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Martin TB, Gartner TE, Jones RL, Snyder CR, Jayaraman A. pyPRISM: A Computational Tool for Liquid-State Theory Calculations of Macromolecular Materials. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b00011] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Tyler B. Martin
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | | | - Ronald L. Jones
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | - Chad R. Snyder
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
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3
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Non-equilibrium nature of two-dimensional isotropic and nematic coexistence in amyloid fibrils at liquid interfaces. Nat Commun 2013; 4:1917. [DOI: 10.1038/ncomms2911] [Citation(s) in RCA: 107] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2013] [Accepted: 04/18/2013] [Indexed: 02/02/2023] Open
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Bolisetty S, Harnau L, Jung JM, Mezzenga R. Gelation, Phase Behavior, and Dynamics of β-Lactoglobulin Amyloid Fibrils at Varying Concentrations and Ionic Strengths. Biomacromolecules 2012; 13:3241-52. [DOI: 10.1021/bm301005w] [Citation(s) in RCA: 83] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Sreenath Bolisetty
- ETH Zurich, Food
and Soft Materials Laboratory, Department of Health Science
and Technology, Schmelzbergstrasse 9, LFO-E22, CH-8092 Zurich, Switzerland
| | - Ludger Harnau
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstrasse 3,
70569 Stuttgart, Germany, and Institut für Theoretische und
Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57,
70569 Stuttgart, Germany
| | - Jin-mi Jung
- Department of Physics, University of Fribourg, Ch. Musée 3, CH-1700
Fribourg, Switzerland
| | - Raffaele Mezzenga
- ETH Zurich, Food
and Soft Materials Laboratory, Department of Health Science
and Technology, Schmelzbergstrasse 9, LFO-E22, CH-8092 Zurich, Switzerland
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Yatsenko G, Schweizer KS. Glassy dynamics and kinetic vitrification of isotropic suspensions of hard rods. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2008; 24:7474-7484. [PMID: 18547074 DOI: 10.1021/la8002492] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
A nonlinear Langevin equation (NLE) theory for the translational center-of-mass dynamics of hard nonspherical objects has been applied to isotropic fluids of rigid rods. The ideal kinetic glass transition volume fraction is predicted to be a monotonically decreasing function beyond an aspect ratio of two. The functional form of the decrease is weaker than the inverse aspect ratio. Vitrification occurs at lower volume fractions for corrugated tangent bead rods compared to their smooth spherocylinder analogs. The ideal glass transition signals a crossover to activated dynamics, which is estimated to be observable before the nematic phase boundary is encountered if the aspect ratio is less than roughly 25. Calculations of the glassy elastic shear modulus and absolute yield stress reveal a roughly exponential growth with volume fraction. The dependence of entropic barriers and mean barrier hopping times on concentration for rods of variable aspect ratios can be collapsed quite well based on a difference volume fraction variable that quantifies the distance from the ideal glass boundary. Full numerical solution of the NLE theory via stochastic trajectory simulation was performed for tangent bead rods, and the results were compared to their hard sphere analogs. With increasing shape anisotropy the characteristic length scales of the nonequilibrium free energy increase and the magnitude of the localization well and entropic barrier curvatures decreases. These changes result in a significant aspect ratio dependence of dynamical properties and time correlation functions including weaker intermediate time subdiffusive transport, stronger two-step decay of the incoherent dynamic structure factor, longer mean alpha relaxation time, and stronger wavevector-dependent decoupling of relaxation times and the self-diffusion constant. The theoretical results are potentially testable via computer simulation, confocal microscopy, and dynamic light scattering.
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Affiliation(s)
- Galina Yatsenko
- Department of Materials Science and Frederick Seitz Materials Research Laboratory, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801, USA
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Kuntz DM, Walker LM. Nematic phases observed in amphiphilic polyelectrolyte-surfactant aggregate solutions. SOFT MATTER 2008; 4:286-293. [PMID: 32907242 DOI: 10.1039/b714859c] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
A lyotropic phase transition is observed in a water-soluble polyelectrolyte-surfactant aggregate system (polymerized cetyltrimethylammonium 4-vinylbenzoate, or pC16TVB). Unlike other oppositely-charged polyelectrolyte-surfactant aggregates at the stoichiometrically-matched charge point, these aggregates do not precipitate, and instead form isotropic-nematic biphasic solutions in water. The aggregates maintain amphiphilic behavior through the phase transition and appear to maintain the structure observed in dilute solution - that of rod-like aggregates (L/d ∼ 35 with d = 4 nm). Rheology, microscopy and small-angle neutron scattering are used to verify the nature of the phase transition and structure of the mesogen. The phase transition occurs at a concentration higher than that predicted by simple theory; however, flexibility, charge repulsion and polydispersity must be considered in this system.
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Affiliation(s)
- Daniel M Kuntz
- Department of Chemical Engineering, (Center for Complex Fluids Engineering), Carnegie Mellon University, Pittsburgh, PA 15213, USA.
| | - Lynn M Walker
- Department of Chemical Engineering, (Center for Complex Fluids Engineering), Carnegie Mellon University, Pittsburgh, PA 15213, USA.
