Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods

Jadrich, Ryan; Schweizer, Kenneth S.

doi:10.1063/1.3669649

Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods

Journal Article · Wed Dec 21 00:00:00 EST 2011 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.3669649· OSTI ID:1876029

Jadrich, Ryan ^[1]; Schweizer, Kenneth S. ^[2]

Univ. of Illinois, Urbana, IL (United States); University of Illinois
Univ. of Illinois, Urbana, IL (United States)

The relationship between kinetic arrest, connectivity percolation, structure and phase separation in protein, nanoparticle, and colloidal suspensions is a rich and complex problem. Using a combination of integral equation theory, connectivity percolation methods, naïve mode coupling theory, and the activated dynamics nonlinear Langevin equation approach, we study this problem for isotropic one-component fluids of spheres and variable aspect ratio rigid rods, and also percolation in rod-sphere mixtures. The key control parameters are interparticle attraction strength and its (short) spatial range, total packing fraction, and mixture composition. For spherical particles, formation of a homogeneous one-phase kinetically stable and percolated physical gel is predicted to be possible, but depends on non-universal factors. On the other hand, the dynamic crossover to activated dynamics and physical bond formation, which signals discrete cluster formation below the percolation threshold, almost always occurs in the one phase region. Rods more easily gel in the homogeneous isotropic regime, but whether a percolation or kinetic arrest boundary is reached first upon increasing interparticle attraction depends sensitively on packing fraction, rod aspect ratio and attraction range. Overall, the connectivity percolation threshold is much more sensitive to attraction range than either the kinetic arrest or phase separation boundaries. Furthermore, our results appear to be qualitatively consistent with recent experiments on polymer-colloid depletion systems and brush mediated attractive nanoparticle suspensions.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-07ER46471

OSTI ID:: 1876029

Journal Information:: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 23 Vol. 135; ISSN 0021-9606

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (62)

