Study on spin current transmission of Co1-x Tb x films

We investigate the spin to charge conversion phenomena in Y3Fe5O12/Pt/Co1-x Tb x /Pt multilayers by both the spin pumping and spin Seebeck effects. We find that the spin transport efficiency is irrelevant to magnetization states of the perpendicular magnetized Co1-x Tb x films, which can be attributed to the symmetry requirement of the inverse transverse spin Hall effect. Furthermore, the spin transmission efficiency is significantly affected by the film concentration, revealing the dominant role of extrinsic impurity scattering caused by Tb impurity. The present results provide further guidance for enhancing the spin transport efficiency and developing spintronics devices.

Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.

Breaking supersymmetry with pure spinors

For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of Mink6 solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry.

A new type of finite difference WENO schemes for Hamilton–Jacobi equations

In this paper, we propose a new type of finite difference weighted essentially nonoscillatory (WENO) schemes to approximate the viscosity solutions of the Hamilton–Jacobi equations. The new scheme has three properties: (1) the scheme is fifth-order accurate in smooth regions while keep sharp discontinuous transitions with no spurious oscillations near discontinuities; (2) the linear weights can be any positive numbers with the symmetry requirement and that their sum equals one; (3) the scheme can avoid the clipping of extrema. Extensive numerical examples are provided to demonstrate the accuracy and the robustness of the proposed scheme.

Symmetry Properties of Reciprocity Relations and Conditions for Minimum Entropy Production Law (In)validity

Consequences of symmetry properties of the phenomenological kinetic coefficients in Onsager-Casimir reciprocity relations for the minimum entropy production law validity are studied. The usually accepted symmetry requirement of the all cross kinetic coefficients for the validity of this law is found to be too strict.

On the articulatory classification of (alveolo)palatal consonants

Linguopalatal and sagittal vocal tract configuration data from a large number of languages reveal that the so-called palatal consonants (i.e. [ç ʎ c ɲ j]), as well as the vowel [i], are often realized simultaneously at the alveolar and palatal zones. Moreover, while some of these sound categories may also exhibit a palatal constriction ([ç c ɲj i]), others are exclusively alveolar or alveolopalatal in line with the manner of articulation characteristics involved ([ʎ], also [ɕ] and [tʃ]). Consonants may favor one or more places of articulation and differ in fronting degree depending on the language taken into consideration; moreover, there appears to be a symmetry requirement by which consonants differing in manner, such as [c] and [ɲ], may agree in place. The data reported in this paper argue in favor of a revision of the articulatory classification of palatal consonants by the International Phonetic Alphabet involving their subdivision into two classes, an alveolopalatal and a palatal one.

Kinematic Design of a 5-DOF Hybrid Robot with Large Workspace/Limb–Stroke Ratio

This paper deals with the conceptual and kinematic designs of a 5-degree of freedom (DOF) reconfigurable hybrid robot. The robot is composed of a 2-DOF parallel spherical mechanism that is serially connected with a 3-DOF open loop kinematic chain via a prismatic joint. Somewhat similar to the well-known Tricept robot, this design has the merit that a relatively large workspace/limb–stroke ratio can be achieved thanks to the decomposition of the motions of the output link into the 2-DOF rotation and 1-DOF translation. As with the Tricept, the robot is well suited for use as a plug-and-play module to configure different machines. The dimensional synthesis of the 2-DOF spherical parallel mechanism is carried out by the monotonical analysis of the design variables versus a global conditioning index represented by the mean of the minimum singular value of the Jacobian, leading to the solution of two nonlinear equations due to the limb length constraint and nearly axial symmetry requirement of the kinematic performance. The results of the dimensional synthesis are given via examples.

Reconciling cloning fidelities

In most theoretical literature on Quantum Cloning fidelity is defined in terms of density matrices by assuming clones which are produced in distinguishable spatial modes. Recent optical implementations of cloning \cite{Simon99, Lamas-Linares}, however, do not produce clones in distinct spatial modes, therefore another simpler expression for fidelity was proposed. However, no clear theoretical justification was provided for the equivalence of the two expressions. It is important to be able to compare experimental results with theoretical predictions, therefore the theoretical justification is given in this paper, along with the circumstances under which the two expressions for fidelity are equivalent. They are shown to be equivalent for all symmetric N$\rightarrow$M QC, with the symmetry requirement being lifted for ancilla-free cloners. The fidelity is verified explicitly for the 1$\rightarrow$2 UQC based on stimulated emission proposed in \cite{Simon99}, where the spatial indistinguishability of the output clones is also discussed.