JCPT  Vol.4 No.2 , April 2014
Influence of Random Pinning on the Crystallization Process in Suspensions of Hard Spheres
ABSTRACT
We discuss crystal formation in supersaturated suspensions of monodisperse hard spheres with a concentration of hard spheres randomly pinned in space and time. The pinning procedure introduces an external length scale and an external time scale that restrict the accessible number of configureurations and ultimately the number of pathways leading to crystallization. We observe a significant drop in the nucleation rate density at a characteristic pinning concentration that can be directly related to the structure of the critical nucleus and the dynamics of its formation in the unpinned system.

Cite this paper
Dorosz, S. and Schilling, T. (2014) Influence of Random Pinning on the Crystallization Process in Suspensions of Hard Spheres. Journal of Crystallization Process and Technology, 4, 89-98. doi: 10.4236/jcpt.2014.42012.
References
[1]   Lechner, W., Dellago, C. and Bolhuis, P.G. (2011) Role of the Prestructured Surface Cloud in Crystal Nucleation. Physical Review Letters, 106, Article ID: 085701.

[2]   Schilling, T., Schope, H.J., Oettel, M., Opletal, G. and Snook, I. (2010) Precursor-Mediated Crystallization Process in Suspensions of Hard Spheres. Physical Review Letters, 105, Article ID: 025701.

[3]   Russo, J., Maggs, A.C., Bonn, D. and Tanaka, H. (2013) The Interplay of Sedimentation and Crystallization in Hard-Sphere Suspensions. Soft Matter, 9, 7369. http://dx.doi.org/10.1039/c3sm50980j

[4]   Pusey, P.N., Zaccarelli, E., Valeriani, C., Sanz, E., Poon, W.C.K. and Cates, M.E. (2009) Hard Spheres: Crystallization and Glass Formation. Philosophical Transactions of the Royal Society A, 367, 4993-5011.

[5]   Saika-Voivod, I., Bowles, R.K. and Poole, P.H. (2009) Crystal Nucleation in a Supercooled Liquid with Glassy Dynamics. Physical Review Letters, 103, Article ID: 225701.
http://dx.doi.org/10.1103/PhysRevLett.103.225701

[6]   Auer, S. and Frenkel, D. (2001) Prediction of Absolute Crystal-Nucleation Rate in Hard-Sphere Colloids. Nature, 409, 1020-1023 http://dx.doi.org/10.1038/35059035

[7]   Filion, L., Hermes, M., Ni, R. and Dijkstra, M. (2010) Crystal Nucleation of Hard Spheres Using Molecular Dynamics, Umbrella Sampling, and forward Flux Sampling: A Comparison of Simulation Techniques. The Journal of Chemical Physics, 133, 244115. http://dx.doi.org/10.1063/1.3506838

[8]   Schilling, T., Dorosz, S., Schope, H.J. and Opletal, G. (2011) Crystallization in Suspensions of Hard Spheres: A Monte Carlo and Molecular Dynamics Simulation Study. Journal of Physics: Condensed Matter, 23, Article ID: 194120.

[9]   Krakoviack, V. (2010) Statistical Mechanics of Homogeneous Partly Pinned Fluid Systems. Physical Review E, 82, Article ID: 061501. http://dx.doi.org/10.1103/PhysRevE.82.061501

[10]   Kurzidim, J., Coslovich, D. and Kahl, G. (2010) Impact of Random Obstacles on the Dynamics of a Dense Colloidal Fluid. Physical Review E, 82, Article ID: 041505. http://dx.doi.org/10.1103/PhysRevE.82.041505

[11]   Kurzidim, J. and Kahl, G. (2011) Accessible Volume in Quenched-Annealed Mixtures of Hard Spheres: A Geometric Decomposition. Molecular Physics, 109, 1331-1342.
http://dx.doi.org/10.1080/00268976.2011.556579

[12]   Kim, K. (2003) Effects of Pinned Particles on the Structural Relaxation of Supercooled Liquids. EPL (Europhysics Letters), 61, 790.

[13]   Kim, K. and Miyazaki, K. and Saito, S. (2011) Slow Dynamics, Dynamic Heterogeneities, and Fragility of Supercooled Liquids Confined in Random Media. Journal of Physics: Condensed Matter, 23, Article ID: 234123.

[14]   Cammarota, C. and Biroli, G. (2012). Ideal Glass Transitions by Random Pinning. PNAS, 109, 8850-8855.
http://dx.doi.org/10.1073/pnas.1111582109

[15]   Lang, S., Botan, V., Oettel, M., Hajnal, D., Franosch, T. and Schilling, R. (2010) Glass Transition in Confined Geometry. Physical Review Letters, 105, Article ID: 125701.
http://dx.doi.org/10.1103/PhysRevLett.105.125701

[16]   Viramontes-Gamboa, G., Arauz-Lara, J.L. and Medina-Noyola, M. (1995) Tracer Diffusion in a Brownian Fluid Permeating a Porous Medium. Physical Review Letters, 75, 759-762.

