Elastic Behavior of a Two-dimensional Crystal near Melting

Details Elastic Behavior of a Two-dimensional Crystal near Melting Elastic Behavior of a Two-dimensional Crystal near Melting

2004-07-05

arxiv.org/abs/cond-mat/0407105v1

Phys. Rev. Lett. 93, 255703 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.255703

Using positional data from video-microscopy we determine the elastic moduli of two-dimensional colloidal crystals as a function of temperature. The moduli are extracted from the wave-vector-dependent normal mode spring constants in the limit $q\to 0$ and are compared to the renormalized Young's modulus of the KTHNY theory. An essential element of this theory is the universal prediction that Young's modulus must approach $16 \pi$ at the melting temperature. This is indeed observed in our experiment.

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