Cavity Approach to the Random Solid State

Xiaoming Mao, Paul M. Goldbart, Marc Mézard, and Martin Weigt
Phys. Rev. Lett. 95, 148302 – Published 28 September 2005

Abstract

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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  • Received 8 June 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.148302

©2005 American Physical Society

Authors & Affiliations

Xiaoming Mao1, Paul M. Goldbart1, Marc Mézard2, and Martin Weigt3

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, Illinois 61801, USA
  • 2CNRS et Université Paris Sud, LPTMS, Bâtiment 100, 91405 Orsay, France
  • 3Institute for Scientific Interchange, Viale Settimio Severo 65, I-10133 Torino, Italy

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Issue

Vol. 95, Iss. 14 — 30 September 2005

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