Soft modes and elasticity of nearly isostatic lattices: randomness and dissipation (2009)
Mao, Xiaoming, Xu, Ning, Lubensky, T. C.
The square lattice with central-force springs on nearest-neighbor bonds is isostatic. It has a zero mode for each row and column, and it does not support shear. Using the Coherent Potential...
Elasticity and Response in Nearly Isostatic Periodic Lattices (2009)
Souslov, Anton, Liu, Andrea J., Lubensky, T. C.
The square and kagome lattices with nearest neighbor springs of spring constant $k$ are isostatic with a number of zero-frequency modes that scale with their perimeter. We study the approach to this...
Geometric frustration in buckled colloidal monolayers (2008)
Han, Yilong, Shokef, Yair, Alsayed, Ahmed M., Yunker, Peter, Lubensky, T. C., Yodh, Arjun G.
Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter...
Geometric frustration in buckled colloidal monolayers (2008)
Han, Yilong, Shokef, Yair, Alsayed, Ahmed M., Yunker, Peter, Lubensky, T. C., Yodh, Arjun G.
Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter...
Dynamics of Gas-Fluidized Granular Rods (2008)
Daniels, L. J., Park, Y., Lubensky, T. C., Durian, D. 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...
Terahertz Magnetic Response from Artificial Materials (2008)
R Esearch, A Rticle, C. Dasgupta, B. I. Halperin, Phys Rev Lett, Q. Si, ...
18. Scaling analyses, generalizations, and physical consequences appear in the supporting material on Science
Smectic-$A$ elastomers with weak director anchoring (2008)
Adams, J. M., Warner, M., Stenull, O., Lubensky, T. C.
Experimentally it is possible to manipulate the director in a (chiral) smectic-$A$ elastomer using an electric field. This suggests that the director is not necessarily locked to the layer normal, as...
Smectic-C tilt under shear in Smectic-A elastomers (2008)
Stenull, Olaf, Lubensky, T. C., Adams, J. M., Warner, Mark
Stenull and Lubensky [Phys. Rev. E {\bf 76}, 011706 (2007)] have argued that shear strain and tilt of the director relative to the layer normal are coupled in smectic elastomers and that the...
Particle-Stabilized Defect Gel in Cholesteric Liquid Crystals (2008)
Martin Zapotocky, Laurence Ramos, T. C. Lubensky, D. A. Weitz
Dispersions of colloidal particles in cholesteric liquid crystals form an unusual solid by stabilizing a network of linear defects under tension in the ideal layered structure of the cholesteric. The...
Positively Charged Vesicles and Negatively Charged Objects (2008)
V. Balzani, M. Gomez-lopez, J. F. Stoddart, A. Credi, V. Balzani, S. J. Langford, ...
Å 2 /molecule for R(2). Previous work on LB films of
TGB Phases: Abrikosov Vortex Lattices in Liquid Crystals (2007)
Analogy is one of the most powerful tools a physicist has to arrive at an understanding of the mysteries of nature. It allows us to make predictions about the properties of new systems from what we...
Particle-Stabilized Defect Gel in Cholesteric Liquid Crystals (2007)
Martin Zapotocky, Laurence Ramos, T. C. Lubensky, D. A. Weitz
Dispersions of colloidal particles in cholesteric liquid crystals form an unusual solid by stabilizing a network of linear defects under tension in the ideal layered structure of the cholesteric. The...
Rheology of defect networks in cholesteric liquid crystals (2007)
Laurence Ramos, Martin Zapotocky Y, T. C. Lubensky, D. A. Weitz
The rheological properties of cholesteric liquid crystals containing networks of defects are investigated. A network of linear defects of the \oily-streak " type is stabilized when colloidal...
Europhys. Lett., 58 (5), pp. 679--685 (2002) (2007)
Europhysics Letters June, P. Mach, P. Wiltzius, M. Megens, D. A. Weitz, Keng-hui Lin, ...
We have incorporated nematic liquid crystal into periodic, polymer host structures templated from self-assembled colloids. Using these composite materials, we demonstrate the first electrically...
Fluctuations and Rheology in Active Bacterial Suspensions (2007)
Chen, D. T. N., Lau, A. W. C., Hough, L. A., Islam, M. F., Goulian, M., Lubensky, T. C., ...
