Scaling of the glassy dynamics of soft repulsive particles: A mode-coupling approach

被引:28
作者
Berthier, Ludovic [1 ]
Flenner, Elijah [2 ]
Jacquin, Hugo [3 ]
Szamel, Grzegorz [1 ,2 ]
机构
[1] Univ Montpellier 2, Lab Colloides Verres & Nanomat, UMR CNRS 5587, F-34095 Montpellier, France
[2] Colorado State Univ, Dept Chem, Ft Collins, CO 80523 USA
[3] Univ Paris 07, Lab Mat & Syst Complexes, UMR CNRS 7057, F-75205 Paris 13, France
来源
PHYSICAL REVIEW E | 2010年 / 81卷 / 03期
关键词
LENGTH SCALE; SUSPENSIONS; BEHAVIOR; FLUID;
D O I
10.1103/PhysRevE.81.031505
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We combine the hypernetted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of the fluid-glass dynamic transition in a temperature-volume fraction phase diagram. The zero-temperature (hard-sphere) glass transition influences the dynamics at finite temperatures in its vicinity. This directly implies a form of dynamic scaling for both the average relaxation time and dynamic susceptibilities quantifying dynamic heterogeneity. We discuss several qualitative disagreements between theory and existing simulations at equilibrium. Our theoretical results are, however, very similar to numerical results for the driven athermal dynamics of repulsive spheres, suggesting that "mean-field" mode-coupling approaches might be good starting points to describe these nonequilibrium dynamics.
引用
收藏
页数:10
相关论文
共 46 条
[1]   Unexpected drop of dynamical heterogeneities in colloidal suspensions approaching the jamming transition [J].
Ballesta, Pierre ;
Duri, Agnes ;
Cipelletti, Luca .
NATURE PHYSICS, 2008, 4 (07) :550-554
[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]   CO-ORDINATION OF RANDOMLY PACKED SPHERES [J].
BERNAL, JD ;
MASON, J .
NATURE, 1960, 188 (4754) :910-911
[4]   Spontaneous and induced dynamic fluctuations in glass formers. I. General results and dependence on ensemble and dynamics [J].
Berthier, L. ;
Biroli, G. ;
Bouchaud, J.-P. ;
Kob, W. ;
Miyazaki, K. ;
Reichman, D. R. .
JOURNAL OF CHEMICAL PHYSICS, 2007, 126 (18)
[5]   Direct experimental evidence of a growing length scale accompanying the glass transition [J].
Berthier, L ;
Biroli, G ;
Bouchaud, JP ;
Cipelletti, L ;
El Masri, D ;
L'Hôte, D ;
Ladieu, F ;
Pierno, M .
SCIENCE, 2005, 310 (5755) :1797-1800
[6]   Compressing nearly hard sphere fluids increases glass fragility [J].
Berthier, L. ;
Witten, T. A. .
EPL, 2009, 86 (01)
[7]   Nonperturbative Effect of Attractive Forces in Viscous Liquids [J].
Berthier, Ludovic ;
Tarjus, Gilles .
PHYSICAL REVIEW LETTERS, 2009, 103 (17)
[8]   Glass transition of dense fluids of hard and compressible spheres [J].
Berthier, Ludovic ;
Witten, Thomas A. .
PHYSICAL REVIEW E, 2009, 80 (02)
[9]   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
[10]   Probing the Equilibrium Dynamics of Colloidal Hard Spheres above the Mode-Coupling Glass Transition [J].
Brambilla, G. ;
El Masri, D. ;
Pierno, M. ;
Berthier, L. ;
Cipelletti, L. ;
Petekidis, G. ;
Schofield, A. B. .
PHYSICAL REVIEW LETTERS, 2009, 102 (08)