Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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

Abstract

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 resultsmore » appear to be qualitatively consistent with recent experiments on polymer-colloid depletion systems and brush mediated attractive nanoparticle suspensions.« less

Authors:
 [1];  [1]
+ Show Author Affiliations
  1. Univ. of Illinois, Urbana, IL (United States)
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1876029
Grant/Contract Number:  
FG02-07ER46471
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 135; Journal Issue: 23; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Glass transitions; Thermodynamic functions; Quantum fluids; Integral equations; Colloidal systems; Langevin dynamics; Chemical bonding; Proteins; Nanoparticles; Rheology and fluid dynamics

Citation Formats

Jadrich, Ryan, and Schweizer, Kenneth S. Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods. United States: N. p., 2011. Web. doi:10.1063/1.3669649.
Copy to clipboard
Jadrich, Ryan, & Schweizer, Kenneth S. Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods. United States. https://doi.org/10.1063/1.3669649
Copy to clipboard
Jadrich, Ryan, and Schweizer, Kenneth S. Wed . "Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods". United States. https://doi.org/10.1063/1.3669649. https://www.osti.gov/servlets/purl/1876029.
Copy to clipboard
@article{osti_1876029,
title = {Percolation, phase separation, and gelation in fluids and mixtures of spheres and rods},
author = {Jadrich, Ryan and Schweizer, Kenneth S.},
abstractNote = {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.},
doi = {10.1063/1.3669649},
journal = {Journal of Chemical Physics},
number = 23,
volume = 135,
place = {United States},
year = {Wed Dec 21 00:00:00 EST 2011},
month = {Wed Dec 21 00:00:00 EST 2011}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/1.3669649
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

New, heuristic, percolation criterion for continuum systems
journal, June 1991

Nonergodicity transitions in colloidal suspensions with attractive interactions
journal, May 1999

Viscoelasticity and rheology of depletion flocculated gels and fluids
journal, October 2003

  • Shah, S. A.; Chen, Y. -L; Schweizer, K. S.
  • The Journal of Chemical Physics, Vol. 119, Issue 16
  • DOI: 10.1063/1.1598192

Cooperative activated dynamics in dense mixtures of hard and sticky spheres
journal, November 2008

Microstructural regimes of colloidal rod suspensions, gels, and glasses
journal, January 2010

  • Solomon, Michael J.; Spicer, Patrick T.
  • Soft Matter, Vol. 6, Issue 7
  • DOI: 10.1039/b918281k

Phase behavior of short-range square-well model
journal, May 2005

  • Pagan, D. L.; Gunton, J. D.
  • The Journal of Chemical Physics, Vol. 122, Issue 18
  • DOI: 10.1063/1.1890925

Dynamical fluctuation effects in glassy colloidal suspensions
journal, December 2007

An interaction site approach to clustering and percolation phenomena in systems of nonspherical particles
journal, September 1988

  • Lupkowski, M.; Monson, P. A.
  • The Journal of Chemical Physics, Vol. 89, Issue 5
  • DOI: 10.1063/1.454936

Connections between some kinetic and equilibrium theories of the glass transition
journal, April 1987

Extended corresponding-states behavior for particles with variable range attractions
journal, August 2000

  • Noro, Massimo G.; Frenkel, Daan
  • The Journal of Chemical Physics, Vol. 113, Issue 8
  • DOI: 10.1063/1.1288684

Omnidirectional Printing of Flexible, Stretchable, and Spanning Silver Microelectrodes
journal, March 2009

Microstructure of dense colloid–polymer suspensions and gels
journal, June 2003

Multiple Glassy States in a Simple Model System
journal, April 2002

Distribution of physical clusters
journal, February 1977

  • Coniglio, A.; Angelis, U. De; Forlani, A.
  • Journal of Physics A: Mathematical and General, Vol. 10, Issue 2
  • DOI: 10.1088/0305-4470/10/2/011

Colloidal Processing of Ceramics
journal, October 2000

Glassy Dynamics and Kinetic Vitrification of Isotropic Suspensions of Hard Rods
journal, July 2008