We probe non-equilibrium 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...
State-dependent diffusion: thermodynamic consistency and its path integral formulation (2007)
Lau, A. W. C., Lubensky, T. C.
The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients...
Unconventional elasticity in smectic-A elastomers (2007)
Stenull, Olaf, Lubensky, T. C.
We study two aspects of the elasticity of smectic-$A$ elastomers that make these materials genuinely and qualitatively different from conventional uniaxial rubbers. Under strain applied parallel to...
Semi-soft Nematic Elastomers and Nematics in Crossed Electric and Magnetic Fields (2007)
Ye, Fangfu, Mukhopadhyay, Ranjan, Stenull, Olaf, Lubensky, T. C.
Nematic elastomers with a locked-in anisotropy direction exhibit semi-soft elastic response characterized by a plateau in the stress-strain curve in which stress does not change with strain. We...
Dynamics of smectic elastomers (2006)
Stenull, Olaf, Lubensky, T. C.
We study the low-frequency, long-wavelength dynamics of liquid crystal elastomers, crosslinked in the smectic-$A$ phase, in their smectic-$A$, biaxial smectic and smectic-$C$ phases. Two different...
Soft elasticity in biaxial smectic and smectic-C elastomers (2006)
Stenull, Olaf, Lubensky, T. C.
Ideal (monodomain) smectic-$A$ elastomers crosslinked in the smectic-$A$ phase are simply uniaxial rubbers, provided deformations are small. From these materials smectic-$C$ elastomers are produced...
Dynamics, dynamic soft elasticity and rheology of smectic-C elastomers (2006)
Stenull, Olaf, Lubensky, T. C.
We present a theory for the low-frequency, long-wavelength dynamics of soft smectic-C elastomers with locked-in smectic layers. Our theory, which goes beyond pure hydrodynamics, predicts a dynamic...
Nematic liquid crystals are well modeled as a fluid of rigid rods. Starting from this model, we use a Poisson-bracket formalism to derive the equations governing the dynamics of nematic liquid...
Nonaffine Correlations in Random Elastic Media (2005)
DiDonna, B. A., Lubensky, T. C.
Materials characterized by spatially homogeneous elastic moduli undergo affine distortions when subjected to external stress at their boundaries, i.e., their displacements $\uv (\xv)$ from a uniform...
Phase transitions and soft elasticity of smectic elastomers (2004)
Stenull, Olaf, Lubensky, T. C.
Smectic-C elastomers can be prepared by crosslinking, e.g., liquid crystal polymers, in the smectic-A phase followed by a cooling through the smectic-A to smectic-C phase transition. This transition...
Stenull, Olaf, Lubensky, T. C.
We discuss the rheology experiments on nematic elastomers by Martinoty et al. in the light of theoretical models for the long-wavelength low-frequency dynamics of these materials. We review these...
Elongation and fluctuations of semi-flexible polymers in a nematic solvent (2004)
Dogic, Z., Zhang, J., Lau, A. W. C., Aranda-Espinoza, H., Dalhaimer, P., Discher, D. E., ...
We directly visualize single polymers with persistence lengths ranging from $\ell_p=0.05$ to 16 $\mu$m, dissolved in the nematic phase of rod-like {\it fd} virus. Polymers with sufficiently large...
Dynamics of nematic elastomers (2003)
Stenull, Olaf, Lubensky, T. C.
We study the low-frequency, long-wavelength dynamics of soft and semi-soft nematic elastomers using two different but related dynamic theories. Our first formulation describes the pure hydrodynamic...
Microrheology, stress fluctuations and active behavior of living cells (2003)
Lau, A. W. C., Hoffman, B. D., Davies, A., Crocker, J. C., Lubensky, T. 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...
Anomalous elasticity of nematic and critically soft elastomers (2003)
Stenull, Olaf, Lubensky, T. C.
Uniaxial elastomers are characterized by five elastic constants. If their elastic modulus C_5 describing the energy of shear strains in planes containing the anisotropy axis vanishes, they are said...
The Structure of TGB$_C$ Phases (2003)
Kundagrami, Arindam, Lubensky, T. C.
We study the transition from the cholesteric phase to two TGB$_C$ phases near the upper critical twist $k_{c2}$: the Renn-Lubensky TGB$_C$ phase, with layer normal rotating in a plane perpendicular...