Microfabrication: Conformal Printing of Electrically Small Antennas on Three-Dimensional Surfaces (Adv. Mater. 11/2011) Adams, Jacob J.; Duoss, Eric B.; Malkowski, Thomas F. Advanced Materials, Vol. 23, Issue 11 https://doi.org/10.1002/adma.201190032	journal	March 2011
Theory of percolation in fluids of long molecules Leung, Kevin; Chandler, David Journal of Statistical Physics, Vol. 63, Issue 5-6 https://doi.org/10.1007/BF01029986	journal	June 1991
Atomistic Modeling of Physical Properties Monnerie, Lucien; Suter, U. W. Advances in Polymer Science https://doi.org/10.1007/BFb0080194	book	January 1994
Brownian motion in a field of force and the diffusion model of chemical reactions Kramers, H. A. Physica, Vol. 7, Issue 4 https://doi.org/10.1016/S0031-8914(40)90098-2	journal	April 1940
Subdiffusion and the cage effect studied near the colloidal glass transition Weeks, Eric R.; Weitz, D. A. Chemical Physics, Vol. 284, Issue 1-2 https://doi.org/10.1016/S0301-0104(02)00667-5	journal	November 2002
The glass paradigm for colloidal glasses, gels, and other arrested states driven by attractive interactions Dawson, Kenneth A. Current Opinion in Colloid & Interface Science, Vol. 7, Issue 3-4 https://doi.org/10.1016/S1359-0294(02)00052-3	journal	August 2002
Dynamical fluctuation effects in glassy colloidal suspensions Schweizer, K. Current Opinion in Colloid & Interface Science, Vol. 12, Issue 6 https://doi.org/10.1016/j.cocis.2007.07.013	journal	December 2007
Gelation in Model Colloid−Polymer Mixtures Bergenholtz, J.; Poon, W. C. K.; Fuchs, M. Langmuir, Vol. 19, Issue 10 https://doi.org/10.1021/la0340089	journal	May 2003
Clustering and Mechanics in Dense Depletion and Thermal Gels ^† Ramakrishnan, S.; Gopalakrishnan, V.; Zukoski, C. F. Langmuir, Vol. 21, Issue 22 https://doi.org/10.1021/la050830w	journal	October 2005
Glassy Dynamics and Kinetic Vitrification of Isotropic Suspensions of Hard Rods Yatsenko, Galina; Schweizer, Kenneth S. Langmuir, Vol. 24, Issue 14 https://doi.org/10.1021/la8002492	journal	July 2008
Gelation of particles with short-range attraction Lu, Peter J.; Zaccarelli, Emanuela; Ciulla, Fabio Nature, Vol. 453, Issue 7194 https://doi.org/10.1038/nature06931	journal	May 2008
One liquid, two glasses Sciortino, Francesco Nature Materials, Vol. 1, Issue 3 https://doi.org/10.1038/nmat752	journal	November 2002
Microstructural regimes of colloidal rod suspensions, gels, and glasses Solomon, Michael J.; Spicer, Patrick T. Soft Matter, Vol. 6, Issue 7 https://doi.org/10.1039/b918281k	journal	January 2010
Extended corresponding-states behavior for particles with variable range attractions Noro, Massimo G.; Frenkel, Daan The Journal of Chemical Physics, Vol. 113, Issue 8 https://doi.org/10.1063/1.1288684	journal	August 2000
Continuum percolation in athermal mixtures of flexible and rigid macromolecules Wang, Xiaoling; Chatterjee, Avik P. The Journal of Chemical Physics, Vol. 116, Issue 1 https://doi.org/10.1063/1.1423619	journal	January 2002
Connectedness percolation in fluids of persistent chains Chatterjee, Avik P. The Journal of Chemical Physics, Vol. 117, Issue 23 https://doi.org/10.1063/1.1521718	journal	December 2002
Transport coefficients in glassy colloidal fluids Saltzman, Erica J.; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 119, Issue 2 https://doi.org/10.1063/1.1578633	journal	July 2003
Viscoelasticity and rheology of depletion flocculated gels and fluids Shah, S. A.; Chen, Y. -L; Schweizer, K. S. The Journal of Chemical Physics, Vol. 119, Issue 16 https://doi.org/10.1063/1.1598192	journal	October 2003
Optimized Cluster Expansions for Classical Fluids. II. Theory of Molecular Liquids Chandler, David; Andersen, Hans C. The Journal of Chemical Physics, Vol. 57, Issue 5 https://doi.org/10.1063/1.1678513	journal	September 1972
Microscopic theory of gelation and elasticity in polymer–particle suspensions Chen, Yeng-Long; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 120, Issue 15 https://doi.org/10.1063/1.1683077	journal	April 2004
Thermodynamics of High Polymer Solutions Flory, Paul J. The Journal of Chemical Physics, Vol. 10, Issue 1 https://doi.org/10.1063/1.1723621	journal	January 1942
Phase diagram of the adhesive hard sphere fluid Miller, Mark A.; Frenkel, Daan The Journal of Chemical Physics, Vol. 121, Issue 1 https://doi.org/10.1063/1.1758693	journal	January 2004
Phase behavior of short-range square-well model Pagan, D. L.; Gunton, J. D. The Journal of Chemical Physics, Vol. 122, Issue 18 https://doi.org/10.1063/1.1890925	journal	May 2005
Derivation of a microscopic theory of barriers and activated hopping transport in glassy liquids and suspensions Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 123, Issue 24 https://doi.org/10.1063/1.2137701	journal	December 2005
Ideal glass transitions, shear modulus, activated dynamics, and yielding in fluids of nonspherical objects Yatsenko, Galina; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 126, Issue 1 https://doi.org/10.1063/1.2405354	journal	January 2007
Theory of gelation, vitrification, and activated barrier hopping in mixtures of hard and sticky spheres Viehman, Douglas C.; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 128, Issue 8 https://doi.org/10.1063/1.2837295	journal	February 2008
Connectedness percolation in polydisperse rod systems: A modified Bethe lattice approach Chatterjee, Avik P. The Journal of Chemical Physics, Vol. 132, Issue 22 https://doi.org/10.1063/1.3436716	journal	June 2010
Dynamic free energies, cage escape trajectories, and glassy relaxation in dense fluids of uniaxial hard particles Zhang, Rui; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 133, Issue 10 https://doi.org/10.1063/1.3483601	journal	September 2010
A theory of percolation in liquids DeSimone, Tony; Demoulini, Sophia; Stratt, Richard M. The Journal of Chemical Physics, Vol. 85, Issue 1 https://doi.org/10.1063/1.451615	journal	July 1986
An interaction site approach to clustering and percolation phenomena in systems of nonspherical particles Lupkowski, M.; Monson, P. A. The Journal of Chemical Physics, Vol. 89, Issue 5 https://doi.org/10.1063/1.454936	journal	September 1988
Connectedness-in-probability and continuum percolation of adhesive hard spheres: Integral equation theory Chiew, Y. C. The Journal of Chemical Physics, Vol. 110, Issue 21 https://doi.org/10.1063/1.478977	journal	June 1999
Relaxation processes in supercooled liquids Gotze, W.; Sjogren, L. Reports on Progress in Physics, Vol. 55, Issue 3 https://doi.org/10.1088/0034-4885/55/3/001	journal	March 1992
