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Amorphous solid state: A locally stable thermodynamic phase of randomly constrained systems

Amorphous solid state: A locally stable thermodynamic phase of randomly constrained systems

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The Hessian matrix, associated with infinitesimal fluctuations around the stationary point corresponding to the amorphous solid …