Fluctuating Nematic Elastomer Membranes: a New Universality Class (2003)
Xing, Xiangjun, Mukhopadhyay, Ranjan, Lubensky, T. C., Radzihovsky, Leo
We study the flat phase of nematic elastomer membranes with rotational symmetry spontaneously broken by in-plane nematic order. Such state is characterized by a vanishing elastic modulus for simple...
Anomalous elasticity of nematic elastomers (2002)
Stenull, Olaf, Lubensky, T. C.
We study the anomalous elasticity of nematic elastomers by employing the powers of renormalized field theory. Using general arguments of symmetry and relevance, we introduce a minimal...
Phase Transitions in Lyotropic Nematic Gels (2002)
Lacoste, D., Lau, A. W. C., Lubensky, T. C.
In this paper, we discuss the equilibrium phases and collapse transitions of a lyotropic nematic gel immersed in an isotropic solvent. A nematic gel consists of a cross-linked polymer network with...
Symmetries and Elasticity of Nematic Gels (2001)
Lubensky, T. C., Mukhopadhyay, Ranjan, Radzihovsky, Leo, Xing, Xiangjun
A nematic liquid-crystal gel is a macroscopically homogeneous elastic medium with the rotational symmetry of a nematic liquid crystal. In this paper, we develop a general approach to the study of...
The Fractional Quantum Hall effect in an array of quantum wires (2001)
Kane, C. L., Mukhopadhyay, Ranjan, Lubensky, T. C.
We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can...
Lacoste, D., Collings, P. J., Lubensky, T. C.
This paper concerns optical properties of the isotropic phase above the isotropic-cholesteric transition and of the blue phase BP III. We introduce an effective index, which describes spatial...
Two-point microrheology and the electrostatic analogy (2001)
Levine, Alex J., Lubensky, T. C.
The recent experiments of Crocker et al. suggest that microrheological measurements obtained from the correlated fluctuations of widely-separatedprobe particles determine the rheological properties...
Phase transitions in a ferrofluid at magnetic field induced microphase separation (2001)
In the presence of a magnetic field applied perpendicular to a thin sample layer, a suspension of magnetic colloidal particles (ferrofluid) can form spatially modulated phases with a characteristic...
Sliding Luttinger liquid phases (2001)
Mukhopadhyay, Ranjan, Kane, C. L., Lubensky, T. C.
We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires,...
Dislocation Geometry in the TGB-A Phase: Linear Theory (2001)
Bluestein, Igor, Kamien, Randall D., Lubensky, T. C.
We demonstrate that an arbitrary system of screw dislocations in a smectic-A liquid crystal may be consistently treated within harmonic elasticity theory, provided that the angles between...
Granular Shear Flow Dynamics and Forces : Experiment and Continuum Theory (2000)
Bocquet, L., Losert, W., Schalk, D., Lubensky, T. C., Gollub, J. P.
We analyze the main features of granular shear flow through experimental measurements in a Couette geometry and a comparison to a locally Newtonian, continuum model of granular flow. The model is...
The response function of a sphere in a viscoelastic two-fluid medium (2000)
Levine, Alex J., Lubensky, T. C.
In order to address basic questions of importance to microrheology, we study the dynamics of a rigid sphere embedded in a model viscoelastic medium consisting of an elastic network permeated by a...
A Crossed Sliding Luttinger Liquid Phase (2000)
Mukhopadhyay, Ranjan, Kane, C. L., Lubensky, T. C.
We study a system of crossed spin-gapped and gapless Luttinger liquids. We establish the existence of a stable non-Fermi liquid state with a finite-temperature,long-wavelength, isotropic electric...
Particle dynamics in sheared granular matter (2000)
Losert, W., Bocquet, L., Lubensky, T. C., Gollub, J. P.
The particle dynamics and shear forces of granular matter in a Couette geometry are determined experimentally. The normalized tangential velocity $V(y)$ declines strongly with distance $y$ from the...
One- and two-particle microrheology (2000)
Levine, Alex J., Lubensky, T. C.
We study the dynamics of rigid spheres embedded in viscoelastic media and address two questions of importance to microrheology. First we calculate the complete response to an external force of a...
