Abstract
Spatial confinement is known to induce a drastic change in the viscosity, relaxation times, and flow profile of liquids near the glass (or jamming) transition point. The essential underlying question is how a wall affects the dynamics of densely packed systems. Here we study this fundamental problem, using experiments on a driven granular hard-sphere liquid and numerical simulations of polydisperse and bidisperse colloidal liquids. The nearly hard-core nature of the particle–wall interaction provides an ideal opportunity to study purely geometrical confinement effects. We reveal that the slower dynamics near a wall is induced by wall-induced enhancement of ‘glassy structural order’, which is a manifestation of strong interparticle correlations. By generalizing the structure-dynamics relation for bulk systems, we find a quantitative relation between the structural relaxation time at a certain distance from a wall and the correlation length of glassy structural order there. Our finding suggests that glassy structural ordering may be the origin of the slow glassy dynamics of a supercooled liquid.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Martin, C. R. Nanomaterials: A Membrane-based synthetic approach. Science 266, 1961–1966 (1994).
Bhushan, B., Israelachvili, J. N. & Landman, U. Nanotribology: Friction, wear and lubrication at the atomic scale. Nature 374, 607–616 (1995).
Whitesides, G. M. The origins and the future of microfluidics. Nature 442, 368–373 (2006).
Goyon, J., Colin, A., Ovarlez, G., Ajdari, A. & Bocquet, L. Spatial cooperativity in soft glassy flows. Nature 454, 84–87 (2008).
Drake, J. M. & Klafter, J. Dynamics of confined molecular systems. Phys. Today 43, 46–55 (May, 1990).
Granick, S. Motions and relaxations of confined liquids. Science 253, 1374–1379 (1991).
Jackson, C. L. & McKenna, G. B. The glass transition of organic liquids confined to small pores. J. Non-Cryst. Solids 131–133, 221–224 (1991).
Alcoutlabi, M. & McKenna, G. B. Effects of confinement on material behaviour at the nanometre size scale. J. Phys. Condens. Matter 17, R461–R524 (2005).
Forrest, J. A. & Dalnoki-Veress, K. The glass transition in thin polymer films. Adv. Colloid Interface Sci. 94, 167–195 (2001).
Teboul, V. & Alba Simionesco, C. Properties of a confined molecular glass-forming liquid. J. Phys. Condens. Matter 14, 5699–5709 (2002).
Fukao, K. & Miyamoto, Y. Glass transitions and dynamics in thin polymer films: Dielectric relaxation of thin films of polystyrene. Phys. Rev. E 61, 1743–1754 (2000).
Debenedetti, P. G. & Stillinger, F. H. Supercooled liquids and the glass transition. Nature 410, 259–267 (2001).
Schmidt-Rohr, K. & Spiess, H. W. Nature of nonexponetial loss of correlation above the glass transition investigated by multidimensional NMR. Phys. Rev. Lett. 66, 3020–3023 (1991).
Hurley, M. M. & Harrowell, P. Non-Gaussian behaviour and the dynamical complexity of particle motion in a dense two-dimensional liquid. J. Chem. Phys. 105, 10521–10526 (1996).
Sillescu, H. Heterogeneity at the glass transition: A review. J. Non-Cryst. Solids 243, 81–108 (1999).
Ediger, M. D. Spatially heterogeneous dynamics in supercooled liquids. Annu. Rev. Phys. Chem. 51, 99–128 (2000).
Richert, R. Heterogeneous dynamics in liquids: Fluctuations in space and time. J. Phys. Condens. Matter 14, R703–R738 (2002).
Kegel, W. K. & van Blaaderen, A. Direct observation of dynamical heterogeneities in colloidal hard-sphere suspensions. Science 287, 290–293 (2000).
Yamamoto, R. & Onuki, A. Kinetic heterogeneities in a highly supercooled liquid. J. Phys. Soc. Jpn 66, 2545–2548 (1997).
Kob, W., Donati, C., Plimpton, S. J., Poole, P. H. & Glotzer, S. C. Dynamical heterogeneities in a supercooled Lennard-Jones liquid. Phys. Rev. Lett. 79, 2827–2830 (1997).
Russell, E. V. & Israeloff, N. E. Direct observation of molecular cooperativity near the glass transition. Nature 408, 695–698 (2000).
Mel’nichenko, Y. B., Schüller, J., Richert, R., Ewen, B. & Loong, C-K. Dynamics of hydrogen-bonded liquids confined to mesopores: A dielectric and neutron spectroscopy study. J. Chem. Phys. 103, 2016–2024 (1995).
Fehr, T. & Löwen, H. Glass transition in confined geometry. Phys. Rev. E 52, 4016–4025 (1995).
Németh, Z. T. & Löwen, H. Freezing and glass transition of hard spheres in cavities. Phys. Rev. E 59, 6824–6829 (1999).
Archer, A. J., Hopkins, P. & Schmidt, M. Dynamics in inhomogeneous liquids and glasses via the test particle limit. Phys. Rev. E 75, 040501(R) (2007).
Mittal, J., Truskett, T. M., Errington, J. R. & Hummer, G. Layering and position-dependent diffusive dynamics of confined fluids. Phys. Rev. Lett. 100, 145901 (2008).
Scheidler, P., Kob, W. & Binder, K. The relaxation dynamics of a simple glass former confined in a pore. Europhys. Lett. 52, 277–283 (2000).
