Line-addressable digital-deflection programmable micromirror array

We report a novel digital-deflection programmable micromirror array driven by micromechanical digital-to-analog converters that eliminates the need for electrical digital-to-analog converters for analog displacement control, thus simplifying the driving circuitry and reducing the overall system cost. Furthermore, owing to the bistable and hysteretic characteristics of parallel-plate electrostatic actuators, an array of micromirrors can be controlled by means of row- and column-addressing lines, which drastically reduce the number of routing wires and allow array sizes to increase while they maintain high array quality.     

The role of pressure anisotropy on the maximum mass of cold compact stars

We study the physical features of a class of exact solutions for cold compact anisotropic stars. The effect of pressure anisotropy on the maximum mass and surface red-shift is analysed in the Vaidya-Tikekar model. It is shown that maximum compactness, red-shift and mass increase in the presence of anisotropic pressures; numerical values are generated which are in agreement with observation.      

Cosmic strings in Bianchi III spacetime: Integrable cases

We investigate the integrability of cosmic strings in Bianchi III spacetime using a symmetry analysis. The behaviour of the model is reduced to the solution of a single second order nonlinear differential equation. We show that this equation has a rich structure and admits an infinite family of solutions. Our class of solutions extends special cases previously obtained by Tikekar and Patel [Gen. Relativ. Gravit. 24, 397 (1992)].     

Collision-free gases in Bianchi space-times

We study collision-free gases in Bianchi space-times. Spatially homogeneous distribution functions are found for all Bianchi types by supposing that the distribution functionf(x, p) is a function of the Killing vector constants of the motion only. Bianchi types I, VIII and IX only, lead to physical distributions. In types VIII and IX the average behaviour of the gas is that of a nonrotating viscous fluid. In an attempt to obtain physical spatially homogeneous distribution functions for all Bianchi types, we write the Liouville equation in a spatially homogeneous orthonormal tetrad. Furthermore, the general inhomogeneous solution of Liouville's equation in Bianchi type I is obtained, depending on constants of the motion that generalise the conserved quantities generated by Lorentz boosts in flat space-time.     

Invariant solutions of Liouville's equation in Robertson-Walker space-times

We find all solutions of Liouville's equation in Robertson-Walker space-times that are either spatially homogeneous or isotropic or both. Some of these solutions depend on constants of motion that are not generated by Killing vectors. We indicate how these solutions may be used to find Einstein-Liouville solutions.     

Simulations of structure and vibrational spectra of deoxyoctanucleotides

Combined molecular dynamics and ab initio computations were applied for analysis of infrared absorption and vibrational circular dichroism spectra of deoxyoctanucleotides. Unlike for previous idealized models, molecular geometries of these shorter DNA fragments in solutions were obtained as dynamic averages from simulations in a periodic water box. Vibrational spectra for the whole octamers including hydrogen-bonded solvent molecules were simulated on the basis of density-functional calculations on small fragments and subsequent transfer of molecular property tensors. Explicit and continuum solvent models were compared. Apparently, the DNA segments retain an approximate B-conformation in the aqueous solutions, but the terminal base pairs significantly deviate from the planar arrangement and the vibrational circular dichroism spectrum for (CG)(2) nucleotide indicates a larger average helical twist. Sodium counterions moved freely around the molecule during the simulation and do not influence spectral intensities. Simulated absorption spectra faithfully reproduced the experimental signal of principal functional groups, while only qualitative agreement was obtained for the dependence on the basis sequence.     

Crystallographic and Inclusion Properties of some Diacetylated Calix[4]arenes

Three 5,17-diacetylcalix[4]arene derivatives 3–5 have been prepared, evaluated for inclusion properties, and their single crystal X-ray structures determined. The diacetyl calixarenes 3 and 4 were obtained by acetylation of their parent dimethoxy 1 or dipropoxy 2 compounds, respectively, whereas 5,17-diacetyl-25,26,27,28-tetrapropoxycalix[4]arene 5 was prepared by alkylation of 4. Crystallisation of 3 resulted in no inclusion from chloroform, but yielded lattice inclusion compounds from acetonitrile or acetone. The calixarene 3 maintains its cone conformation in these crystals, but displays degrees of distortion depending upon the included solvent. Crystal structures of solvent-free 4 and 5 are also described. A new preparation of the monomethoxy derivative 6 is described, and its X-ray structure with chloroform guest is analysed.     

General Solution for a Class of Static Charged Spheres

We find a class of solutions to the Einstein–Maxwell system for a charged sphere with a particular choice of the electric field intensity by assuming a particular form for the hypersurfaces {t = constant}. In the uncharged limit we regain static stars studied previously. A qualitative analysis of the physical features of the model is performed. The presence of charge allows for more general behaviour than is the case for uncharged spheres. In particular we show that the causal signals are permitted over a wider range of parameters in the presence of charge. Also we show that our solutions satisfy a simple scaling relationship.     

Radiating fluid sphere immersed in an anisotropic atmosphere

We model a radiating star undergoing dissipative gravitational collapse in the form of radial heat flux. The exterior of the collapsing star is described by the generalised Vaidya solution representing a mixture of null radiation and strings. Our model generalises previously known results of constant string density atmosphere to include inhomogeneities in the exterior spacetime. By utilising a causal heat transport equation of the Maxwell–Cattaneo form we show that relaxational effects are enhanced in the presence of inhomogeneities due to the string density.