Structural Properties of the Sliding Columnar Phase in Layered Liquid Crystalline Systems (2000)
Golubovic, L., Lubensky, T. C., O'Hern, C. S.
Under appropriate conditions, mixtures of cationic and neutral lipids and DNA in water condense into complexes in which DNA strands form local 2D smectic lattices intercalated between lipid bilayer...
Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes (1999)
O'Hern, C. S., Lubensky, T. C., Toner, J.
We predict the existence of a totally new class of phases in weakly coupled, three-dimensional stacks of two-dimensional (2D) XY-models. These ``sliding phases'' behave essentially like decoupled,...
Molecular Chirality and Chiral Parameters (1999)
Harris, A. B., Kamien, Randall D., Lubensky, T. C.
The fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. We show that any chiral measure of a geometric object is a...
Electrostatic Repulsion of Positively Charged Vesicles and Negatively Charged Objects (1999)
Helim Aranda-Espinoza, Yi Chen, Nily Dan, T. C. Lubensky, Philip Nelson, Laurence Ramos, ...
this paper was motivated by two sets of experimental observations that defy the familiar rule above #2, 3#. Bilayer vesicles were prepared from a mixture of cationic #positively charged# and neutral...
Quantum Theory of Chiral Interactions in Cholesteric Liquid Crystals (1998)
Issaenko, A. S., Harris, A. B., Lubensky, T. C.
We study the effective chiral interaction between molecules arising from quantum dispersion interactions within a model in which a) the dominant excited states of a molecule form a band whose width...
Stability of Texture and Shape of Circular Domains of Langmuir Monolayers (1998)
Pettey, David, Lubensky, T. C.
Finite domains of a Langmuir monolayer in a phase with tilted molecules can be modeled by a simple elastic free energy of an XY order parameter with isotropic and anisotropic line tension terms. The...
Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries (1998)
Kamien, Randall D., Lubensky, T. C.
Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw...
Topological Inclusions in 2D Smectic-C Films (1998)
Pettey, David, Lubensky, T. C., Link, Darren
In thin films of smectic-C liquid crystals, localized regions containing additional smectic layers form circular inclusions that carry a topological charge. Such inclusions nucleate a companion...
Nonlinear Elasticity of the Sliding Columnar Phase (1998)
O'Hern, C. S., Lubensky, T. C.
The sliding columnar phase is a new liquid-crystalline phase of matter composed of two-dimensional smectic lattices stacked one on top of the other. This phase is characterized by strong...
Sliding Columnar Phase of DNA-Lipid Complexes (1997)
O'Hern, C. S., Lubensky, T. C.
We introduce a simple model for DNA-cationic-lipid complexes in which galleries between planar bilayer lipid lamellae contain DNA 2D smectic lattices that couple orientationally and positionally to...
Chirality in Liquid Crystals: from Microscopic Origins to Macroscopic Structure (1997)
Lubensky, T. C., Harris, A. B., Kamien, Randall D., Yan, Gu
Molecular 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...
Topological Defects and Interactions in Nematic Emulsions (1997)
Lubensky, T. C., Pettey, David, Currier, Nathan, Stark, Holger
Inverse nematic emulsions in which surfactant-coated water droplets are dispersed in a nematic host fluid have distinctive properties that set them apart from dispersions of two isotropic fluids or...
Elasticity Theory of a Twisted Stack of Plates (1997)
O'Hern, C. S., Kamien, Randall D., Lubensky, T. C., Nelson, Philip
We present an elastic model of B-form DNA as a stack of thin, rigid plates or base pairs that are not permitted to deform. The symmetry of DNA and the constraint of plate rigidity limit the number of...
Twist-Stretch Elasticity of DNA (1996)
O'Hern, C. S., Kamien, Randall D., Lubensky, T. C., Nelson, Philip
The symmetries of the DNA double helix require a new term in its linear response to stress: the coupling between twist and stretch. Recent experiments with torsionally-constrained single molecules...
Chiral Discotic Columnar Phases in Liquid Crystals (1996)
We introduce a model to describe columnar phases of chiral discotic liquid phases in which the normals to disc-like molecules are constrained to lie parallel to columnar axes. The model includes...
