title: Glass elasticity from particle trajectories.
abstract: Using positional data from video microscopy of a two-dimensional colloidal system and from simulations of hard disks, we determine the wave-vector-dependent elastic dispersion relations in glass. The emergence of rigidity based on the existence of a well defined displacement field in amorphous solids is demonstrated. Continuum elastic theory is recovered in the limit of long wavelengths which provides the glass elastic shear and bulk modulus as a function of temperature. The onset of a finite static shear modulus upon cooling marks the fluid-glass transition in an intuitive and unique way.
authors.affiliation: University of Konstanz, D-78457 Konstanz, Germany.
authors.forename: Christian L
authors.initials: CL
authors.lastname: Klix
authors.forename: Florian
authors.initials: F
authors.lastname: Ebert
authors.forename: Fabian
authors.initials: F
authors.lastname: Weysser
authors.forename: Matthias
authors.initials: M
authors.lastname: Fuchs
authors.forename: Georg
authors.initials: G
authors.lastname: Maret
authors.forename: Peter
authors.initials: P
authors.lastname: Keim