Dynamical facilitation governs glassy dynamics in suspensions of colloidal ellipsoids
Edited by David Chandler, University of California, Berkeley, CA, and approved September 15, 2014 (received for review July 16, 2014)
Significance
Although glasses have been used for a plethora of applications since times immemorial, the basic physics underlying their formation remains mysterious. Furthermore, although competing theories are routinely tested in glass formers comprising spherical particles, little is known about anisotropic systems, despite the fact that most molecular liquids exhibit anisotropy in shape and interactions. Here, we have applied the dynamical facilitation (DF) approach, a prominent theory of the glass transition, to study glass formation in suspensions of colloidal ellipsoids with attractive interactions. We observe that DF can not only explain the phenomenology of glass formation in ellipsoids but also predict the existence of reentrant glass transitions, suggesting that DF can be the dominant mechanism of structural relaxation in realistic glass formers.
Abstract
One of the greatest challenges in contemporary condensed matter physics is to ascertain whether the formation of glasses from liquids is fundamentally thermodynamic or dynamic in origin. Although the thermodynamic paradigm has dominated theoretical research for decades, the purely kinetic perspective of the dynamical facilitation (DF) theory has attained prominence in recent times. In particular, recent experiments and simulations have highlighted the importance of facilitation using simple model systems composed of spherical particles. However, an overwhelming majority of liquids possess anisotropy in particle shape and interactions, and it is therefore imperative to examine facilitation in complex glass formers. Here, we apply the DF theory to systems with orientational degrees of freedom as well as anisotropic attractive interactions. By analyzing data from experiments on colloidal ellipsoids, we show that facilitation plays a pivotal role in translational as well as orientational relaxation. Furthermore, we demonstrate that the introduction of attractive interactions leads to spatial decoupling of translational and rotational facilitation, which subsequently results in the decoupling of dynamical heterogeneities. Most strikingly, the DF theory can predict the existence of reentrant glass transitions based on the statistics of localized dynamical events, called excitations, whose duration is substantially smaller than the structural relaxation time. Our findings pave the way for systematically testing the DF approach in complex glass formers and also establish the significance of facilitation in governing structural relaxation in supercooled liquids.
Acknowledgments
S.G. thanks the Council for Scientific and Industrial Research (CSIR), India, for a Shyama Prasad Mukherjee Fellowship. K.H.N. thanks CSIR, India, for a Senior Research Fellowship. R.G. thanks the International Centre for Materials Science, Jawaharlal Nehru Centre for Advanced Scientific Research for financial support. A.K.S. thanks Department of Science and Technology, India, for support under J. C. Bose Fellowship.
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References
1
MS Shackley Obsidian: Geology and Archaeology in the North American Southwest (Univ of Arizona Press, Tucson, AZ, 2005).
2
MD Demetriou, et al., A damage-tolerant glass. Nat Mater 10, 123–128 (2011).
3
SJ Gerbode, et al., Glassy dislocation dynamics in 2d colloidal dimer crystals. Phys Rev Lett 105, 078301 (2010).
4
S Jiang, et al., Orientationally glassy crystals of janus spheres. Phys Rev Lett 112, 218301 (2014).
5
SC Glotzer, MJ Solomon, Anisotropy of building blocks and their assembly into complex structures. Nat Mater 6, 557–562 (2007).
6
G Adam, JH Gibbs, On the temperature dependence of cooperative relaxation properties in glass-forming liquids. J Chem Phys 43, 139–146 (1965).
7
T Kirkpatrick, D Thirumalai, PG Wolynes, Scaling concepts for the dynamics of viscous liquids near an ideal glassy state. Phys Rev A 40, 1045–1054 (1989).
8
V Lubchenko, PG Wolynes, Theory of structural glasses and supercooled liquids. Annu Rev Phys Chem 58, 235–266 (2007).
9
JP Garrahan, D Chandler, Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems. Phys Rev Lett 89, 035704 (2002).
10
D Chandler, J Garrahan, Dynamics on the way to forming glass: Bubbles in space-time. Annu Rev Phys Chem 61, 191–217 (2010).
11
G Biroli, JP Bouchaud, A Cavagna, T Grigera, P Verrocchio, Thermodynamic signature of growing amorphous order in glass-forming liquids. Nat Phys 4, 771–775 (2008).
12
S Karmakar, C Dasgupta, S Sastry, Growing length and time scales in glass-forming liquids. Proc Natl Acad Sci USA 106, 3675–3679 (2009).
13
H Tanaka, T Kawasaki, H Shintani, K Watanabe, Critical-like behaviour of glass-forming liquids. Nat Mater 9, 324–331 (2010).
14
J Kurchan, D Levine, Order in glassy systems. J Phys A Math Theor 44, 035001 (2011).
15
S Karmakar, E Lerner, I Procaccia, Direct estimate of the static length-scale accompanying the glass transition. Physica A 391, 1001–1008 (2012).
16
AJ Dunleavy, K Wiesner, CP Royall, Using mutual information to measure order in model glass formers. Phys Rev E Stat Nonlin Soft Matter Phys 86, 041505 (2012).
17
C Donati, et al., Stringlike cooperative motion in a supercooled liquid. Phys Rev Lett 80, 2338–2341 (1998).
18
ER Weeks, JC Crocker, AC Levitt, A Schofield, DA Weitz, Three-dimensional direct imaging of structural relaxation near the colloidal glass transition. Science 287, 627–631 (2000).
