Aggregates of two-dimensional vesicles: rouleaux, sheets, and convergent extension

Using both numerical and variational minimization of the bending and adhesion energy of two-dimensional lipid vesicles, we study their aggregation, and we find that the stable aggregates include an infinite number of vesicles and that they arrange either in a columnar or in a sheetlike structure. We calculate the stability diagram and we show that the sheetlike aggregate can be transformed into the columnar aggregate via vesicle intercalation, which makes the transformation reminiscent of the process of convergent extension observed in some biological tissues.     

Adaptive sampling in convergent beams

Numerical calculation of convergent Fresnel patterns through fast Fourier transform usually requires a large number of samples to fulfill the Nyquist sampling condition around the focus. From polynomial decomposition of the wavefront it is possible to determine which polynomial orders are the main contributors to the number of samples. This information can be used to properly modify the initial wavefront and relax the Nyquist condition thus giving a more efficient numerical algorithm.     

Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model

The Eigenstate Method has been developed to deduce the fermion propagator with a constant external magnetic field. In general, we find its result is equivalent to other methods and this new method is more convenient,especially when one evaluates the contribution from the infinitesimal imaginary term of the fermion propagator. Using the Eigenstate Method we try to discuss whether the infinitesimal imaginary frequency of the fermion propagator in a strong magnetic field and Lorentz-violating extension of the minimal SU(3)×SU(2)×SU(1) Standard Model could have a significant influence on the dynamical mass. When the imaginary term of the fermion propagator in this model is not trivial(((α-1)eB/3)~(1/2) σ ((α-1)2eB/3)~(1/2)), this model gives a correction to the dynamical mass.When one does not consider the influence from the imaginary term(σ ((α-1)2eB/3)~(1/2)), there is another correction from the conventional term. Under both circumstances, chiral symmetry is broken.     

Low-temperature far-infrared ellipsometry of convergent beam

Development of an ellipsometry to the case of a coherent far infrared irradiation, low temperatures and small samples is described, including a decision of the direct and inverse problems of the convergent beam ellipsometry for an arbitrary wavelength, measurement technique and a compensating orientation of cryostat windows. Experimental results are presented: for a gold film and UBe₁₃ single crystal at room temperature (=119m), temperature dependencies of the complex dielectric function of SrTiO₃ (=119, 84 and 28m) and of YBa₂Cu₃O_7– ceramic (A=119m).     

会聚光路中的三轴稳像棱镜组

本文以反射棱镜共轭理论为基础,提出了在会聚光路中用二块棱镜实现三自由度稳像的方案,并推寻了相应的公式.借助于计算机使用优化方法对简化公式进行了修正.为多自由度稳像提供了新的途径.     

Observation of double layers in a convergent magnetic field

An experimental investigation is presented in which an unusually stable space charge double layer is created in a low-pressure argon discharge in a convergent magnetic field. On the high potential side of the double layer unstable high-frequency oscillations are observed. First experimental results seem to indicate that the high-frequency oscillations exert an observable influence on the plasma density by leading to a flattening of the radial/axial density profile on the high potential side of the double layer     

Radiative corrections of heavy scalar decays to gauge bosons in the singlet extension of the Standard Model

Assuming the existence of a new real scalar singlet \(s^0\) coupled to the Standard Model via a scalar quartic portal interaction, we compute the radiative corrections to the decay rates of the heavy scalar mass eigenstate to a couple of gauge bosons ZZ and \(W^+W^-(\gamma )\), showing that they can give a contribution as large as \({{\mathcal {O}}}\)(5%) and \({{\mathcal {O}}}\)(7%), respectively. We also explicitly analyze in detail their dependence on the heavy mass \(m_S\) and on the scalar mixing angle \(\alpha \), finding that, especially in the large-mass region, these depend on the sign and the assumed value of \(\sin \alpha \).     

Mechanism of amplification of convergent shock waves in porous media

The effect of amplification of moderate-intensity converging shock waves in porous media with decreasing initial density, revealed by numerically solving the hydrodynamics equations, was demonstrated for ID converging waves and for a 2D problem of the compression of porous material in conical solid targets. The latter problem was also treated within the framework of the simplest model of dynamic deformation of solids, with consideration given to shear stresses. The calculation results for porous graphite, aluminum, and Teflon samples are presented. Both closed targets and targets with an outlet orifice were considered. When modeling the intense shock loading of graphite, its transformation into diamond was taken into account.     

Fast convergent dyadic Green's function in a rectangular waveguide

Alternative formulas for the dyadic Green's function in a rectangular waveguide are presented. These new functions are deduced by modifying part of Rahmat-Samii's derivation procedures by employing the Poisson summation technique. The Green's function obtained owns fast convergence property and is proved to be more suitable for numerical applications.     

