Lubensky, Tom C
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Publication Electrostatic Repulsion of Positively Charged Vesicles and Negatively Charged Objects(1999-07-16) Aranda-Espinoza, Helim; Chen, Yi; Lubensky, Thomas C.; Dan, Nily; Nelson, Philip; Ramos, Laurence; Weitz, David AA positively charged, mixed bilayer vesicle in the presence of negatively charged surfaces (for example, colloidal particles) can spontaneously partition into an adhesion zone of definite area, and another zone that repels additional negative objects. Although the membrane itself has nonnegative charge in the repulsive zone, negative counterions on the interior of the vesicle spontaneously aggregate there, and present a net negative charge to the exterior. Beyond the fundamental result that oppositely charged objects can repel, our mechanism helps explain recent experiments on surfactant vesicles.Publication Elongation and Fluctuations of Semi-flexible Polymers in a Nematic Solvent(2004-03-26) Dogic, Z.; Zhang, J.; Discher, Dennis E; Lau, A. W.C.; Janmey, Paul; Aranda-Espinoza, Helim; Kamien, Randall; Dalhaimer, Paul M; Lubensky, Thomas C.; Yodh, ArjunWe directly visualize single polymers with persistence lengths ranging from lp = 0:05 to 16 µm, dissolved in the nematic phase of rod-like fd virus. Polymers with sufficiently large persistence length undergo a coil-rod transition at the isotropic-nematic transition of the background solvent. We quantitatively analyze the transverse fluctuations of semi-flexible polymers and show that at long wavelengths they are driven by the fluctuating nematic background. We extract both the Odijk deflection length and the elastic constant of the background nematic phase from the data.Publication Centrifugal Compression of Soft Particle Packings: Theory and Experiment(2010-01-01) Nordstrom, Kerstin N; Verneuil, Emilie; Lubensky, Tom C; Durian, Douglas J; Ellenbroek, Wouter G; Gollub, Jerry PAn exact method is developed for computing the height of an elastic medium subjected to centrifugal compression, for arbitrary constitutive relation between stress and strain. Example solutions are obtained for power-law media and for cases where the stress diverges at a critical strain—for example as required by packings composed of deformable but incompressible particles. Experimental data are presented for the centrifugal compression of thermo-responsive N-isopropylacrylamide (NIPA) microgel beads in water. For small radial acceleration, the results are consistent with Hertzian elasticity, and are analyzed in terms of the Young elastic modulus of the bead material. For large radial acceleration, the sample compression asymptotes to a value corresponding to a space-filling particle volume fraction of unity. Therefore we conclude that the gel beads are incompressible, and deform without deswelling. In addition, we find that the Young elastic modulus of the particulate gel material scales with cross-link density raised to the power 3.3±0.8, somewhat larger than the Flory expectation.Publication Molecular Chirality and Chiral Parameter(1999-10-01) Harris, A. Brooks; Kamien, Randal D; Lubensky, Thomas CThe fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. The authors show that any chiral measure of a geometric object is a pseudoscalar (invariant under proper rotations but changing sign under improper rotations) and must involve three-point correlations that only come into play when the molecule has at least four atoms. In general, a molecule is characterized by an infinite set of chiral parameters. The authors illustrate the fact that these parameters can have differing signs and can vanish at different points as a molecule is continuously deformed into its mirror image. From this it is concluded that handedness is not an absolute concept but depends on the property being observed. Within a simplified model of classical interactions, the chiral parameter of the constituent molecules that determines the macroscopic pitch of cholesterics is identified.Publication Internal Stresses, Normal Modes, and Nonaffinity in Three-Dimensional Biopolymer Networks(2011-02-25) Huisman, E. M.; Lubensky, Thomas CWe numerically investigate deformations and modes of networks of semiflexible biopolymers as a function of crosslink coordination number z and strength of bending and stretching energies. In equilibrium filaments are under internal stress, and the networks exhibit shear rigidity below the Maxwell isostatic point. In contrast to two-dimensional networks, ours exhibit nonaffine bending-dominated response in all rigid states, including