$q$-independent slow-dynamics in atomic and molecular systems

Abstract

Investigating million-atom systems for very long simulation times, we demonstrate that the collective density-density correlation time (${\tau }_{\alpha }$) in simulated supercooled water and silica becomes wavevector independent ($q^0$) when the probing wavelength is several times larger than the interparticle distance. The $q$-independence of the collective density-density correlation functions, a feature clearly observed in light-scattering studies of some soft-matter systems, is thus a genuine feature of many (but not all) slow-dynamics systems, either atomic, molecular or colloidal. Indeed, we show that when the dynamics of the density fluctuations is due to particle-type diffusion, as in the case of the Lennard Jones binary mixture model, the $q^0$ regime does not set in and the relaxation time continues to scale as ${\tau }_{\alpha }\sim q^{-2}$ even at small $q$.

arXiv commentIncludes the supplementary material

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Cited by in corpus (4)

• Relaxation and vibrational properties in metal alloys and other disordered systems
• Wave vector dependence of the dynamics in supercooled metallic liquids
• Hydrodynamics of disordered marginally-stable matter
• Universal $L^{-3}$ finite-size effects in the viscoelasticity of confined amorphous systems