Distribution of physical clusters Coniglio, A.; Angelis, U. De; Forlani, A. Journal of Physics A: Mathematical and General, Vol. 10, Issue 2 https://doi.org/10.1088/0305-4470/10/2/011	journal	February 1977
Pair connectedness and cluster size Coniglio, A.; Angelis, U. De; Forlani, A. Journal of Physics A: Mathematical and General, Vol. 10, Issue 7 https://doi.org/10.1088/0305-4470/10/7/011	journal	July 1977
Percolation behaviour of permeable and of adhesive spheres Chiew, Y. C.; Glandt, E. D. Journal of Physics A: Mathematical and General, Vol. 16, Issue 11 https://doi.org/10.1088/0305-4470/16/11/026	journal	August 1983
Recent tests of the mode-coupling theory for glassy dynamics Götze, Wolfgang Journal of Physics: Condensed Matter, Vol. 11, Issue 10A https://doi.org/10.1088/0953-8984/11/10A/002	journal	January 1999
Gel transitions in colloidal suspensions Bergenholtz, J.; Fuchs, M. Journal of Physics: Condensed Matter, Vol. 11, Issue 50 https://doi.org/10.1088/0953-8984/11/50/310	journal	December 1999
Colloidal gelation and non-ergodicity transitions Bergenholtz, J.; Fuchs, M.; Voigtmann, Th Journal of Physics: Condensed Matter, Vol. 12, Issue 29 https://doi.org/10.1088/0953-8984/12/29/329	journal	July 2000
Microstructure of dense colloid–polymer suspensions and gels Shah, S. A.; Chen, Y-L; Ramakrishnan, S. Journal of Physics: Condensed Matter, Vol. 15, Issue 27 https://doi.org/10.1088/0953-8984/15/27/308	journal	June 2003
Colloidal gels: equilibrium and non-equilibrium routes Zaccarelli, Emanuela Journal of Physics: Condensed Matter, Vol. 19, Issue 32 https://doi.org/10.1088/0953-8984/19/32/323101	journal	July 2007
Connections between some kinetic and equilibrium theories of the glass transition Kirkpatrick, T. R.; Wolynes, P. G. Physical Review A, Vol. 35, Issue 7 https://doi.org/10.1103/PhysRevA.35.3072	journal	April 1987
Nonergodicity transitions in colloidal suspensions with attractive interactions Bergenholtz, J.; Fuchs, M. Physical Review E, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevE.59.5706	journal	May 1999
Ideal glass-glass transitions and logarithmic decay of correlations in a simple system Fabbian, L.; Götze, W.; Sciortino, F. Physical Review E, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevE.59.R1347	journal	February 1999
Higher-order glass-transition singularities in colloidal systems with attractive interactions Dawson, K.; Foffi, G.; Fuchs, M. Physical Review E, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevE.63.011401	journal	December 2000
Elasticity and clustering in concentrated depletion gels Ramakrishnan, S.; Chen, Y. -L.; Schweizer, K. S. Physical Review E, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevE.70.040401	journal	October 2004
Barrier hopping, viscous flow, and kinetic gelation in particle-polymer suspensions Chen, Y. -L.; Kobelev, V.; Schweizer, K. S. Physical Review E, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevE.71.041405	journal	April 2005
Ideal vitrification, barrier hopping, and jamming in fluids of modestly anisotropic hard objects Yatsenko, Galina; Schweizer, Kenneth S. Physical Review E, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevE.76.041506	journal	October 2007
Cooperative activated dynamics in dense mixtures of hard and sticky spheres Viehman, Douglas C.; Schweizer, Kenneth S. Physical Review E, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevE.78.051404	journal	November 2008
Theory of coupled translational-rotational glassy dynamics in dense fluids of uniaxial particles Zhang, Rui; Schweizer, Kenneth S. Physical Review E, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevE.80.011502	journal	July 2009
Activated dynamics in dense fluids of attractive nonspherical particles. I. Kinetic crossover, dynamic free energies, and the physical nature of glasses and gels Tripathy, Mukta; Schweizer, Kenneth S. Physical Review E, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevE.83.041406	journal	April 2011
Activated dynamics in dense fluids of attractive nonspherical particles. II. Elasticity, barriers, relaxation, fragility, and self-diffusion Tripathy, Mukta; Schweizer, Kenneth S. Physical Review E, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevE.83.041407	journal	April 2011
Glass Formation and Shear Elasticity in Dense Suspensions of Repulsive Anisotropic Particles Kramb, R. C.; Zhang, R.; Schweizer, K. S. Physical Review Letters, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevLett.105.055702	journal	July 2010
Dynamical Arrest Transition in Nanoparticle Dispersions with Short-Range Interactions Eberle, Aaron P. R.; Wagner, Norman J.; Castañeda-Priego, Ramón Physical Review Letters, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevLett.106.105704	journal	March 2011
Do Interactions Raise or Lower a Percolation Threshold? Bug, A. L. R.; Safran, S. A.; Grest, Gray S. Physical Review Letters, Vol. 55, Issue 18 https://doi.org/10.1103/PhysRevLett.55.1896	journal	October 1985
New, heuristic, percolation criterion for continuum systems Alon, U.; Balberg, I.; Drory, A. Physical Review Letters, Vol. 66, Issue 22 https://doi.org/10.1103/PhysRevLett.66.2879	journal	June 1991
Competition of Percolation and Phase Separation in a Fluid of Adhesive Hard Spheres Miller, Mark A.; Frenkel, Daan Physical Review Letters, Vol. 90, Issue 13 https://doi.org/10.1103/PhysRevLett.90.135702	journal	April 2003
Scaling of Dynamics with the Range of Interaction in Short-Range Attractive Colloids Foffi, G.; Michele, C. De; Sciortino, F. Physical Review Letters, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevLett.94.078301	journal	February 2005
Colloidal Processing of Ceramics Lewis, Jennifer A. Journal of the American Ceramic Society, Vol. 83, Issue 10 https://doi.org/10.1111/j.1151-2916.2000.tb01560.x	journal	October 2000
The Effects of Shape on the Interaction of Colloidal Particles Onsager, Lars Annals of the New York Academy of Sciences, Vol. 51, Issue 4 https://doi.org/10.1111/j.1749-6632.1949.tb27296.x	journal	May 1949
Multiple Glassy States in a Simple Model System Pham, K. N. Science, Vol. 296, Issue 5565 https://doi.org/10.1126/science.1068238	journal	April 2002
Omnidirectional Printing of Flexible, Stretchable, and Spanning Silver Microelectrodes Ahn, B. Y.; Duoss, E. B.; Motala, M. J. Science, Vol. 323, Issue 5921, p. 1590-1593 https://doi.org/10.1126/science.1168375	journal	March 2009
Direct Observation of Dynamical Heterogeneities in Colloidal Hard-Sphere Suspensions Kegel, W. K. Science, Vol. 287, Issue 5451 https://doi.org/10.1126/science.287.5451.290	journal	January 2000

