Elastic fluctuations as observed in a confocal slice
Laboratoire PCT, UMR Gulliver CNRS-ESPCI 7083 - 10 rue Vauquelin, 75231 Paris Cedex 05, France, EU
Accepted: 19 January 2012
Recent confocal experiments on colloidal solids motivate a fuller study of the projection of three-dimensional fluctuations onto a two-dimensional confocal slice. We show that the effective theory of a projected crystal displays several exceptional features, such as non-standard exponents in the dispersion relations. We provide analytic expressions for the effective two-dimensional elastic properties which allow one to work back from sliced experimental observations to three-dimensional elastic constants.
PACS: 82.70.Dd – Colloids / 63.22.-m – Phonons or vibrational states in low-dimensional structures and nanoscale materials / 63.20.dd – Measurements
© EPLA, 2012