Hutchinson, Joel Le Hur, Karyn

We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincar\'e-Bloch sphere, to reveal a new class of topological energy bands with Chern number one half for each spin-1/2. The mechanism behind this fractional topology is a two-spin product state at the north pole and a maximally entangled state close to the so...

wang, yuxin sun, huafei cao, yueqi zhang, shiqiang

This paper extends the former approaches to describe the stability of n-dimensional linear time-invariant systems via the torsion &tau / ( t ) of the state trajectory. For a system r ˙ ( t ) = A r ( t ) where A is invertible, we show that (1) if there exists a measurable set E 1 with positive Lebesgue measure, such that r ( 0 ) &isin / E 1 implies ...

ren, junhua liu, feng

Power law describes a common behavior in which a few factors play decisive roles in one thing. Most software defects occur in very few instances. In this study, we proposed a novel approach that adopts power law function characteristics for software defect prediction. The first step in this approach is to establish the power law function of the maj...

Warner, Mark
Published in
Annual Review of Condensed Matter Physics

Liquid crystal elastomers and glasses suffer huge length changes on heating, illumination, exposure to humidity, etc. A challenge is to program these changes to give a complex mechanical response for micromachines and soft robotics. Also desirable can be strong response, where bend is avoided in favor of stretch and compression, even in the slender...

ashraf, pakeeza nawaz, bushra baleanu, dumitru nisar, kottakkaran sooppy ghaffar, abdul ahmed khan, muhammad aqeel akram, saima

Shape preservation has been the heart of subdivision schemes (SSs) almost from its origin, and several analyses of SSs have been established. Shape preservation properties are commonly used in SSs and various ways have been discovered to connect smooth curves/surfaces generated by SSs to applied geometry. With an eye on connecting the link between ...

Spallicci, Alessandro D.A.M. Ragosta, Fabio Helayel-Neto, José A. López-Corredoira, Martín

We revisit for 714 SNeIa the discrepancy between the red-shift associated to the distance modulus $\mu$ and the spectroscopic red-shift. Previous work has shown that the total red-shift $z$ might be a combination of the expansion red-shift $z_{\rm C}$ and of a static, blue or red shift $z_{\rm LSV}(r)$, $r$ being the comoving distance. The latter i...

Ikeda, Noriaki Strobl, Thomas

We present the BFV and the BV extension of the Poisson sigma model (PSM) twisted by a closed 3-form H. There exist superfield versions of these functionals such as for the PSM and, more generally, for the AKSZ sigma models. However, in contrast to those theories, here they depend on the Euler vector field of the source manifold and contain terms mi...

Cobb, Savannah Elizabeth

Claws are involved in numerous vital functions including locomotion and prey capture, and as a result, animals are expected to evolve claw morphologies that enable efficient performance of these biological roles whilst minimising stress/strain during functional performance. This is supported by past studies finding the geometry of pedal claws to co...

rovenski, vladimir stepanov, sergey tsyganok, irina

In this paper, we study the kernel and spectral properties of the Bourguignon Laplacian on a closed Riemannian manifold, which acts on the space of symmetric bilinear forms (considered as one-forms with values in the cotangent bundle of this manifold). We prove that the kernel of this Laplacian is an infinite-dimensional vector space of harmonic sy...

Oltean, Marius Epp, Richard J. Sopuerta, Carlos F. Spallicci, Alessandro D.A.M. Mann, Robert B.

An idealized "test" object in general relativity moves along a geodesic. However, if the object has a finite mass, this will create additional curvature in the spacetime, causing it to deviate from geodesic motion. If the mass is nonetheless sufficiently small, such an effect is usually treated perturbatively and is known as the gravitational self-...