19
WK Kegel, et al., Direct observation of dynamical heterogeneities in colloidal hard-sphere suspensions. Science 287, 290–293 (2000).
20
L Berthier, et al., Direct experimental evidence of a growing length scale accompanying the glass transition. Science 310, 1797–1800 (2005).
21
W Kob, S Roldán-Vargas, L Berthier, Non-monotonic temperature evolution of dynamic correlations in glass-forming liquids. Nat Phys 8, 164–167 (2012).
22
P Charbonneau, G Tarjus, Decorrelation of the static and dynamic length scales in hard-sphere glass formers. Phys Rev E Stat Nonlin Soft Matter Phys 87, 042305 (2013).
23
AS Keys, LO Hedges, JP Garrahan, SC Glotzer, D Chandler, Excitations are localized and relaxation is hierarchical in glass-forming liquids. Phys Rev X 1, 021013 (2011).
24
S Gokhale, KH Nagamanasa, R Ganapathy, A Sood, Growing dynamical facilitation on approaching the random pinning colloidal glass transition. Nat Commun 5, 4685 (2014).
25
SM Bhattacharyya, B Bagchi, PG Wolynes, Facilitation, complexity growth, mode coupling, and activated dynamics in supercooled liquids. Proc Natl Acad Sci USA 105, 16077–16082 (2008).
26
M Vogel, SC Glotzer, Spatially heterogeneous dynamics and dynamic facilitation in a model of viscous silica. Phys Rev Lett 92, 255901 (2004).
27
MN Bergroth, M Vogel, SC Glotzer, Examination of dynamic facilitation in molecular dynamics simulations of glass-forming liquids. J Phys Chem B 109, 6748–6753 (2005).
28
R Candelier, O Dauchot, G Biroli, Building blocks of dynamical heterogeneities in dense granular media. Phys Rev Lett 102, 088001 (2009).
29
R Candelier, et al., Spatiotemporal hierarchy of relaxation events, dynamical heterogeneities, and structural reorganization in a supercooled liquid. Phys Rev Lett 105, 135702 (2010).
30
L Berthier, G Biroli, Theoretical perspective on the glass transition and amorphous materials. Rev Mod Phys 83, 587–645 (2011).
31
R Candelier, O Dauchot, G Biroli, Dynamical facilitation decreases when approaching the granular glass transition. EPL 92, 24003 (2010).
32
G Biroli, JP Garrahan, Perspective: The glass transition. J Chem Phys 138, 12A301 (2013).
33
CK Mishra, A Rangarajan, R Ganapathy, Two-step glass transition induced by attractive interactions in quasi-two-dimensional suspensions of ellipsoidal particles. Phys Rev Lett 110, 188301 (2013).
34
YS Elmatad, AS Keys, Manifestations of dynamical facilitation in glassy materials. Phys Rev E Stat Nonlin Soft Matter Phys 85, 061502 (2012).
35
S Asakura, F Oosawa, On interaction between two bodies immersed in a solution of macromolecules. J Chem Phys 22, 1255–1256 (1954).
36
P Schiller, S Kruger, M Wahab, HJ Mogel, Interactions between spheroidal colloidal particles. Langmuir 27, 10429–10437 (2011).
37
Y Gebremichael, M Vogel, S Glotzer, Particle dynamics and the development of string-like motion in a simulated monoatomic supercooled liquid. J Chem Phys 120, 4415–4427 (2004).
38
R Schilling, T Scheidsteger, Mode coupling approach to the ideal glass transition of molecular liquids: Linear molecules. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 56, 2932–2949 (1997).
39
T Franosch, M Fuchs, W Götze, MR Mayr, A Singh, Theory for the reorientational dynamics in glass-forming liquids. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 56, 5659–5674 (1997).
40
M Letz, R Schilling, A Latz, Ideal glass transitions for hard ellipsoids. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 62, 5173–5178 (2000).
41
C De Michele, R Schilling, F Sciortino, Dynamics of uniaxial hard ellipsoids. Phys Rev Lett 98, 265702 (2007).
42
Z Zheng, F Wang, Y Han, Glass transitions in quasi-two-dimensional suspensions of colloidal ellipsoids. Phys Rev Lett 107, 065702 (2011).
43
Z Zheng, et al., Structural signatures of dynamic heterogeneities in monolayers of colloidal ellipsoids. Nat Commun 5, 3829 (2014).
44
C Ho, A Keller, J Odell, R Ottewill, Preparation of monodisperse ellipsoidal polystyrene particles. Colloid Polym Sci 271, 469–479 (1993).
45
JC Crocker, DG Grier, Methods of digital video microscopy for colloidal studies. J Colloid Interface Sci 179, 298–310 (1996).
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Published online: October 13, 2014
Published in issue: October 28, 2014
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Acknowledgments
S.G. thanks the Council for Scientific and Industrial Research (CSIR), India, for a Shyama Prasad Mukherjee Fellowship. K.H.N. thanks CSIR, India, for a Senior Research Fellowship. R.G. thanks the International Centre for Materials Science, Jawaharlal Nehru Centre for Advanced Scientific Research for financial support. A.K.S. thanks Department of Science and Technology, India, for support under J. C. Bose Fellowship.
Notes
This article is a PNAS Direct Submission.
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The authors declare no conflict of interest.
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