**Anomalous sound attenuation in Voronoi liquid**

C Ruscher and AN Semenov and J Baschnagel and J Farago, JOURNAL OF CHEMICAL PHYSICS, 146, 144502 (2017).

DOI: 10.1063/1.4979720

The physics of simple fluids in the hydrodynamic limit and notably the
connection between the proper microscopic scales and the macroscopic
hydrodynamical description are nowadays well understood. In particular,
the three peak shape of the dynamical structure factor S(k, omega) is a
universal feature, as well as the k-dependence of the peak position
(proportional to/k) and width proportional to k(2), the latter
accounting for the sound attenuation rate. In this paper, we present a
theoretical model of monodisperse fluid, whose interactions are defined
via the Voronoi tessellations of the configurations **called the Voronoi
liquid and first studied in Ruscher et al., Europhys. Lett. 112, 66003
(2015)**, which displays at low temperatures a marked violation of the
universal features of S(k,omega) with a sound attenuation rate only
proportional to k. This anomalous behaviour, which apparently violates
the basic symmetries of the liquid state, is traced back to the
existence of a time scale which is both short enough for the
viscoelastic features of the liquid to impact the relaxational dynamics
and however long enough for the momentum diffusion to be substantially
slower than the sound propagation on that characteristic time. Published
by AIP Publishing.

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