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

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 03期

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

[1] BOOTSTRAP PERCOLATION [J].

ADLER, J .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 171 (03) :453-470

[2] METASTABILITY EFFECTS IN BOOTSTRAP PERCOLATION [J].

AIZENMAN, M ;

LEBOWITZ, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (19) :3801-3813

[3] Lattice glass models -: art. no. 025501 [J].

Biroli, G ;

Mézard, M .

PHYSICAL REVIEW LETTERS, 2002, 88 (02) :4

[4] SELF-INDUCED QUENCHED DISORDER - A MODEL FOR THE GLASS-TRANSITION [J].

BOUCHAUD, JP ;

MEZARD, M .

JOURNAL DE PHYSIQUE I, 1994, 4 (08) :1109-1114

[5] POSSIBLE GLASSINESS IN A PERIODIC LONG-RANGE JOSEPHSON ARRAY [J].

CHANDRA, P ;

IOFFE, LB ;

SHERRINGTON, D .

PHYSICAL REVIEW LETTERS, 1995, 75 (04) :713-716

[6] Lattice glass model with no tendency to crystallize [J].

Ciamarra, MP ;

Tarzia, M ;

de Candia, A ;

Coniglio, A .

PHYSICAL REVIEW E, 2003, 67 (05) :4

[7] Dynamical heterogeneity close to the jamming transition in a sheared granular material [J].

Dauchot, O ;

Marty, G ;

Biroli, G .

PHYSICAL REVIEW LETTERS, 2005, 95 (26)

[8] Exact solution of a jamming transition: Closed equations for a bootstrap percolation problem [J].

De Gregorio, P ;

Lawlor, A ;

Bradley, P ;

Dawson, KA .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (16) :5669-5673

[9] Clarification of the bootstrap percolation paradox [J].

De Gregorio, P ;

Lawlor, A ;

Bradley, P ;

Dawson, KA .

PHYSICAL REVIEW LETTERS, 2004, 93 (02) :025501-1

[10] Supercooled liquids and the glass transition [J].

Debenedetti, PG ;

Stillinger, FH .

NATURE, 2001, 410 (6825) :259-267