Mechanics of Supercooled Liquids

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Mechanics of Supercooled Liquids

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Title: Mechanics of Supercooled Liquids
Author: Li, Jianguo; Liu, Qihan; Brassart, Laurence; Suo, Zhigang

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Citation: Li, Jianguo, Qihan Liu, Laurence Brassart, and Zhigang Suo. 2014. “Mechanics of Supercooled Liquids.” J. Appl. Mech. 81 (11) (September 24): 111007.
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Abstract: Pure substances can often be cooled below their melting points and still remain in the liquid state. For some supercooled liquids, a further cooling slows down viscous flow greatly, but does not slow down self-diffusion as much. We formulate a continuum theory that regards
viscous flow and self-diffusion as concurrent, but distinct, processes. We generalize Newton’s law of viscosity to relate stress, rate of deformation, and chemical potential. The self-diffusion flux is taken to be proportional to the gradient of chemical potential. The relative rate of viscous flow and self-diffusion defines a length, which, for some supercooled liquids, is much larger than the molecular dimension. A thermodynamic consideration leads to boundary conditions for a surface of liquid under the influence of applied traction and surface energy.
We apply the theory to a cavity in a supercooled liquid and identify a transition. A large cavity shrinks by viscous flow, and a small cavity shrinks by self-diffusion.
Published Version: doi:10.1115/1.4028587
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