Mode-coupling theory

被引:259
作者
Reichman, DR [1 ]
Charbonneau, P [1 ]
机构
[1] Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USA
关键词
dynamical heterogeneities (theory); mode coupling theory; supercooled liquids (theory); slow relaxation and glassy dynamics;
D O I
10.1088/1742-5468/2005/05/P05013
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this set of lecture notes we review the mode-coupling theory of the glass transition from several perspectives. First, we derive mode-coupling equations for the description of density fluctuations from microscopic considerations with the use the Mori-Zwanzig projection operator technique. We also derive schematic mode-coupling equations of a similar form from a field-theoretic perspective. We review the successes and failures of mode-coupling theory, and discuss recent advances in the applications of the theory.
引用
收藏
页码:267 / 289
页数:23
相关论文
共 22 条
[1]  
Balucani U., 1994, DYNAMICS LIQUID STAT
[2]   DYNAMICS OF SUPERCOOLED LIQUIDS AND THE GLASS-TRANSITION [J].
BENGTZELIUS, U ;
GOTZE, W ;
SJOLANDER, A .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (33) :5915-5934
[3]   Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition [J].
Biroli, G ;
Bouchaud, JP .
EUROPHYSICS LETTERS, 2004, 67 (01) :21-27
[4]  
Boon J. P., 1980, MOL HYDRODYNAMICS
[5]   Mode-coupling approximations, glass theory and disordered systems [J].
Bouchaud, JP ;
Cugliandolo, L ;
Kurchan, J ;
Mezard, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 226 (3-4) :243-273
[6]  
BOUCHAUD JP, 1997, CONDMAT9702070
[7]   FLUCTUATING NONLINEAR HYDRODYNAMICS AND THE LIQUID-GLASS TRANSITION [J].
DAS, SP ;
MAZENKO, GF .
PHYSICAL REVIEW A, 1986, 34 (03) :2265-2282
[8]   Higher-order glass-transition singularities in colloidal systems with attractive interactions [J].
Irish Ctr. Colloid Sci. Biomaterials, University College Dublin, Belfield, Dublin 4, Ireland ;
不详 ;
不详 .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 63 (1 I) :011401-011401
[9]   Spatial correlations of mobility and immobility in a glass-forming Lennard-Jones liquid [J].
Donati, C ;
Glotzer, SC ;
Poole, PH ;
Kob, W ;
Plimpton, SJ .
PHYSICAL REVIEW E, 1999, 60 (03) :3107-3119
[10]   Stringlike cooperative motion in a supercooled liquid [J].
Donati, C ;
Douglas, JF ;
Kob, W ;
Plimpton, SJ ;
Poole, PH ;
Glotzer, SC .
PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2338-2341