Polymer Shape Anisotropy and the Depletion Interaction

We calculate the second and third virial coefficients of the effective sphere-sphere interaction due to polymer depletion. By utilizing the anisotropy of a typical polymer conformation, we can consider polymers that are roughly the same size as the spherical inclusions. We argue that recent experiments can confirm this anisotropy.Comment: 4 pages, 4 eps figures, RevTe

Fluctuating Nematic Elastomer Membranes: a New Universality Class

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 shear and soft transverse phonons. At harmonic level, in-plane orientational (nematic) order is stable to thermal fluctuations, that lead to short-range in-plane translational (phonon) correlations. To treat thermal fluctuations and relevant elastic nonlinearities, we introduce two generalizations of two-dimensional membranes in a three dimensional space to arbitrary D-dimensional membranes embedded in a d-dimensional space, and analyze their anomalous elasticities in an expansion about D=4. We find a new stable fixed point, that controls long-scale properties of nematic elastomer membranes. It is characterized by singular in-plane elastic moduli that vanish as a power-law eta_lambda=4-D of a relevant inverse length scale (e.g., wavevector) and a finite bending rigidity. Our predictions are asymptotically exact near 4 dimensions.Comment: 18 pages, 4 eps figures. submitted to PR

Folding transition of the triangular lattice in a discrete three--dimensional space

A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter (cond-mat/9502063) describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of the cluster variation method. The model describes the behaviour of a polymerized membrane in a discrete three--dimensional space. We have introduced a curvature energy and a symmetry breaking field and studied the phase diagram of the resulting model. By varying the curvature energy parameter, a first-order transition has been found between a flat and a folded phase for any value of the symmetry breaking field.Comment: 11 pages, latex file, 2 postscript figure

Symmetries and Elasticity of Nematic Gels

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 these gels that incorporates all underlying symmetries. After reviewing traditional elasticity and clarifying the role of broken rotational symmetries in both the reference space of points in the undistorted medium and the target space into which these points are mapped, we explore the unusual properties of nematic gels from a number of perspectives. We show how symmetries of nematic gels formed via spontaneous symmetry breaking from an isotropic gel enforce soft elastic response characterized by the vanishing of a shear modulus and the vanishing of stress up to a critical value of strain along certain directions. We also study the phase transition from isotropic to nematic gels. In addition to being fully consistent with approaches to nematic gels based on rubber elasticity, our description has the important advantages of being independent of a microscopic model, of emphasizing and clarifying the role of broken symmetries in determining elastic response, and of permitting easy incorporation of spatial variations, thermal fluctuations, and gel heterogeneity, thereby allowing a full statistical-mechanical treatment of these novel materials.Comment: 21 pages, 4 eps figure

Universal features of polymer shapes

The equilibrium shapes of long chain polymers in a dilute solution in good solvent are investigated Rotationally invariant quantities Δ and S which characterize the average asymmetry and degree of prolate — or oblateness of a polymer configuration are defined These amplitude ratios are proved to be universal, and calculated to first order in an ε = 4 - d expansion. The polymers are shown to be on average quite asymmetric and prolate.La forme moyenne adoptée par de longues chaines polymériques en solution diluée dans un bon solvant est étudiée. Deux quantités invariantes par rotation, Δ et S, sont définies et sont utilisées pour décrire de façon quantitative l'asymétrie moyenne ainsi que le degré d'élongation ou d'aplatissement d'une configuration. L'universalité de ces rapports d'amplitudes est démontrée et ils sont calculés au premier ordre en ε = 4 - d. Il est montré que les chaînes ont tendance à adopter en moyenne des configurations asymétriques de forme oblongue

Impaired T cell IRE1α-XBP1 signaling directs inflammation in experimental Heart Failure with Preserved Ejection Fraction

Heart Failure with Preserved Ejection Fraction (HFpEF) is a widespread syndrome with limited therapeutic options and poorly understood immune-pathophysiology. Using a two-hit preclinical model of cardiometabolic HFpEF that induces obesity and hypertension, we found that cardiac T cell infiltration and lymphoid expansion occur concomitantly with cardiac pathology, and that diastolic dysfunction, cardiomyocyte hypertrophy and cardiac phospholamban phosphorylation are T cell-dependent. Heart-infiltrating T cells were not restricted to cardiac antigens and were uniquely characterized by impaired activation of the Inositol-requiring enzyme-1α (IRE1α)-X-box binding protein 1 (XBP1) arm of the unfolded protein response. Notably, selective ablation of XBP1 in T cells enhanced their persistence in the heart and lymphoid organs of mice with preclinical HFpEF. Furthermore, T cell IRE1α-XBP1 activation was restored after withdrawal of the two comorbidities inducing HFpEF, resulting in partial improvement of cardiac pathology. Our results demonstrate that diastolic dysfunction and cardiomyocyte hypertrophy in preclinical HFpEF are T cell-dependent, and that reversible dysregulation of the T cell IRE1α-XBP1 axis is a T cell signature of HFpEF