The amorphous solid state: a locally stable thermodynamic phase of randomly constrained systems

Details The amorphous solid state: a locally stable thermodynamic phase of randomly constrained systems The amorphous solid state: a locally stable thermodynamic phase of randomly constrained systems

1999-05-21

arxiv.org/abs/cond-mat/9905326v1

Phys. Rev. B 60, 14702 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, RevTeX, 3 figures

Scientific paper

10.1103/PhysRevB.60.14702

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 state, is obtained. The eigenvalues of this Hessian matrix are all shown to be strictly positive near the transition, except for one--the zero mode associated with the spontaneously broken continuous translational symmetry of the system. Thus the local stability of the amorphous solid state is established.

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