Quantification of entanglement by means of convergent iterations

The relative entropy of entanglement of a given bipartite quantum state is calculated by means of a convergent iterative algorithm. When this state turns out to be nonseparable, the algorithm also provides the corresponding optimal entanglement-witness measurement.     

Postponement of saturation of the Richtmyer-Meshkov instability in a convergent geometry

Strongly shocked cylindrically convergent implosions were conducted on the OMEGA laser. The directly driven targets consist of a low-density foam core and an embedded aluminum shell covered by an epoxy ablator. The outer surface of the aluminum shell has imposed single-mode perturbations with wave numbers k=0.08, 0.25, and 0.7 (rad/microm) and initial amplitudes eta(0)/lambda=0.013, 0.04 and 0.11. The perturbation growth rate is found to scale with k and, in our convergent geometry, no evidence of saturation for eta/lambda as large as 5 is observed.     

Critical phenomena with convergent series expansions in a finite volume

Linked cluster expansions are generalized from an infinite to a finite volume. They are performed to 20th order in the expansion parameter to approach the critical region from the symmetric phase. A new criterion is proposed to distinguish first- from second-order transitions within a finite-size scaling analysis. The criterion applies also to other methods for investigating the phase structure, such as Monte Carlo simulations. Our computational tools are illustrated with the example of scalar (O(N) models with four- and six-point couplings forN=1 andN=4 in three dimensions. It is shown how to localize the tricritical line in these models. We indicate some further applications of our methods to the electroweak transition as well as to models for superconductivity.     

On longitudinal acoustic propagation in convergent and divergent nozzle flows

The longitudinal propagation of sound in quasi-one-dimensional low Mach number nozzle flow is considered in section 1. The solution in the ray approximation (section 2.1) is used to transform the wave equation into a Schrödinger form, which is studied for the family of power-law ducts, including, as a particular case, the conical nozzle. It is shown that the coincidence of flow sources/sinks with sound sources can lead to appearance of essential singularities (section 2.2), which can be removed by using a Riccati transformation (section 2.4). The exact solutions of the acoustic equations for the parabolic (Figure 1) and hyperbolic (Figure 2) nozzles are obtained in terms of Bessel functions (section 2.3), respectively of complex order and argument. The general formulas, together with limiting forms in the compactness, ray and asymptotic approximations (section 3.1), are used to establish properties of the acoustic velocity and pressure (section 3.2), kinetic and compression energies, and energy flux and wave action (section 3.3); for example, it is shown that the equipartition of energies for moderate variations in cross-section, gives way (Table 2) to a predominance of kinetic/compression energies respectively near blockages/openings. The effects of non-uniform mean flow (Table 1) are discussed by comparing horns with nozzles (section 3.4): e.g., it is shown that the duality principle, in three alternative forms, does not extend from horn to nozzles, and the acoustic equations have no elementary solutions for the latter, in contrast with the former.     

Kinematic simulation of convergent beam low-energy electron diffraction patterns

Kinematic simulations are used to investigate the geometrical properties of convergent beam low-energy electron diffraction patterns from an Si(0 0 1) surface. Compression of a low-energy electron microscope immersion lens is included explicitly and the sensitivity of patterns to surface reconstruction and dimer buckling is investigated. Key pattern features and whole pattern symmetries are identified from the simulations and interpreted geometrically. Advantages over conventional low-energy electron diffraction techniques are identified.     

Diffraction of strongly convergent X-rays from picosecond acoustic transients

Following femtosecond laser excitation, large transient changes in the X-raydiffraction efficiency have been observed in thin crystalline films of germanium. This behavior is explained in terms of the thermo-acoustic response of the impulsively heated material, when an inhomogeneously strained surface layer is probed by divergent X-ray beams. PACS 61.10.Nz; 41.50.+h     

Laser generation of convergent acoustic waves for materials inspection

A laser technique for generating convergent acoustic waves is described. The optically probed Rayleigh wave in the centre of convergence shows an amplification factor of the order of 20 with respect to a collimated surface wave. Applications to the ultrasonic characterization of layered materials and to crack detection are described.     

Pulse signal detection in a focal area of a convergent wave front

Diffraction effects, taking place during nonlinear transformations in inhomogeneous acoustic fields, are experimentally investigated. The case of a convergent spherical wave front propagating in a uniform nonlinear medium, detection of an acoustic field in a focus, and receiving of the detected signal in the region of the initial wave front aperture are considered. A spherical piezoceramic transducer is used in the experiments as a focusing device. Broad-angle “nonlinear scattering” signals have been recorded at the experimental facility where a pulsed mode of focused transducer operation in water is implemented. The dependence of the amplitude of the signal, detected in the focal area, and its shape on the scattering direction, as well as on the distance between the focus and the receiving point, are studied.