SPECTRAL DISTRIBUTION OF DRUMS WITH FRACTAL PERIMETERS - THE WEYL-BERRY-LAPIDUS CONJECTURE

Authors
HOBIKI Y YAKUBO K NAKAYAMA T
Citation
Y. Hobiki et al., SPECTRAL DISTRIBUTION OF DRUMS WITH FRACTAL PERIMETERS - THE WEYL-BERRY-LAPIDUS CONJECTURE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(2), 1995, pp. 1310-1312
Citations number
12
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
2
Year of publication
1995
Pages
1310 - 1312
Database
ISI
SICI code
1063-651X(1995)52:2<1310:SDODWF>2.0.ZU;2-B
Abstract
The Weyl-Berry-Lapidus conjecture on vibrational spectra of drums with fractal perimeters (fractal drums) is examined in terms of large-scal e numerical simulations. The integrated densities of states of fractal drums with the perimeter of the Koch curve are computed by employing a powerful numerical method. It is confirmed that the Weyl-Berry-Lapid us conjecture holds in the frequency regime higher than a crossover fr equency omega(c) related to the length scale characterizing the fracta l boundary.