Cavity Approach to the Random Solid State

Details Cavity Approach to the Random Solid State Cavity Approach to the Random Solid State

2005-06-08

arxiv.org/abs/cond-mat/0506194v1

Phys. Rev. Lett. 95, 148302 (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.95.148302

The cavity approach is used to address the physical properties of random solids in equilibrium. Particular attention is paid to the fraction of localized particles and the distribution of localization lengths characterizing their thermal motion. This approach is of relevance to a wide class of random solids, including rubbery media (formed via the vulcanization of polymer fluids) and chemical gels (formed by the random covalent bonding of fluids of atoms or small molecules). The cavity approach confirms results that have been obtained previously via replica mean-field theory, doing so in a way that sheds new light on their physical origin.

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