We present a phenomenological theory of the interplay between linear self-assembly, isotropic attractions, and orientation-dependent repulsions in determining the phase behavior of particles that reversibly polymerize into semiflexible chains. Important examples of such linearly aggregating systems include many proteins, micelles, and dipolar fluids. Four classes of phase diagrams are predicted...

Using a geometry-based fundamental measure density functional theory, we calculate bulk fluid phase diagrams of colloidal mixtures of vanishingly thin hard circular platelets and hard spheres. We find isotropic-nematic phase separation, with strong broadening of the biphasic region, upon increasing the pressure. In mixtures with large size ratio of platelet and sphere diameters, there is also d...

Let (M,ω) be a smooth symplectic algebraic variety. A (possibly singular) algebraic subvariety Y ⊂ M is said to be isotropic, resp. Lagrangian, if the tangent space, TyY , at any regular point y ∈ Y is an isotropic, resp. Lagrangian, vector subspace in the symplectic vector space TyM (we always assume Y to be reduced, but not necessarily irreducuble). The following characterisation of isotropic...

An isotropic scaling formulation is evaluated for transient radiative transfer in a one-dimensional planar slab subject to collimated and/or diffuse irradiation. The Monte Carlo method is used to implement the equivalent scattering and exact simulations of the transient short-pulse radiation transport through forward and backward anisotropic scattering planar media. The scaled equivalent isotro...

We describe a hybrid approach to the volumetry of intracerebral and entire intracranial CSF spaces, combining two imaging techniques. Ultra-fast and reproducible quantification of intracranial liquor volumes is carried out based on T2-weighted MR images. Isotropic T1-weighted data is used as a basis for robust semi-automatic three-dimensional segmentation procedures. Variability of the proposed...

We interpret and model the statistical weak lensing measurements around 130,000 groups and clusters of galaxies in the Sloan Digital Sky Survey presented by Sheldon et al. (2007). We present non-parametric inversions of the 2D shear profiles to the mean 3D cluster density and mass profiles in bins of both optical richness and cluster i-band luminosity. Since the mean cluster density profile is ...

We report the observation and confirmation of the first groupand cluster-scale strong gravitational lensing systems found in Dark Energy Survey data. Through visual inspection of data from the Science Verification season, we identified 53 candidate systems. We then obtained spectroscopic follow-up of 21 candidates using the Gemini Multi-object Spectrograph at the Gemini South telescope and the ...

We report on extensive V, R, and i band photometry of the black-hole candidate Nova Sco 1994 (GRO J1655–40) obtained during March 1996, when the source was close to its quiescent pre-outburst optical brightness (V=17.3). From our observations and data taken from the literature we derive a refined ephemeris for inferior conjunction of the secondary star: HJD 244 9838.4198(52) + 2.62168(14)×N. We...

Different approaches to obtain sharp silicon tips with a variety of aspect ratios, for potential use in advanced microelectronics applications, were studied. Tips suited for atomic force microscopy and field emission arrays were formed by wet chemical etching of (100) and (111) single crystal silicon in KOH, TMAH and HNA etchant. Apex sharpening with thermal oxidising step resulted in tips with...

The classical differentialmixing rules are assumed to be independent effective-medium approaches, applicable to certain classes of systems. In the present work, the inconsistency of differentialmodels formacroscopically homogeneous and isotropic systems is illustratedwith amodel for the effective permittivity of simple dielectric systems of impenetrable balls. The analysis is carried out in ter...