Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-11-29
Phys. Rev. B 64 (2001) 085324.
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
35 pages, including 12 figures
Scientific paper
10.1103/PhysRevB.64.085324
The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in mesoscopic systems and the Q for vibrations in mesoscopic oscillators. Complete results are calculated in a simple scalar model of the elastic waves, and results for long wavelength modes are calculated using the full elasticity theory calculation. We suggest that thin plate elasticty theory provide a useful and tractable approximation to the full three dimensional geometry.
Cross M. C.
Lifshitz Ron
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