On non-linear susceptibility in supercooled liquids

被引:168
作者
Franz, S
Parisi, G
机构
[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
[2] Univ Roma La Sapienza, I-00185 Rome, Italy
关键词
D O I
10.1088/0953-8984/12/29/305
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
In this paper, we discuss theoretically the behaviour of the four-point non-linear susceptibility and its associated correlation length for supercooled liquids close to the mode-coupling instability temperature T-c. We work in the theoretical framework of the glass transition as described by mean-field theory of disordered systems, and the hypernetted-chain approximation. Our results give an interpretation framework for recent numerical findings on heterogeneities in supercooled liquid dynamics.
引用
收藏
页码:6335 / 6342
页数:8
相关论文
共 31 条
[1]  
BARRAT A, 1997, CONDMAT 9701031
[2]   Growing range of correlated motion in a polymer melt on cooling towards the glass transition [J].
Bennemann, C ;
Donati, C ;
Baschnagel, J ;
Glotzer, SC .
NATURE, 1999, 399 (6733) :246-249
[3]   Constrained Boltzmann-Gibbs measures and effective potential for glasses in hypernetted chain approximation and numerical simulations [J].
Cardenas, M ;
Franz, S ;
Parisi, G .
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (03) :1726-1734
[4]   Glass transition and effective potential in the hypernetted chain approximation [J].
Cardenas, M ;
Franz, S ;
Parisi, G .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (09) :L163-L169
[5]   THE SPHERICAL P-SPIN INTERACTION SPIN-GLASS MODEL - THE DYNAMICS [J].
CRISANTI, A ;
HORNER, H ;
SOMMERS, HJ .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1993, 92 (02) :257-271
[6]   IS THERE A GROWING CORRELATION LENGTH NEAR THE GLASS-TRANSITION [J].
DASGUPTA, C ;
INDRANI, AV ;
RAMASWAMY, S ;
PHANI, MK .
EUROPHYSICS LETTERS, 1991, 15 (03) :307-312
[7]   CORRECTION [J].
DASGUPTA, C .
EUROPHYSICS LETTERS, 1991, 15 (04) :467-467
[8]   Cage effect, local anisotropies, and dynamic heterogeneities at the glass transition: A computer study of hard spheres [J].
Doliwa, B ;
Heuer, A .
PHYSICAL REVIEW LETTERS, 1998, 80 (22) :4915-4918
[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