Soft Condensed Matter Physics (1996)
Soft condensed matter physics is the study of materials, such as fluids, liquid crystals, polymers, colloids, and emulsions, that are ``soft" to the touch. This article will review some properties,...
On the Microscopic Origin of Cholesteric Pitch (1996)
Harris, A. B., Kamien, Randall D., Lubensky, T. C.
We present a microscopic analysis of the instability of the nematic phase to chirality when molecular chirality is introduced perturbatively. We show that previously neglected short-range biaxial...
n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero (1996)
Park, Jeong-Man, Lubensky, T. C., MacKintosh, F. C.
We consider in mean-field theory the continuous development below a second-order phase transition of $n$-atic tangent plane order on a deformable surface of genus zero with order parameter $\psi =...
Chiral Lyotropic Liquid Crystals: TGB Phases and Helicoidal Structures (1996)
Kamien, Randall D., Lubensky, T. C.
The molecules in lyotropic membranes are typically aligned with the surface normal. When these molecules are chiral, there is a tendency for the molecular direction to twist. These competing effects...
Interactions between Membrane Inclusions on Fluctuating Membranes (1996)
Park, Jeong-Man, Lubensky, T. C.
We model membrane proteins as anisotropic objects characterized by symmetric-traceless tensors and determine the coupling between these order-parameters and membrane curvature. We consider the...
Chiral Fluctuations and Structures (1995)
Lubensky, T. C., Kamien, Randall D., Stark, Holger
Chiral molecules form a number of non-chiral structures, the simplest being an isotropic fluid phase. In a mesophase of achiral molecules the fluctuations will on average be achiral as well:...
Park, Jeong-Man, Lubensky, T. C.
A disclination in a hexatic membrane favors the development of Gaussian curvature localized near its core. The resulting global structure of the membrane has mean curvature, which is disfavored by...
Kosterlitz-Thouless Transitions on Fluctuating Surfaces (1995)
Park, Jeong-Man, Lubensky, T. C.
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. In the former, both...
Park, Jeong-Man, Lubensky, T. C.
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. The Coulomb-gas...
Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes (1995)
Park, Jeong-Man, Lubensky, T. C.
In the preceding paper, we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to Gaussian...
Measure Factors, Tension, and Correlations of Fluid Membranes (1994)
Cai, W., Lubensky, T. C., Nelson, P., Powers, T.
We study two geometrical factors needed for the correct construction of statistical ensembles of surfaces. Such ensembles appear in the study of fluid bilayer membranes, though our results are more...
Kamien, Randall D., Lubensky, T. C.
We propose a model of directed lines where the average direction has the nature of a cholesteric liquid crystal. This model, for instance, would describe the liquid of screw dislocations in the...
Crumpling and second sound in lyotropic lamellar phases (1990)
Lubensky, T.C., Prost, J., Ramaswamy, S.
We study relative concentration fluctuations in two component lamellar smectic liquid crystals consisting of surfactant layers of width w separated by a background fluid and show that these...
Crumpling and second sound in lyotropic lamellar phases (1990)
Lubensky, T.C., Prost, J., Ramaswamy, S.
We study relative concentration fluctuations in two component lamellar smectic liquid crystals consisting of surfactant layers of width w separated by a background fluid and show that these...
Crumpling and second sound in lyotropic lamellar phases (1990)
Lubensky, T.C., Prost, J., Ramaswamy, S.
We study relative concentration fluctuations in two component lamellar smectic liquid crystals consisting of surfactant layers of width w separated by a background fluid and show that these...
Fluctuations and lower critical dimensions of crystalline membranes (1989)
Aronovitz, Joseph, Golubovic, Leonardo, Lubensky, T.C.
We study flexible D-dimensional fixed-connectivity crystalline membranes fluctuating in a d-dimensional embedding space. We address both the crumpling transition and fluctuations around the flat...
Fluctuations and lower critical dimensions of crystalline membranes (1989)
Aronovitz, Joseph, Golubovic, Leonardo, Lubensky, T.C.
We study flexible D-dimensional fixed-connectivity crystalline membranes fluctuating in a d-dimensional embedding space. We address both the crumpling transition and fluctuations around the flat...
Fluctuations and lower critical dimensions of crystalline membranes (1989)
Aronovitz, Joseph, Golubovic, Leonardo, Lubensky, T.C.
