With a stationary random process of convex particles, we associate a density with values in the space of symmetric tensors of rank two, as a means of describing and measuring the anisotropy and mean orientation of the particles. The main result is a stereological formula allowing us to estimate this tensor from measurements in planar sections. MSC 2000: 60D05, 52A22.

Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin systems exhibit an interesting quantum behaviour manifested in a remarkable geometric spin frustration, which appears notwithstanding the purely ferromagnetic ...

Anisotropies in the elasticity, sound velocity, and minimum thermal conductivity of low borides VB, V5B6, V3B4, V2B3 are discussed using first-principles calculations. The various elastic anisotropic indexes (AU, Acomp, Ashear), three-dimensional (3D) surface contours, their planar projections among different crystallographic planes bulk modulus, shear Young’s modulus used to characterize aniso...

In this paper, we present the calculation of the effective parameters of an artificial medium made of planar conducting obstacles. The evaluation of both the effective permittivity and of the effective permeability is addressed here. It is well known that this type of artificial medium exhibits anisotropy. One possible application for this artificial medium is the fabrication of non-homogeneous...

A rigorous and efficient spectral domain formalism is presented of a plane wave-excited subwavelength circular aperture in a planar perfectly conducting metallic screen of infinitesimal thickness, based on the Bethe-Bouwkamp quasi-static model. The formulation utilizes a transmission line analogue of the medium, which facilitates the inclusion of planar multilayered material samples, where the ...

Monte Carlo simulations have been performed to investigate the dependence of the dynamic phase behavior on the bilinear exchange anisotropy of a classical Heisenberg spin system. The system under consideration is a planar thin ferromagnetic film with competing surface fields subject to a pulsed oscillatory external field. The results show that the films exhibit a single discontinuous dynamic ph...

Mechanical anisotropy in an austenitic ferromagnetic shape memory alloy (SMA), Ni50Mn26.25Ga23.75, is investigated along (010), ( 120 ) , ( 121 ) , ( 231 ) and (232) using nanoindentation. While (010) exhibits the highest reduced modulus, Er, and hardness, H, (232) shows the lowest amongst the grain orientations examined in this study. The significant elastic anisotropy measured is attributed t...

We report an observation of uniaxial magnetic anisotropy along the [100] crystallographic direction in crystalline Fe film grown on Ge buffers deposited on a (001) GaAs substrate. As expected, planar Hall resistance (PHR) measurements reveal the presence of four in-plane magnetic easy axes, indicating the dominance of the cubic anisotropy in the film. However, systematic mapping of the PHR hyst...

2D Magnets In article number 2212087, Luis Balicas and co-workers investigate topological spin structures detected in Fe5−xGeTe2, or the coexistence of planar vortices containing merons at their center with skyrmions. Their simulations reveal that skymions originates from regions in-plane out-of-plane magnetic anisotropy, respectively.