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General constitutive model for supercooled liquids: anomalous transverse wave propagation. | LitMetric

General constitutive model for supercooled liquids: anomalous transverse wave propagation.

Phys Rev Lett

Department of Chemical Engineering, Kyoto University, Kyoto 615-8510, Japan.

Published: March 2013

AI Article Synopsis

Article Abstract

A transverse acoustic wave propagates through supercooled liquids in an anomalous manner: for a macroscopic wave number k, the wave propagates long distances, as in elastic solids, whereas it attenuates rapidly for a mesoscopic to microscopic wave number k, as in viscous liquids. In this work, we theoretically describe this anomalous wave propagation using the hydrodynamics of the two-mode Maxwell constitutive model, which were determined independently from the mechanical properties under oscillatory shear strains. To ensure that the Maxwell model can be applied down to a microscopic length scale, we extended it to a k-dependent equation, taking into account the recently reported k dependences of the shear viscosity and modulus [A. Furukawa and H. Tanaka, Phys. Rev. Lett. 103, 135703 (2009); A. Furukawa H. Tanaka Phys. Rev. E 84, 061503 (2011)]. The anomalous wave propagation in supercooled liquids can also be understood in terms of a linear coupling of many independent normal modes, as in amorphous solids.

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Source
http://dx.doi.org/10.1103/PhysRevLett.110.095901DOI Listing

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