We study flexible D-dimensional fixed-connectivity crystalline membranes fluctuating in a d-dimensional embedding space. We address both the crumpling transition and fluctuations around the flat...
New critical points in frustrated smectics (1985)
Barois, P., Prost, J., Lubensky, T.C.
A phenomenological model for frustrated smectics with competition for order at incommensurate wavevectors k1 and k2 is used to study phase diagrams and x-ray scattering intensity within mean field...
New critical points in frustrated smectics (1985)
Barois, P., Prost, J., Lubensky, T.C.
A phenomenological model for frustrated smectics with competition for order at incommensurate wavevectors k1 and k2 is used to study phase diagrams and x-ray scattering intensity within mean field...
New critical points in frustrated smectics (1985)
Barois, P., Prost, J., Lubensky, T.C.
A phenomenological model for frustrated smectics with competition for order at incommensurate wavevectors k1 and k2 is used to study phase diagrams and x-ray scattering intensity within mean field...
Correlations and x-ray scattering in polar smectic-A1 phases (1984)
The model introduced by Prost to describe polar liquid crystals with competition between two different layer spacings in smectic-A phases is used to calculate the x-ray scattering intensity I(q) in...
Correlations and x-ray scattering in polar smectic-A1 phases (1984)
The model introduced by Prost to describe polar liquid crystals with competition between two different layer spacings in smectic-A phases is used to calculate the x-ray scattering intensity I(q) in...
Correlations and x-ray scattering in polar smectic-A1 phases (1984)
The model introduced by Prost to describe polar liquid crystals with competition between two different layer spacings in smectic-A phases is used to calculate the x-ray scattering intensity I(q) in...
Superconducting diamagnetism near the percolation threshold (1983)
Rammal, R., Lubensky, T.C., Toulouse, G.
A scaling theory for the diamagnetic susceptibility, χ, and the upper critical field, Hc2, of random mixtures of superconducting and insulating elements is presented. In two dimensions, the new...
Superconducting diamagnetism near the percolation threshold (1983)
Rammal, R., Lubensky, T.C., Toulouse, G.
A scaling theory for the diamagnetic susceptibility, χ, and the upper critical field, Hc2, of random mixtures of superconducting and insulating elements is presented. In two dimensions, the new...
Superconducting diamagnetism near the percolation threshold (1983)
Rammal, R., Lubensky, T.C., Toulouse, G.
A scaling theory for the diamagnetic susceptibility, χ, and the upper critical field, Hc2, of random mixtures of superconducting and insulating elements is presented. In two dimensions, the new...
Correlations at the nematic to smectic-A critical point when ν ∥ = 2ν⊥ (1982)
We express the physical order parameter for the nematic to smectic-A (NA) transition in terms of an order parameter in another gauge where phase fluctuations are a minimum. We show that when...
Flory approximation for directed branched polymers and directed percolation (1982)
Lubensky, T.C., Vannimenus, J.
The Flory approximation for the radius of gyration of dilute polymers is generalized to systems with a preferred direction. The mean radius then increases with their size N as Nν∥ in the...
On the order of the spin glass transitions in mean field theory (1982)
Toulouse, G., Gabay, M., Lubensky, T.C., Vannimenus, J.
We present evidence that the mean field transitions in spin glasses in the presence of a magnetic field are third order in the Ehrenfest sense.
Correlations at the nematic to smectic-A critical point when ν ∥ = 2ν⊥ (1982)
We express the physical order parameter for the nematic to smectic-A (NA) transition in terms of an order parameter in another gauge where phase fluctuations are a minimum. We show that when...
Flory approximation for directed branched polymers and directed percolation (1982)
Lubensky, T.C., Vannimenus, J.
The Flory approximation for the radius of gyration of dilute polymers is generalized to systems with a preferred direction. The mean radius then increases with their size N as Nν∥ in the...
On the order of the spin glass transitions in mean field theory (1982)
Toulouse, G., Gabay, M., Lubensky, T.C., Vannimenus, J.
We present evidence that the mean field transitions in spin glasses in the presence of a magnetic field are third order in the Ehrenfest sense.
Correlations at the nematic to smectic-A critical point when ν ∥ = 2ν⊥ (1982)
We express the physical order parameter for the nematic to smectic-A (NA) transition in terms of an order parameter in another gauge where phase fluctuations are a minimum. We show that when...
