Elastic Properties of 2D amorphous solids

Details Elastic Properties of 2D amorphous solids Elastic Properties of 2D amorphous solids

2011-08-12

arxiv.org/abs/1108.2636v2

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 7 figures

Scientific paper

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state, respectively. The emergence of rigidity and the existence of a displacement field in amorphous solids is clarified. Continuum elastic theory is used in the limit of long wavelengths to analyze the bulk and shear modulus of this amorphous system as a function of temperature. The onset of a finite static shear modulus upon cooling marks the fluid/solid transition. This provides an opportunity to determine the glass transition temperature $T_g$ in an intuitive and precise way.

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