caa a22 4500 467892938 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10955-006-9175-y doi (NATIONALLICENCE)springer-10.1007/s10955-006-9175-y Rigorous Inequalities Between Length and Time Scales in Glassy Systems [Elektronische Daten] [Andrea Montanari, Guilhem Semerjian] Glassy systems are characterized by an extremely sluggish dynamics without any simple sign of long range order. It is a debated question whether a correct description of such phenomenon requires the emergence of a large correlation length. We prove rigorous bounds between length and time scales implying the growth of a properly defined length when the relaxation time increases. Our results are valid in a rather general setting, which covers finite-dimensional and mean field systems. As an illustration, we discuss the Glauber (heat bath) dynamics of p-spin glass models on random regular graphs. We present the first proof that a model of this type undergoes a purely dynamical phase transition not accompanied by any thermodynamic singularity. Springer Science+Business Media, Inc., 2006 glass transition nationallicence Glauber dynamics nationallicence correlation time nationallicence correlation length nationallicence Montanari Andrea Laboratoire de Physique Théorique de I'Ecole Normale Supérieure (UMR 8549, Unité Mixte de Recherche du CNRS et de 1' ENS), Paris Cedex 05, France aut Semerjian Guilhem Dipartimento di Fisica, CNR-INFM (UdR and SMC centre), Università di Roma "La Sapienza.”, Roma, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/1(2006-10-01), 23-54 0022-4715 125:1<23 2006 125 10955 https://doi.org/10.1007/s10955-006-9175-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9175-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Montanari Andrea Laboratoire de Physique Théorique de I'Ecole Normale Supérieure (UMR 8549, Unité Mixte de Recherche du CNRS et de 1' ENS), Paris Cedex 05, France aut NATIONALLICENCE 700 1- Semerjian Guilhem Dipartimento di Fisica, CNR-INFM (UdR and SMC centre), Università di Roma "La Sapienza.”, Roma, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/1(2006-10-01), 23-54 0022-4715 125:1<23 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer