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Transport coefficients and mechanical response in hard-disk colloidal suspensions |
| Bo-Kai Zhang(张博凯)1, Jian Li(李健)3, Kang Chen(陈康)2, Wen-De Tian(田文得)2, Yu-Qiang Ma(马余强)1,2 |
1 National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
2 Center for Soft Condensed Matter Physics & Interdisciplinary Research, College of Physics, Optoelectronics and Energy, Soochow University, Suzhou 215006, China;
3 Department of Physics, Nanjing Normal University, Nanjing 210023, China |
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Abstract We investigate the transport properties and mechanical response of glassy hard disks using nonlinear Langevin equation theory. We derive expressions for the elastic shear modulus and viscosity in two dimensions on the basis of thermal-activated barrier-hopping dynamics and mechanically accelerated motion. Dense hard disks exhibit phenomena such as softening elasticity, shear-thinning of viscosity, and yielding upon deformation, which are qualitatively similar to dense hard-sphere colloidal suspensions in three dimensions. These phenomena can be ascribed to stress-induced “landscape tilting”. Quantitative comparisons of these phenomena between hard disks and hard spheres are presented. Interestingly, we find that the density dependence of yield stress in hard disks is much more significant than in hard spheres. Our work provides a foundation for further generalizing the nonlinear Langevin equation theory to address slow dynamics and rheological behavior in binary or polydisperse mixtures of hard or soft disks.
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Received: 14 June 2016
Revised: 22 July 2016
Accepted manuscript online:
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| Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB821500) and the National Natural Science Foundation of China (Grant Nos. 21374073 and 21574096). |
Corresponding Authors:
Bo-Kai Zhang
E-mail: bkzhang@smail.nju.edu.cn
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Cite this article:
Bo-Kai Zhang(张博凯), Jian Li(李健), Kang Chen(陈康), Wen-De Tian(田文得), Yu-Qiang Ma(马余强) Transport coefficients and mechanical response in hard-disk colloidal suspensions 2016 Chin. Phys. B 25 116101
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| [1] |
Faupel F, Frank W, Macht M P, Mehrer H, Naundorf V, Rätzke K, Schober H R, Sharma S K and Teichler H 2003 Rev. Mod. Phys. 75 237
|
| [2] |
Larson R G 1999 The Structure and Rheology of Complex Fluids (New York:Oxford University Press)
|
| [3] |
Ashcroft N W and Mermin N D 2005 Solid State Physics (New York:Holt, Rinehart and Winston)
|
| [4] |
Berthier L and Biroli G 2011 Rev. Mod. Phys. 83 587
|
| [5] |
Saltzman E J and Schweizer K S 2003 J. Chem. Phys. 119 1197
|
| [6] |
Dyre J C 1987 Phys. Rev. Lett. 58 792
|
| [7] |
Arkhipov V and Bässler H 1995 Phys. Rev. E 52 1227
|
| [8] |
Bouchaud J P, Cugliandolo L, Kurchan J and Mézard M 1996 Physica A 226 243
|
| [9] |
Monthus C and Bouchaud J P 1996 J. Phys. A:Math. Gen. 29 3847
|
| [10] |
Berthier L 2003 J. Phys:Condens. Matter 15 S933
|
| [11] |
Fuchs M and Cates M E 2002 Phys. Rev. Lett. 89 248304
|
| [12] |
Cates M E, Fuchs M, Kroy K, Poon W C and Puertas A M 2004 J. Phys:Condens. Matter 16 S4861
|
| [13] |
Konig H, Hund R, Zahn K and Maret G 2005 Eur. Phys. J. E 18 287
|
| [14] |
Ebert F, Keim P and Maret G 2008 Eur. Phys. J. E 26 161
|
| [15] |
Mazoyer S, Ebert F, Maret G and Keim P 2009 Europhysics. Lett. 88 66004
|
| [16] |
Klix C L, Ebert F, Weysser F, Fuchs M, Maret G and Keim P 2012 Phys. Rev. Lett. 109 178301
|
| [17] |
Bayer M, Brader J M, Ebert F, Fuchs M, Lange E, Maret G, Schilling R, Sperl M and Wittmer J P 2007 Phys. Rev. E 76 011508
|
| [18] |
Henrich O, Weysser F, Cates M E and Fuchs M 2009 Philos. Mag. R. Soc. London 367 5033
|
| [19] |
Seyboldt R, Hajnal D, Weysser F and Fuchs M 2012 Soft Matter 8 4132
|
| [20] |
Schweizer K S and Saltzman E J 2003 J. Chem. Phys. 119 1181
|
| [21] |
Schweizer K S 2005 J. Chem. Phys. 123 244501
|
| [22] |
Mirigian S and Schweizer K S 2013 J. Phys. Chem. Lett. 4 3648
|
| [23] |
Mirigian S and Schweizer K S 2014 J. Chem. Phys. 140 194506
|
| [24] |
Mirigian S and Schweizer K S 2014 J. Chem. Phys. 140 194507
|
| [25] |
Dell Z E and Schweizer K S 2015 Phys. Rev. Lett. 115 205702
|
| [26] |
Chen K and Schweizer K S 2007 Europhys. Lett. 79 26006
|
| [27] |
Chen K and Schweizer K S 2009 Phys. Rev. Lett. 102 038301
|
| [28] |
Kobelev V and Schweizer K S 2005 J. Chem. Phys. 123 164902
|
| [29] |
Kobelev V and Schweizer K S 2007 Phys. Rev. E 71 021401
|
| [30] |
Zhang B K, Li H S, Tian W D, Chen K and Ma Y Q 2014 J. Chem. Phys. 140 094506
|
| [31] |
Zwanzig R 2001 Nonequilibrium Statistical Mechanics (New York:Oxford University Press)
|
| [32] |
Verberg R, Schepper D I and Cohen E 1997 Phys. Rev. E 55 3143
|
| [33] |
Cohen E, Verberg R and Schepper D I 1998 Physica A 251 251
|
| [34] |
Hansen J P and McDonald I R 1990 Theory of Simple Liquids (Amsterdam:Elsevier)
|
| [35] |
Wu J and Li Z 2007 Annu. Rev. Phys. Chem. 58 85
|
| [36] |
Guo X and Riebel U 2006 J. Chem. Phys. 125 144504
|
| [37] |
Hänggi P, Talkner P and Borkovec M 1990 Rev. Mod. Phys. 62 251
|
| [38] |
Eyring H 1936 J. Chem. Phys. 4 283
|
| [39] |
Gotze W 2008 Complex Dynamics of Glass-forming Liquids (New York:Oxford University Press)
|
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