those near the maximum of z = 4 when bending energies are less than stretching ones.Publication Microrheology, Stress Fluctuations, and Active Behavior of Living Cells(2003-11-03) Lau, A. W. C.; Hoffman, Brenton D; Crocker, John C; Davies, A.; Lubensky, Thomas C.We report the first measurements of the intrinsic strain fluctuations of living cells using a recently developed tracer correlation technique along with a theoretical framework for interpreting such data in heterogeneous media with nonthermal driving. The fluctuations’ spatial and temporal correlations indicate that the cytoskeleton can be treated as a course-grained continuum with power-law rheology, driven by a spatially random stress tensor field. Combined with recent cell rheology results, our data imply that intracellular stress fluctuations have a nearly 1/ω2 power spectrum, as expected for a continuum with a slowly evolving internal prestress.Publication Fluctuating Hydrodynamics and Microrheology of a Dilute Suspension of Swimming Bacteria(2009-07-22) Lau, A W.C.; Lubensky, Thomas C.A bacterial bath is a model active system consisting of a population of rodlike motile or self-propelled bacteria suspended in a fluid environment. This system can be viewed as an active, nonequilibrium version of a lyotropic liquid crystal or as a generalization of a driven diffusive system. We derive a set of phenomenological equations, which include the effects of internal force generators in the bacteria, describing the hydrodynamic flow, orientational dynamics of the bacteria, and fluctuations induced by both thermal and nonthermal noises. These equations violate the fluctuation dissipation theorem and the Onsager reciprocity relations. We use them to provide a quantitative account of results from recent microrheological experiments on bacterial baths.Publication Fluctuations and Rheology in Active Bacterial Suspensions(2007-10-03) Chen, Daniel T.N.; Lau, Andy C.W.; Hough, Lawrence A.; Goulian, Mark; Islam, Mohammad F.; Lubensky, Thomas C; Yodh, Arjun GWe probe nonequilibrium properties of an active bacterial bath through measurements of correlations of passive tracer particles and the response function of a driven, optically trapped tracer. These measurements demonstrate violation of the fluctuation-dissipation theorem and enable us to extract the power spectrum of the active stress fluctuations. In some cases, we observe 1/√w scaling in the noise spectrum which we show can be derived from a theoretical model incorporating coupled stress, orientation, and concentration fluctuations of the bacteria.Publication Chirality in Liquid Crystals: From Microscopic Origins to Macroscopic Structure(1998) Lubensky, Tom C; Harris, A. Brooks; Kamien, Randall D; Yan, GuMolecular chirality leads to a wonderful variety of equilibrium structures, from the simple cholesteric phase to the twist-grain-boundary phases, and it is responsible for interesting and technologically important materials like ferroelectric liquid crystals. This paper will review some recent advances in our understanding of the connection between the chiral geometry of individual molecules and the important phenomenological parameters that determine macroscopic chiral structure. It will then consider chiral structure in columnar systems and propose a new equilibrium phase consisting of a regular lattice of twisted ropes.Publication Dynamics of Gas-Fluidized Granular Rods(2009-04-01) Daniels, L. J.; Lubensky, Thomas C.; Park, Y.; Durian, Douglas J.We study a quasi-two-dimensional monolayer of granular rods fluidized by a spatially and temporally homogeneous upflow of air. By tracking the position and orientation of the particles, we characterize the dynamics of the system with sufficient resolution to observe ballistic motion at the shortest time scales. Particle anisotropy gives rise to dynamical anisotropy and superdiffusive dynamics parallel to the rod’s long axis, causing the parallel and perpendicular mean-square displacements to become diffusive on different time scales. The distributions of free times and free paths between collisions deviate from exponential behavior, underscoring the nonthermal character of the particle motion. The dynamics show evidence of rotationaltranslational coupling similar to that of an anisotropic Brownian particle. We model rotational-translational coupling in the single-particle dynamics with a modified Langevin model using nonthermal noise sources. This suggests a phenomenological approach to thinking about collections of self-propelling particles in terms of enhanced memory effects.