  • Yatsenko, Galina; Schweizer, Kenneth S.
  • Langmuir, Vol. 24, Issue 14
  • DOI: 10.1021/la8002492

Clustering and Mechanics in Dense Depletion and Thermal Gels †
journal, October 2005

  • Ramakrishnan, S.; Gopalakrishnan, V.; Zukoski, C. F.
  • Langmuir, Vol. 21, Issue 22
  • DOI: 10.1021/la050830w

Theory of percolation in fluids of long molecules
journal, June 1991

  • Leung, Kevin; Chandler, David
  • Journal of Statistical Physics, Vol. 63, Issue 5-6
  • DOI: 10.1007/BF01029986

Continuum percolation in athermal mixtures of flexible and rigid macromolecules
journal, January 2002

  • Wang, Xiaoling; Chatterjee, Avik P.
  • The Journal of Chemical Physics, Vol. 116, Issue 1
  • DOI: 10.1063/1.1423619

Dynamic free energies, cage escape trajectories, and glassy relaxation in dense fluids of uniaxial hard particles
journal, September 2010

  • Zhang, Rui; Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 133, Issue 10
  • DOI: 10.1063/1.3483601

Do Interactions Raise or Lower a Percolation Threshold?
journal, October 1985

Microfabrication: Conformal Printing of Electrically Small Antennas on Three-Dimensional Surfaces (Adv. Mater. 11/2011)
journal, March 2011

  • Adams, Jacob J.; Duoss, Eric B.; Malkowski, Thomas F.
  • Advanced Materials, Vol. 23, Issue 11
  • DOI: 10.1002/adma.201190032

Connectedness-in-probability and continuum percolation of adhesive hard spheres: Integral equation theory
journal, June 1999

  • Chiew, Y. C.
  • The Journal of Chemical Physics, Vol. 110, Issue 21
  • DOI: 10.1063/1.478977

Gelation in Model Colloid−Polymer Mixtures
journal, May 2003

  • Bergenholtz, J.; Poon, W. C. K.; Fuchs, M.
  • Langmuir, Vol. 19, Issue 10
  • DOI: 10.1021/la0340089

Optimized Cluster Expansions for Classical Fluids. II. Theory of Molecular Liquids
journal, September 1972

  • Chandler, David; Andersen, Hans C.
  • The Journal of Chemical Physics, Vol. 57, Issue 5
  • DOI: 10.1063/1.1678513

Atomistic Modeling of Physical Properties
book, January 1994

Gelation of particles with short-range attraction
journal, May 2008

  • Lu, Peter J.; Zaccarelli, Emanuela; Ciulla, Fabio
  • Nature, Vol. 453, Issue 7194
  • DOI: 10.1038/nature06931

Subdiffusion and the cage effect studied near the colloidal glass transition
journal, November 2002

Thermodynamics of High Polymer Solutions
journal, January 1942

  • Flory, Paul J.
  • The Journal of Chemical Physics, Vol. 10, Issue 1
  • DOI: 10.1063/1.1723621

Relaxation processes in supercooled liquids
journal, March 1992

Phase diagram of the adhesive hard sphere fluid
journal, January 2004

  • Miller, Mark A.; Frenkel, Daan
  • The Journal of Chemical Physics, Vol. 121, Issue 1
  • DOI: 10.1063/1.1758693

Ideal glass transitions, shear modulus, activated dynamics, and yielding in fluids of nonspherical objects
journal, January 2007

  • Yatsenko, Galina; Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 126, Issue 1
  • DOI: 10.1063/1.2405354

One liquid, two glasses
journal, November 2002

  • Sciortino, Francesco
  • Nature Materials, Vol. 1, Issue 3
  • DOI: 10.1038/nmat752

Theory of gelation, vitrification, and activated barrier hopping in mixtures of hard and sticky spheres
journal, February 2008

  • Viehman, Douglas C.; Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 128, Issue 8
  • DOI: 10.1063/1.2837295