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Affiliation(s)
- Galen T. Pickett
- College of Natural Sciences and Mathematics, California State University Long Beach, 1250 Bellflower Blvd., Long Beach, California 90840
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Costa * D, Hansen JP, HarNau L. Structure and equation of state of interaction site models for disc-shaped lamellar colloids. Mol Phys 2005. [DOI: 10.1080/0268970500086096] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Oyerokun FT, Schweizer KS. Thermodynamics, Orientational Order and Elasticity of Strained Liquid Crystalline Melts and Elastomers. J Phys Chem B 2005; 109:6595-603. [PMID: 16851740 DOI: 10.1021/jp045646i] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
A microscopic polymer liquid-state theory has been developed for the structure, thermodynamics and mechanical properties of strained liquid crystalline elastomers. The theory captures the experimentally observed phenomenon of spontaneous distortion and establishes a direct correlation between it and the nematic order parameter. Strain induced softening of the elastic modulus is predicted to emerge due to coupling of the induced orientational order and anisotropic interchain excluded volume interactions. Comparison of our results with limited experiments shows good qualitative and sometimes quantitative agreement. The theory predicts that deformation in the liquid crystalline state results in an increase of the amplitude of density fluctuations (compressibility) which becomes more pronounced as chain degree of polymerization and/or segmental density are decreased.
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Affiliation(s)
- Folusho T Oyerokun
- Department of Materials Science and Engineering and Frederick Seitz Materials Research Laboratory, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801, USA
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Donley JP, Heine DR, Wu DT. Range-Optimized Theory of Polyelectrolyte Solutions: Basic Theory and Application to Rod Polymers. Macromolecules 2005. [DOI: 10.1021/ma049264m] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - David R. Heine
- Sandia National Laboratories, Albuquerque, New Mexico 87185
| | - David T. Wu
- Departments of Chemistry and Chemical Engineering, Colorado School of Mines, Golden, Colorado 80401
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Abstract
A microscopic integral equation theory of elasticity in polymer liquids and networks is developed which addresses the nonclassical problem of the consequences of interchain repulsive interactions and packing correlations on mechanical response. The theory predicts strain induced softening, and a nonclassical intermolecular contribution to the linear modulus. The latter is of the same magnitude as the classical single chain entropy contribution at low polymer concentrations, but becomes much more important in the melt state, and dominant as the isotropic-nematic liquid crystal phase transition is approached. Comparison of the calculated stress-strain curve and induced nematic order parameter with computer simulations show good agreement. A nearly quadratic dependence of the linear elastic modulus on segmental concentration is found, as well as a novel fractional power law dependence on degree of polymerization. Quantitative comparison of the theory with experiments on polydimethylsiloxane networks are presented and good agreement is found. However, a nonzero modulus in the long chain limit is not predicted since quenched chemical crosslinks and trapped entanglements are not explicitly taken into account. The theory is generalizable to treat the structure, thermodynamics and mechanical response of nematic elastomers.
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Affiliation(s)
- Folusho T Oyerokun
- Department of Materials Science & Engineering, Frederick Seitz Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, USA
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Oyerokun FT, Schweizer KS. Microscopic theory of orientational order, structure and thermodynamics in strained polymer liquids and networks. J Chem Phys 2004; 120:475-85. [PMID: 15267309 DOI: 10.1063/1.1629677] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A microscopic integral equation theory of the segmental orientational order parameter, structural correlations and thermodynamics of strained polymer solutions, melts and networks has been developed. The nonclassical problem of the consequences of intermolecular excluded volume repulsions and chain connectivity is addressed. The theory makes several novel predictions, including effective power law dependences of the orientational order parameter on monomer concentration and chain degree of polymerization, and strain hardening of the bulk modulus. The predictions of a nearly classical strain dependence, and supralinear scaling with segment concentration, of the strain-induced nematic order parameter is in agreement with nuclear magnetic resonance experiments. The absolute magnitudes of the a priori calculated orientational order parameter agree with simulations and experiments to within a factor of 2. The possible complicating influence of "trapped entanglements" in crosslinked networks is discussed. Extensions of the theory are possible to treat the mechanical response of flexible polymer liquids and rubbers, and the structure, thermodynamics, and mechanical properties of strained liquid crystal forming polymers.
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Affiliation(s)
- Folusho T Oyerokun
- Department of Materials Science and Engineering and Frederick Seitz Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, USA
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Bower AF, Weiner JH. The central role of excluded volume in the production of anisotropic stress in deformed polymer melts. J Chem Phys 2003. [DOI: 10.1063/1.1574778] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Chen YL, Schweizer KS. Depletion interactions in suspensions of spheres and rod–polymers. J Chem Phys 2002. [DOI: 10.1063/1.1485071] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ghosh K, Carri GA, Muthukumar M. Phase transitions in solutions of semiflexible polyelectrolytes. J Chem Phys 2002. [DOI: 10.1063/1.1446845] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Kindt JT, Gelbart WM. Chain self-assembly and phase transitions in semiflexible polymer systems. J Chem Phys 2001. [DOI: 10.1063/1.1332810] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pickett GT, Schweizer KS. Structure and thermodynamics of anisotropic polymer fluids. J Chem Phys 2000. [DOI: 10.1063/1.481088] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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