title: Percolation approach to glassy dynamics with continuously broken ergodicity.
abstract: We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At the mean-field level this approach is consistent with the mode-coupling theory (MCT) of type-A liquid-glass transitions and allows one to disentangle the universal and nonuniversal contributions to MCT relaxation exponents. Scaling predictions for the time correlation function are successfully tested in the F(12) schematic model and facilitated spin systems on a Bethe lattice. Our approach immediately suggests the extension of MCT scaling laws to finite spatial dimensions and yields predictions for dynamic relaxation exponents below an upper critical dimension of 6.
authors.affiliation: Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil.
authors.forename: Jeferson J
authors.initials: JJ
authors.lastname: Arenzon
authors.affiliation: Dipartimento di Scienze Fisiche, Università di Napoli "Federico II," Complesso Universitario di Monte Sant'Angelo, Via Cintia, I-80126 Napoli, Italy and CNR-SPIN, Via Cintia, I-80126 Napoli, Italy.
authors.forename: Antonio
authors.initials: A
authors.lastname: Coniglio
authors.affiliation: Dipartimento di Scienze Fisiche, Università di Napoli "Federico II," Complesso Universitario di Monte Sant'Angelo, Via Cintia, I-80126 Napoli, Italy and CNR-SPIN, Via Cintia, I-80126 Napoli, Italy.
authors.forename: Annalisa
authors.initials: A
authors.lastname: Fierro
authors.affiliation: Dipartimento di Ingegneria Industriale e dell'Informazione, Seconda Università di Napoli, Real Casa dell'Annunziata, I-81031 Aversa (CE), Italy.
authors.forename: Mauro
authors.initials: M
authors.lastname: Sellitto
mesh_terms: D005898:Glass; D008962:Models, Theoretical; D044367:Phase Transition