Vibrations of amorphous, nanometric structures: When does continuum theory apply?

Details Vibrations of amorphous, nanometric structures: When does continuum theory apply? Vibrations of amorphous, nanometric structures: When does continuum theory apply?

2001-04-26

arxiv.org/abs/cond-mat/0104509v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, LATEX, Europhysics Letters accepted

Scientific paper

10.1209/epl/i2002-00471-9

Structures involving solid particles of nanometric dimensions play an increasingly important role in material sciences. These structures are often characterized through the vibrational properties of their constituent particles, which can be probed by spectroscopic methods. Interpretation of such experimental data requires an extension of continuum elasticity theory down to increasingly small scales. Using numerical simulation and exact diagonalization for simple models, we show that continuum elasticity, applied to disordered system, actually breaks down below a length scale of typically 30 to 50 molecular sizes. This length scale is likely related to the one which is generally invoked to explain the peculiar vibrational properties of glassy systems.

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