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Résumé |
Supercooled liquids and glasses exhibit rich rheological properties.
We discuss a first principle scheme to compute the rigidity, namely
the shear-modulus of structural glasses at finite temperatures using
the cloned liquid theory, which combines the replica theory and liquid
theory. With the help of the replica method which enables
disentanglement of thermal fluctuations in liquids into intra-state
and inter-state fluctuations, we extract rigidity of metastable
amorphous solid like states in the supercooled liquid and glass
phases.
As a test case, we apply the scheme to the glassy state of a binary
mixture of soft-spheres. The result compares well with the
shear-modulus obtained by a previous molecular dynamic simulation.
Finally we discuss implications of our results on some static and
dynamic properties of glassy systems.
References:
H. Yoshino and M. Mezard, Phys. Rev. Lett. 105 (2010), 015504.
H. Yoshino, arXiv:1203.2341.
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