Updated: January 23, 2008
stretched string animations
Each animation above shows a stretched string with constant tension along its length
but with variable linear mass density. Transverse waves move along the
string. The speeds of sound are as shown.
Absorbing boundary conditions are used at the right and left edges. This is
meant to be suggestive of a nanoparticle embedded in a matrix. Dissipation
of vibrational energy in the blue region is limited by back reflection from the
discontinuity.
(C++ programs used: line4.cpp scragif.cpp)
Daniel Murray
Associate Professor
Math, Stats & Physics Unit
University of British Columbia - Okanagan
Kelowna, BC, Canada
daniel "dot" murray "at" ubc "dot" ca
For a list of related articles click here.
"Microscopic calculations on Raman scattering from acoustic phonons
confined in Si nanocrystals"
Jian Zi, Kaiming Zhang, Xide Xie
Phys. Rev. B, Aug. 15, 1998
arXiv:cond-mat/9807293 v1 22 Jul 1998
arxiv.org/pdf/cond-mat/9807293 -
c:\cofrest\9807293.pdf
[email protected]
http://www.fudan.edu.cn/index_ch.php
Ding Haojiang and Chen Weiqiu,
"Nonaxisymmetric free vibrations of a
spherically isotropic spherical shell
embedded in an elastic medium"
Int. J. Solids Structures Vol. 33, No. 18, pp. 2575-2590, 1996
::
M. Montagna and R. Dusi,
"Raman scattering from small spherical particles"
Phys. Rev. B 52, 10080 (1995) - about matrix effect, small influences.
"Raman scattering from fractals. Simulation on large structures by the method of moments"
G.Viliani, R.Dell'Anna, O.Pilla, M.Montagna, G.Ruoco, G.Signorelli, V.Mazzacurati
http://arxiv.org/pdf/cond-mat/9504039
::
Transverse acoustic nature of the excess of vibrational states in vitreous silica
http://arxiv.org/pdf/cond-mat/0209519
::
Lingjun Wang, Guanghong Wei, Jian Zi
"A planar force-constant model for phonons in wurtzite GaN and AlN: Application to hexagonal GaN/AlN superlattices"
http://arxiv.org/pdf/cond-mat/9812293
::
Raman scattering by electron-hole excitations in silver nanocrystals
Authors: H. Portales, E. Duval, L. Saviot, M. Fujii, M. Sumitomo, S. Hayashi
To be pub.in PRB
cond-mat/0101471
http://arxiv.org/pdf/cond-mat/0101471
::
"Phonons in a nanoparticle mechanically connected to a substrate"
K. Patton and M. Geller
(Dec. 30, 2002 version)
::
V. L. Gurevich and H. R. Schober, Phys. Rev. B 57, 11295 (1998).
Sergey Bastrukov and Pik-Yin Lai,
"Oscillatory behavior of a flexible cavity in an elastic medium"
J. Moscow Phys. Soc. Vol. 9 (1999) pages 71-76
::