Jamming percolation and glass transitions in lattice models

被引:97
作者
Toninelli, C
Biroli, G
Fisher, DS
机构
[1] Ecole Normale Super, Phys Theor Lab, F-75005 Paris, France
[2] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
[3] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA
关键词
D O I
10.1103/PhysRevLett.96.035702
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density rho(c) ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and time scales diverge as exp[C(rho(c)-rho)(-mu)]. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.
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页数:4
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共 29 条
[11]   ORIENTED PERCOLATION IN 2 DIMENSIONS [J].
DURRETT, R .
ANNALS OF PROBABILITY, 1984, 12 (04) :999-1040
[12]   Spatially heterogeneous dynamics in supercooled liquids [J].
Ediger, MD .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 2000, 51 :99-128
[13]   Non-equilibrium critical phenomena and phase transitions into absorbing states [J].
Hinrichsen, H .
ADVANCES IN PHYSICS, 2000, 49 (07) :815-958
[14]   CRITICAL-DYNAMICS OF RANDOM-FIELD ISING SYSTEMS WITH CONSERVED ORDER PARAMETER [J].
HUSE, DA .
PHYSICAL REVIEW B, 1987, 36 (10) :5383-5387
[15]   Models of cooperative diffusion [J].
Jäckle, J .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2002, 14 (07) :1423-1436
[16]  
Jung YJ, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.061205
[17]   KINETIC LATTICE-GAS MODEL OF CAGE EFFECTS IN HIGH-DENSITY LIQUIDS AND A TEST OF MODE-COUPLING THEORY OF THE IDEAL-GLASS TRANSITION [J].
KOB, W ;
ANDERSEN, HC .
PHYSICAL REVIEW E, 1993, 48 (06) :4364-4377
[18]   REPLICA FIELD-THEORY FOR DETERMINISTIC MODELS .2. A NONRANDOM SPIN-GLASS WITH GLASSY BEHAVIOR [J].
MARINARI, E ;
PARISI, G ;
RITORT, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (23) :7647-7668
[19]   BLOCKING TRANSITIONS IN LATTICE SPIN MODELS WITH DIRECTED KINETIC CONSTRAINTS [J].
REITER, J ;
MAUCH, F ;
JACKLE, J .
PHYSICA A, 1992, 184 (3-4) :458-476
[20]   Glassy dynamics of kinetically constrained models [J].
Ritort, F ;
Sollich, P .
ADVANCES IN PHYSICS, 2003, 52 (04) :219-342