[17]   Berthier, L. and Kob, W. (2012) Static Point-to-Set Correlations in Glass-Forming Liquids. Physical Review E, 85, Article ID: 011102. http://dx.doi.org/10.1103/PhysRevE.85.011102

[18]   Berthier, L. and Biroli, G. (2011) Theoretical Perspective on the Glass Transition and Amorphous Materials. Reviews of Modern Physics, 83, 587-645.

[19]   Krakoviack, V. (2005) Liquid-Glass Transition of a Fluid Confined in a Disordered Porous Matrix: A Mode-Coupling Theory. Physical Review Letters, 94, Article ID: 065703.
http://dx.doi.org/10.1103/PhysRevLett.94.065703

[20]   Krakoviack, V. (2011) Mode-Coupling Theory Predictions for the Dynamical Transitions of Partly Pinned Fluid Systems. Physical Review E, 84, Article ID: 050501. http://dx.doi.org/10.1103/PhysRevE.84.050501

[21]   Jack, R.L. and Fullerton, C.J. (2013) Dynamical Correlations in a Glass Former with Randomly Pinned Particles. Physical Review E, 88, 042304. http://dx.doi.org/10.1103/PhysRevE.88.042304

[22]   Karmakar, S. and Parisi, G. (2013) Random Pinning Glass Model. Proceedings of the National Academy of Sciences of the Unite States of America, 110, 2752-2757. http://dx.doi.org/10.1073/pnas.1222848110

[23]   Brito, C., Parisi, G. and Zamponi, F. (2013) Jamming Transition of Randomly Pinned Systems. Soft Matter, 9, 8540-8546. http://dx.doi.org/10.1039/c3sm50998b

[24]   Alder, B.J. and Wainwright, T.E. (1959) Studies in Molecular Dynamics. I. General Method. Journal of Chemical Physics, 31, 459-466. http://dx.doi.org/10.1063/1.1730376

[25]   Lubachevsky, B.D. (1991) How to Simulate Billiards and Similar Systems. Journal of Computational Physics, 94, 255-283. http://dx.doi.org/10.1016/0021-9991(91)90222-7

[26]   Steinhardt, P.J., Nelson, D.R. and Ronchetti, M. (1983) Bond-Orientational Order in Liquids and Glasses. Physical Review B, 28, 784-805. http://dx.doi.org/10.1103/PhysRevB.28.784

[27]   Rein ten Wolde, P., Ruiz-Montero, M.J. and Frenkel, D. (1995) Numerical Evidence for bcc Ordering at the Surface of a Critical fcc Nucleus. Physical Review Letters, 75, 2714-2717.
http://dx.doi.org/10.1103/PhysRevLett.75.2714

[28]   Binder, K. and Kob, W. (2011) Glassy Materials and Disordered Solids: An Introduction to Their Statistical Mechanics. Revised Edition, World Scientific, Singapore City. http://dx.doi.org/10.1142/7300

[29]   Hermes, M., Vermolen, E.C.M., Leunissen, M.E., Vossen, D.L.J., van Oostrum, P.D.J., Dijkstra, M. and van Blaaderen, A. (2011) Nucleation of Colloidal Crystals on Configurable Seed Structures. Soft Matter, 7, 4623-4628.
http://dx.doi.org/10.1039/c0sm01219j

[30]   Jungblut, S. and Dellago, C. (2013) Crystallization on Prestructured Seeds. Physical Review E, 87, Article ID: 012305.
http://dx.doi.org/10.1103/PhysRevE.87.012305

[31]   Berthier, L. and Kob, W. (2007) The Monte Carlo Dynamics of a Binary Lennard-Jones Glass-Forming Mixture. Journal of Physics: Condensed Matter, 19, Article ID: 205130. http://dx.doi.org/10.1088/0953-8984/19/20/205130

[32]   Patti, A. and Cuetos, A. (2012) Brownian Dynamics and Dynamic Monte Carlo Simulations of Isotropic and Liquid Crystal Phases of Anisotropic Colloidal Particles: A Comparative Study. Physical Review E, 86, Article ID: 011403.
http://dx.doi.org/10.1103/PhysRevE.86.011403

[33]   Sanz, E. and Marenduzzo, D. (2010) Dynamic Monte Carlo versus Brownian Dynamics: A Comparison for Self-Diffusion and Crystallization in Colloidal Fluids. The Journal of Chemical Physics, 132, Article ID: 194102.
http://dx.doi.org/10.1063/1.3414827

 
 
Top