title: Cavity approach to the random solid state.
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.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, Illinois 61801, USA.
authors.forename: Xiaoming
authors.initials: X
authors.lastname: Mao
authors.forename: Paul M
authors.initials: PM
authors.lastname: Goldbart
authors.forename: Marc
authors.initials: M
authors.lastname: Mézard
authors.forename: Martin
authors.initials: M
authors.lastname: Weigt
mesh_terms: D001703:Biophysics / Q000379:methods*; D005782:Gels; D006860:Hydrogen Bonding; D046911:Macromolecular Substances; D015233:Models, Statistical; D008962:Models, Theoretical; D011108:Polymers / Q000737:chemistry; D011336:Probability; D013816:Thermodynamics
chemical_list: D005782:Gels; D046911:Macromolecular Substances; D011108:Polymers