Pair connectedness and cluster size
journal, July 1977

  • Coniglio, A.; Angelis, U. De; Forlani, A.
  • Journal of Physics A: Mathematical and General, Vol. 10, Issue 7
  • DOI: 10.1088/0305-4470/10/7/011

Theory of coupled translational-rotational glassy dynamics in dense fluids of uniaxial particles
journal, July 2009

The Effects of Shape on the Interaction of Colloidal Particles
journal, May 1949

Elasticity and clustering in concentrated depletion gels
journal, October 2004

Percolation behaviour of permeable and of adhesive spheres
journal, August 1983

The glass paradigm for colloidal glasses, gels, and other arrested states driven by attractive interactions
journal, August 2002

Transport coefficients in glassy colloidal fluids
journal, July 2003

  • Saltzman, Erica J.; Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 119, Issue 2
  • DOI: 10.1063/1.1578633

Ideal glass-glass transitions and logarithmic decay of correlations in a simple system
journal, February 1999

Ideal vitrification, barrier hopping, and jamming in fluids of modestly anisotropic hard objects
journal, October 2007

Microscopic theory of gelation and elasticity in polymer–particle suspensions
journal, April 2004

  • Chen, Yeng-Long; Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 120, Issue 15
  • DOI: 10.1063/1.1683077

Barrier hopping, viscous flow, and kinetic gelation in particle-polymer suspensions
journal, April 2005

Connectedness percolation in polydisperse rod systems: A modified Bethe lattice approach
journal, June 2010

  • Chatterjee, Avik P.
  • The Journal of Chemical Physics, Vol. 132, Issue 22
  • DOI: 10.1063/1.3436716

Competition of Percolation and Phase Separation in a Fluid of Adhesive Hard Spheres
journal, April 2003

A theory of percolation in liquids
journal, July 1986

  • DeSimone, Tony; Demoulini, Sophia; Stratt, Richard M.
  • The Journal of Chemical Physics, Vol. 85, Issue 1
  • DOI: 10.1063/1.451615

Glass Formation and Shear Elasticity in Dense Suspensions of Repulsive Anisotropic Particles
journal, July 2010

Colloidal gelation and non-ergodicity transitions
journal, July 2000

Connectedness percolation in fluids of persistent chains
journal, December 2002

  • Chatterjee, Avik P.
  • The Journal of Chemical Physics, Vol. 117, Issue 23
  • DOI: 10.1063/1.1521718

Derivation of a microscopic theory of barriers and activated hopping transport in glassy liquids and suspensions
journal, December 2005

  • Schweizer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 123, Issue 24
  • DOI: 10.1063/1.2137701

Colloidal gels: equilibrium and non-equilibrium routes
journal, July 2007

Gel transitions in colloidal suspensions
journal, December 1999

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Monte Carlo simulation of cylinders with short-range attractions
    journal, September 2018

    • Hatch, Harold W.; Mahynski, Nathan A.; Murphy, Ryan P.
    • AIP Advances, Vol. 8, Issue 9
    • DOI: 10.1063/1.5040252

    Dynamic arrest of adhesive hard rod dispersions
    journal, January 2020

    • Murphy, Ryan P.; Hatch, Harold W.; Mahynski, Nathan A.
    • Soft Matter, Vol. 16, Issue 5
    • DOI: 10.1039/c9sm01877h

    Microscopic theory of the influence of strong attractive forces on the activated dynamics of dense glass and gel forming fluids
    journal, December 2019

    • Ghosh, Ashesh; Schweizer, Kenneth S.
    • The Journal of Chemical Physics, Vol. 151, Issue 24
    • DOI: 10.1063/1.5129941

    Microdynamics and arrest of coarsening during spinodal decomposition in thermoreversible colloidal gels
    journal, January 2015

    • Gao, Yongxiang; Kim, Juntae; Helgeson, Matthew E.
    • Soft Matter, Vol. 11, Issue 32
    • DOI: 10.1039/c5sm00851d
      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: