Volume 67, Number 1, July 2004
|Page(s)||49 - 55|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 June 2004|
Goldstone fluctuations in the amorphous solid state
Department of Physics, University of Illinois at Urbana-Champaign 1110 West Green Street, Urbana, IL 61801-3080, USA
2 Institut für Theoretische Physik, Georg-August-Universität Göttingen 37073 Göttingen, Germany
Accepted: 29 April 2004
Goldstone modes in the amorphous solid state, resulting from the spontaneous breaking of translational symmetry due to random localisation of particles, are discussed. Starting from a microscopic model with quenched disorder, the broken symmetry is identified to be that of relative translations of the replicas. Goldstone excitations, corresponding to pure shear deformations, are constructed from long-wavelength distortions of the order parameter. The elastic free energy is computed, and it is shown that Goldstone fluctuations destroy localisation in two spatial dimensions, yielding a two-dimensional amorphous solid state characterised by power law correlations.
PACS: 61.43.-j – Disordered solids / 82.70.Gg – Gels and sols
© EDP Sciences, 2004
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