Cited By (4)

Microdynamics and arrest of coarsening during spinodal decomposition in thermoreversible colloidal gels Gao, Yongxiang; Kim, Juntae; Helgeson, Matthew E. Soft Matter, Vol. 11, Issue 32 https://doi.org/10.1039/c5sm00851d	journal	January 2015
Dynamic arrest of adhesive hard rod dispersions Murphy, Ryan P.; Hatch, Harold W.; Mahynski, Nathan A. Soft Matter, Vol. 16, Issue 5 https://doi.org/10.1039/c9sm01877h	journal	January 2020
Monte Carlo simulation of cylinders with short-range attractions Hatch, Harold W.; Mahynski, Nathan A.; Murphy, Ryan P. AIP Advances, Vol. 8, Issue 9 https://doi.org/10.1063/1.5040252	journal	September 2018
Microscopic theory of the influence of strong attractive forces on the activated dynamics of dense glass and gel forming fluids Ghosh, Ashesh; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 151, Issue 24 https://doi.org/10.1063/1.5129941	journal	December 2019

Similar Records

Theory of kinetic arrest, elasticity, and yielding in dense binary mixtures of rods and spheres

Journal Article · Thu Dec 13 19:00:00 EST 2012 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics · OSTI ID:1876438

Programmable Anisotropy and Percolation in Supramolecular Patchy Particle Gels

Journal Article · Mon Dec 07 19:00:00 EST 2020 · ACS Nano · OSTI ID:1777907

Thermoreversible Gels Composed of Colloidal Silica Rods with Short-Range Attractions

Journal Article · Wed Jul 27 20:00:00 EDT 2016 · Langmuir · OSTI ID:1334434

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Chemical bonding
Colloidal systems
Glass transitions
Integral equations
Langevin dynamics
Nanoparticles
Proteins
Quantum fluids
Rheology and fluid dynamics
Thermodynamic functions

Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods

Citation Formats

References (62)

Cited By (4)

Similar Records

Related Subjects