PH, P122
  • [4] LIU SH, 1986, SOLID STATE PHYS, V39, P207, DOI DOI 10.1016/S0081-1947(08)60370-7
  • [5] PRESS WH, 1989, NUMERICAL RECIPES
  • [6] SPECTRUM OF HARMONIC EXCITATIONS ON FRACTALS
    RAMMAL, R
    [J]. JOURNAL DE PHYSIQUE, 1984, 45 (02): : 191 - 206
  • [7] VIBRATIONS OF FRACTAL DRUMS
    SAPOVAL, B
    GOBRON, T
    MARGOLINA, A
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (21) : 2974 - 2977
  • [8] WU SY, 1988, PROGR STATISTICAL ME, P119