TITLE

Viscoelasticity of lyotropic smectics

AUTHOR(S)
Lu, C.-Y. D.; Cates, M. E.
PUB. DATE
September 1994
SOURCE
Journal of Chemical Physics;9/15/1994, Vol. 101 Issue 6, p5219
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study theoretically the contribution of thermal fluctuations to the linear rheological spectrum of lyotropic smectic A phases at low frequencies. The fluctuations are treated at the Gaussian level; their hydrodynamics is controlled by the undulation/baroclinic mode. In the layer-over-layer sliding geometry, we find an anomalous elasticity varying as |ω|; the corresponding viscous drag is enhanced logarithmically. For other shear geometries we find contributions to the dissipation and elasticity that are in practice small (though formally divergent when the layer spacing is taken to zero). The connection between these results and those given previously for thermotropic smectics, and for block copolymers, is discussed. We outline the possible experimental significance of our findings for the rheology of both aligned and polydomain smectics.
ACCESSION #
7650260

 

Related Articles

  • Fluctuations effects in diblock copolymer fluids: Comparison of theories and experiment. Guenza, Marina; Schweizer, Kenneth S. // Journal of Chemical Physics;5/1/1997, Vol. 106 Issue 17, p7391 

    Reports on fluctuation effects in diblock copolymer fluids. Analytic Polymer Reference Interaction Site Model (PRISM) theory of structurally and interaction symmetric Gaussian diblock copolymer fluids; Estimated location of the order-disorder transition; Numerical applications of PRISM theory.

  • Short-range fluctuations in the Hartree theory of diblock copolymer melts. Kudlay, Alexander; Stepanow, Semjon // Journal of Chemical Physics;3/1/2003, Vol. 118 Issue 9, p4272 

    We attempt to develop a fluctuation theory of diblock copolymer melts, which would include short-range fluctuations. The one-loop correction has been found to have an ultraviolet divergence, which is shown to be architecture-dependent. The correlation function S(q) is obtained within the Hartree...

  • Theoretical study of polymeric mixtures with different sequence statistics. II. Brazovskii class: Linear random copolymers with diblock copolymers. Qi, Shuyan; Shuyan Qi; Chakraborty, Arup K. // Journal of Chemical Physics;1/15/2000, Vol. 112 Issue 3 

    We use a Landau theory to study the instability of the homogeneous state of a mixture of linear random copolymers and diblock copolymers. Interesting features of the calculated structure factors for different components of the mixture are found, which can be directly compared with scattering...

  • Collective and single-chain correlations near the block copolymer order–disorder transition. Barrat, Jean-Louis; Fredrickson, Glenn H. // Journal of Chemical Physics;7/15/1991, Vol. 95 Issue 2, p1281 

    The concentration pair correlation function and the order–disorder transition in a diblock copolymer melt are studied in the framework of a self-consistent one-loop approximation. In contrast with earlier work, no simplifying assumption on the wave vector dependence of the correlation...

  • Effect of the vessel size on the hydrodynamic diffusion of sedimenting spheres. Nicolai, Helene; Guazzelli, Elisabeth // Physics of Fluids;Jan1995, Vol. 7 Issue 1, p3 

    Demonstrates that particle velocity fluctuations and hydrodynamic self-diffusivities of sedimenting non-Brownian spheres do not vary as the inner width of the vessel varies by factor. Long-range multibody hydrodynamic interactions; Particle velocity variance; Characteristic length of the...

  • The Distribution Function for a Subsystem Experiencing Temperature Fluctuations. Bashkirov, A. G.; Sukhanov, A. D. // Journal of Experimental & Theoretical Physics;Sep2002, Vol. 95 Issue 3, p440 

    A nonlinear generalization of the Landau-Lifshitz theory of hydrodynamic fluctuations for the simplest case in which only energy flux and temperature fluctuations are observed is used to derive the distribution function for a subsystem with a fluctuating temperature, which coincides with the...

  • Smoluchowski fluctuation theory of ion transport in solutions. Kim, Hyung J.; Friedman, Harold L. // Journal of Chemical Physics;9/1/1988, Vol. 89 Issue 5, p3222 

    We developed a Smoluchowski-level theory of time-dependent ion concentration fluctuations at equilibrium, including higher-order correlations, but with hydrodynamic interactions suppressed. A partial sum over the higher-order correlations, a chain sum, eliminates divergences. From the resulting...

  • Hydrodynamic fluctuations in a chemically reacting fluid. de la Selva, S. M. T.; García-Colín, L. S. // Journal of Chemical Physics;8/15/1986, Vol. 85 Issue 4, p2140 

    It is shown that the calculation of the nonlocal in time second moments of hydrodynamic fluctuations in a chemically reacting fluid can be done within the framework of extended irreversible thermodynamics. The results obtained imply that a non-Gaussian noise is associated with the fluctuations...

  • Dynamics of concentration fluctuations in multicomponent polymer systems. Effect of hydrodynamic interactions. Vilgis, T. A.; Benmouna, M. // Journal of Chemical Physics;7/15/1991, Vol. 95 Issue 2, p1276 

    This paper discusses the effect of hydrodynamic interactions in multicomponent polymer systems. We show that the mobility matrix now has off diagonal elements when compared to the case where hydrodynamics is neglected. The wave vector dependence comes from the Oseen tensor which is convoluted...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics