Testing Rigidity Transitions in Glass and Crystal Forming Dense Liquids: Viscoelasticity and Dynamical Gaps

A computational study of rigidity for dense fluids of monodisperse and bidisperse hard-disks near a phase and a glass transition respectively is presented. To achieve this goal, the transversal part of the dynamical structure factor is calculated. In both cases, a viscoelastic behavior is obtained, with a dynamical gap determined by a critical wavevector $k_c$. Transversal waves exist for $k>k_c$ while density-density correlations happens at frequency $\omega=0$ for $k

Keywords:

• Materials science
• Composite material
• Viscoelasticity
• Rigidity (psychology)
• Condensed matter physics
• freezing point
• Transversal (geometry)
• Glass transition
• Structure factor
• Transverse wave
• Wave vector

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