Flory approximation for directed branched polymers and directed percolation (1982)
Lubensky, T.C., Vannimenus, J.
The Flory approximation for the radius of gyration of dilute polymers is generalized to systems with a preferred direction. The mean radius then increases with their size N as Nν∥ in the...
On the order of the spin glass transitions in mean field theory (1982)
Toulouse, G., Gabay, M., Lubensky, T.C., Vannimenus, J.
We present evidence that the mean field transitions in spin glasses in the presence of a magnetic field are third order in the Ehrenfest sense.
Anderson localization, branched polymers and the Yang-Lee edge singularity (1981)
We show that a recently proposed field-theoretic model of Anderson localization has the same critical behaviour as that found in the problem of branched polymers. Thus this model in D dimensions is...
Field theory and polymer size distribution for branched polymers (1981)
The statistics of crosslinked polymer chains, produced by condensation of polyfunctional units, is described by constrained equilibrium ensembles with fugacities controlling dimer, trimer, endpoint...
Field theory for ARB2 branched polymers (1981)
Lubensky, T.C., Isaacson, J., Obukhov, S.P.
The statistics of a system of condensed A-B dimers and ARB2 trimers, where only reactions between A and B units are allowed is investigated. This system is described by a field theoretical partition...
A generalized de Gennes model for the nematic to smectic-A transition with an N complex component order parameter, Ψ, is studied in the 1/N expansion. This model is similar to the...
Anderson localization, branched polymers and the Yang-Lee edge singularity (1981)
We show that a recently proposed field-theoretic model of Anderson localization has the same critical behaviour as that found in the problem of branched polymers. Thus this model in D dimensions is...
Field theory and polymer size distribution for branched polymers (1981)
The statistics of crosslinked polymer chains, produced by condensation of polyfunctional units, is described by constrained equilibrium ensembles with fugacities controlling dimer, trimer, endpoint...
Field theory for ARB2 branched polymers (1981)
Lubensky, T.C., Isaacson, J., Obukhov, S.P.
The statistics of a system of condensed A-B dimers and ARB2 trimers, where only reactions between A and B units are allowed is investigated. This system is described by a field theoretical partition...
A generalized de Gennes model for the nematic to smectic-A transition with an N complex component order parameter, Ψ, is studied in the 1/N expansion. This model is similar to the...
Anderson localization, branched polymers and the Yang-Lee edge singularity (1981)
We show that a recently proposed field-theoretic model of Anderson localization has the same critical behaviour as that found in the problem of branched polymers. Thus this model in D dimensions is...
Field theory and polymer size distribution for branched polymers (1981)
The statistics of crosslinked polymer chains, produced by condensation of polyfunctional units, is described by constrained equilibrium ensembles with fugacities controlling dimer, trimer, endpoint...
Field theory for ARB2 branched polymers (1981)
Lubensky, T.C., Isaacson, J., Obukhov, S.P.
The statistics of a system of condensed A-B dimers and ARB2 trimers, where only reactions between A and B units are allowed is investigated. This system is described by a field theoretical partition...
A generalized de Gennes model for the nematic to smectic-A transition with an N complex component order parameter, Ψ, is studied in the 1/N expansion. This model is similar to the...
Flory exponents for generalized polymer problems (1980)
We use Flory's approximation to calculate the upper critical dimension, dc, below which mean field theory breaks down. We also calculate the exponent ν controlling the dependence of the radius...
Flory exponents for generalized polymer problems (1980)
We use Flory's approximation to calculate the upper critical dimension, dc, below which mean field theory breaks down. We also calculate the exponent ν controlling the dependence of the radius...
Flory exponents for generalized polymer problems (1980)
We use Flory's approximation to calculate the upper critical dimension, dc, below which mean field theory breaks down. We also calculate the exponent ν controlling the dependence of the radius...
Helim Aranda-espinoza, Yi Chen, Nily Dan, T. C. Lubensky, Philip Nelson, Laurence Ramos
Aranda-Espinoza et al. 1 A positively charged, mixed bilayer vesicle in the presence of negatively charged surfaces (for example, colloidal particles) can spontaneously partition into an adhesion...