Scheidler, P., Kob, W. & Binder, K. Cooperative motion and growing length scales in supercooled confined liquids. Europhys. Lett. 59, 701–707 (2002).
Scheidler, P., Kob, W. & Binder, K. The relaxation dynamics of a supercooled liquid confined by rough walls. J. Phys. Chem. B 108, 6673–6686 (2004).
Nugent, C. R., Edmond, K. V., Patel, H. N. & Weeks, E. R. Colloidal glass transition observed in confinement. Phys. Rev. Lett. 99, 025702 (2007).
Mittal, J., Errington, J. R. & Truskett, T. M. Does confining the hard-sphere fluid between hard walls change its average properties? J. Chem. Phys. 126, 244708 (2007).
Goel, G., Krekelberg, W. P., Errington, J. R. & Truskett, T. M. Tuning density profiles and mobility of inhomogeneous fluids. Phys. Rev. Lett. 100, 106001 (2008).
Biroli, G., Bouchaud, J. P., Cavagna, A., Grigera, T. S. & Verrochio, P. Thermodynamic signature of growing amorphous order in glass-forming liquids. Nature Phys. 4, 771–775 (2008).
Kawasaki, T., Araki, T. & Tanaka, H. Correlation between dynamic heterogeneity and medium-range order in two-dimensional glass-forming liquids. Phys. Rev. Lett. 99, 215701 (2007).
Watanabe, K. & Tanaka, H. Direct observation of medium-range crystalline order in granular liquids near the glass transition. Phys. Rev. Lett. 100, 158002 (2008).
Tanaka, H., Kawasaki, T., Shintani, H. & Watanabe, K. Critical-like behaviour of glass-forming liquids. Nature Mater. 9, 324–331 (2010).
Kawasaki, T. & Tanaka, H. Structural origin of dynamic heterogeneity in three-dimensional colloidal glass formers and its link to crystal nucleation. J. Phys. Condens. Matter 22, 232102 (2010).
Nelson, D. R. Defects and Geometry in Condensed Matter Physics (Cambridge Univ. Press, 2002).
Dullens, R. P. A. & Kegel, W. K. Topological lifetimes of polydisperse colloidal hard spheres at a wall. Phys. Rev. E 71, 011405 (2005).
Kawasaki, T. & Tanaka, H. Formation of crystal nucleus from liquid. Proc. Natl Acad. Sci. USA 107, 14036–14041 (2010).
Baranyai, A. & Evans, D. J. Direct entropy calculation from computer simulation of liquids. Phys. Rev. A 40, 3817–3822 (1989).
Mountain, R. D. & Raveché, H. J. Entropy and molecular correlation functions in open systems. II Two- and three-Body correlations. J. Chem. Phys. 55, 2250 (1971).
Shintani, H. & Tanaka, H. Frustration on the way to crystallization in glass. Nature Phys. 2, 200–206 (2006).
Cahn, J. W. Critical-point wetting. J. Chem. Phys. 66, 3667–3672 (1977).
Binder, K. Phase Transition and Critical Phenomena Vol. 8, 1–144 (Academic, 1983).
Goyon, J., Colin, A. & Bocquet, L. How does a soft glassy material flow: Finite size effects, non local rheology, and flow cooperativity. Soft Matter 6, 2668–2678 (2010).
Samanta, A., Ali, S. M. & Ghosh, S. New universal scaling laws of diffusion and Kolmogorov–Sinai entropy in simple liquids. Phys. Rev. Lett. 92, 145901 (2004).
Steinhardt, P. J., Nelson, D. R. & Ronchetti, M. Bond-orientational order in liquids and glasses. Phys. Rev. B 28, 784–805 (1983).
ten Wolde, P. R., Ruiz-Montero, M. J. & Frenkel, D. Numerical calculation of the rate of crystal nucleation in a Lennard-Jones system at moderate undercooling. J. Chem. Phys. 104, 9932–9947 (1996).
Lechner, W. & Dellago, C. Accurate determination of crystal structures based on averaged local bond order parameters. J. Chem. Phys. 129, 114707 (2008).
Acknowledgements
The authors are grateful to W. Kob for valuable discussions. This work was partly supported by a grant-in-aid from the Ministry of Education, Culture, Sports, Science and Technology, Japan and also by the Japan Society for the Promotion of Science (JSPS) through its FIRST Program.
Author information
Authors and Affiliations
Contributions
H.T. conceived the project, K.W. performed granular experiments, T.K. performed numerical simulations, all authors analysed the data, and H.T. wrote the manuscript. K.W. and T.K. contributed equally to this work.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Rights and permissions
About this article
Cite this article
Watanabe, K., Kawasaki, T. & Tanaka, H. Structural origin of enhanced slow dynamics near a wall in glass-forming systems. Nature Mater 10, 512–520 (2011). https://doi.org/10.1038/nmat3034
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/nmat3034
This article is cited by
-
Visualizing slow internal relaxations in a two-dimensional glassy system
Nature Physics (2023)
-
Predicting the crystalline phase generation effectively in monosized granular matter using machine learning
Granular Matter (2022)
-
Fast crystal growth at ultra-low temperatures
Nature Materials (2021)
-
Toughening Mechanism of Thermal Barrier Coatings
International Journal of Thermophysics (2021)
-
Revealing key structural features hidden in liquids and glasses
Nature Reviews Physics (2019)