There are several ways to represent a given object's motion in a 3D space having 6DOF i.e., three translations and three rotations. Some of the methods that are used are mathematical and do not provide any geometrical insight into the nature of the motion. Screw theory is a mathematical, while at the same time, geometrical method in which the 6DOF motion of an object can be represented. We desc...

Significance Second-order phase transitions in solids occur due to spontaneous symmetry breaking with an order parameter continuously emerging from the disordered high-temperature phase. In some materials, are clearly detected thermodynamic functions (e.g., specific heat), but microscopic parameters remain “hidden” researchers, cases for decades. Here, we show how such hidden-order can be unamb...

The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. timelike surface with a constant radius could be swept out by moving Lorentzian circle its center while following non-lightlike curve called the spine curve. In study, we have parameterized examined their geometric properties, such as striction curves, corresponding those of ruled surfaces. After...

In this study, we examine the dual expression of Valeontis’ concept parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to Study mapping. Furthermore, show that part angle on unit sphere corresponds p-distance. We call these obtained “dual equidistant surfaces” and briefly denote them with “DPERS”. find Blaschke vectors, invariants striction curves DPERS give relati...

The iron selenides are important because of their superconducting properties. Here, an unexpected phenomenon is predicted to occur in an iron-selenide compound with a quasi-one-dimensional ladder geometry: BaFe(2)Se(3) should be a magnetic ferrielectric system, driven by its magnetic block order via exchange striction. A robust performance (high T(C) and large polarization) is expected. Differe...

We report on structural, magnetic, ferroelectric, and thermodynamic properties of polycrystalline orthorhombic manganites Dy(1-x)Ho(x)MnO(3) for Ho substitution levels 0 ≤ x ≤ 1. This system offers a possibility to systemically modulate the multiferroicity of RMnO(3) via tuning the A-site ionic radii as well as the A-site magnetism. The successive transition of the multiferroic ground state is ...

The interaction between an external action and the order parameter, via a dependence described by a so-called Lifshitz invariant, is very important to determine the final configuration of liquid crystal cells. The external action can be an electric field applied to the bulk or the confinement due to free surfaces or cell walls. The Lifshitz invariant includes the order parameter in the form of ...