Emergence of long-range correlations and rigidity at the dynamic glass transition


Grzegorz Szamel (Colorado State University)


At the so-called dynamic glass transition predicted by the mean-field replica approach equilibrium liquid's translational symmetry is spontaneously broken, albeit at the microscopic level. I will show that this fact implies the emergence of Goldstone modes and long-range density correlations. I will present a derivation of a new statistical mechanical expression for the glass shear modulus. This expression is complementary to the formula used earlier by Yoshino and Mezard. To calculate the modulus I will combine the new expression with a version of the replica approach which is consistent with the mode-coupling theory.

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