Hard discs under steady shear: comparison of Brownian dynamics simulations and mode coupling theory

被引:42
作者
Henrich, Oliver [2 ]
Weysser, Fabian [1 ]
Cates, Michael E. [2 ]
Fuchs, Matthias [1 ]
机构
[1] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany
[2] Univ Edinburgh, Sch Phys & Astron, Edinburgh EH9 3JZ, Midlothian, Scotland
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2009年 / 367卷 / 1909期
基金
英国工程与自然科学研究理事会;
关键词
rheology; colloids; glasses; COLLOIDAL SUSPENSIONS; FLOW;
D O I
10.1098/rsta.2009.0191
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glass transition density. The stationary structure functions and stresses of shear-melted glass are compared quantitatively to parameter-free numerical calculations of monodisperse hard discs using mode coupling theory within the integration through transients framework. Theory qualitatively explains the properties of the yielding glass but quantitatively overestimates the shear-driven stresses and structural anisotropies.
引用
收藏
页码:5033 / 5050
页数:18
相关论文
共 18 条
[1]   STUDIES IN MOLECULAR DYNAMICS .8. TRANSPORT COEFFICIENTS FOR A HARD-SPHERE FLUID [J].
ALDER, BJ ;
GASS, DM ;
WAINWRIGHT, TE .
JOURNAL OF CHEMICAL PHYSICS, 1970, 53 (10) :3813-+
[2]   Dynamic glass transition in two dimensions [J].
Bayer, M. ;
Brader, J. M. ;
Ebert, F. ;
Fuchs, M. ;
Lange, E. ;
Maret, G. ;
Schilling, R. ;
Sperl, M. ;
Wittmer, J. P. .
PHYSICAL REVIEW E, 2007, 76 (01)
[3]   First-principles constitutive equation for suspension rheology [J].
Brader, J. M. ;
Cates, M. E. ;
Fuchs, M. .
PHYSICAL REVIEW LETTERS, 2008, 101 (13)
[4]   Brownian Dynamics simulation of hard-sphere colloidal dispersions [J].
Foss, DR ;
Brady, JF .
JOURNAL OF RHEOLOGY, 2000, 44 (03) :629-651
[5]   Schematic models for dynamic yielding of sheared colloidal glasses [J].
Fuchs, M ;
Cates, ME .
FARADAY DISCUSSIONS, 2003, 123 :267-286
[6]   Theory of nonlinear rheology and yielding of dense colloidal suspensions [J].
Fuchs, M ;
Cates, ME .
PHYSICAL REVIEW LETTERS, 2002, 89 (24)
[7]   A mode coupling theory for Brownian particles in homogeneous steady shear flow [J].
Fuchs, M. ;
Cates, M. E. .
JOURNAL OF RHEOLOGY, 2009, 53 (04) :957-1000
[8]   Anisotropic Cooperative Structural Rearrangements in Sheared Supercooled Liquids [J].
Furukawa, Akira ;
Kim, Kang ;
Saito, Shinji ;
Tanaka, Hajime .
PHYSICAL REVIEW LETTERS, 2009, 102 (01)
[9]   Comparison of structure and transport properties of concentrated hard and soft sphere fluids [J].
Lange, Erik ;
Caballero, Jose B. ;
Puertas, Antonio M. ;
Fuchs, Matthias .
JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (17)
[10]   Molecular hydrodynamic theory of supercooled liquids and colloidal suspensions under shear [J].
Miyazaki, K ;
Reichman, DR .
PHYSICAL REVIEW E, 2002, 66 (05) :4-050501