Cavity Approach to the Random Solid State

Xiaoming Mao 1, Paul M. Goldbart 1, Marc Mezard 2, Martin Weigt 3

Physical Review Letters 95 (2005) 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.

  • 1. Physics Department (UIUC),
    University of Illinois at Urbana Champaign
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 3. Institute for Scientific Interchange,
    Institute for Scientific Interchange