Active nematics are driven, non-equilibrium systems relevant to biological processes including tissue mechanics and morphogenesis, and to active metamaterials in general. We study the three-dimensional spontaneous flow transition of an active nematic in
For example, the quantized value θ = π was measured (in the units of the fine-structure constant) through optical experiments performed on 3D TIs with magnetically gapped surface Dirac cones31,32. Fig. 1: Spin-resolving helical higher-order topological crystalline insulators. a A helical ...
Boscain and M. Sigalotti, A Gauss-Bonnet like formula on two- dimensional almost Riemannian manifolds, Preprint Sissa 55, Trieste (2006).A. Agrachev, U. Boscain, and M. Sigalotti. A Gauss-Bonnet like formula on two-dimensional almost Riemannian manifolds. Preprint 55/2006/M, SISSA, 2006...
FIGS. 3.3E-G illustrate example rheology measurements of three composite hydrogel precursor colloids: shear moduli as a function of frequency, shear stress as a function of shear rate, and viscosity as a function of thixotropic response time according to various examples described herein. FIG. 3.3...
On the other hand, graphene may excel in other applications such as fast analog electronics and radio-frequency transistors [23, 24]. Following the pioneering work on graphene, a host of metallic, semiconducting, and insulating monolayers have been prepared by exfoliation and CVD [8–13]. ...
The corresponding density of states for such an island is thus 1/ δ. From the well-known formula for the bulk gap in the thermodynamic limit, ∆0=2EDexp{- 1/λ}=2EDexp{-δ/V}, and the bulk value of the transition temperature, TC= ∆0/2.2=7.2 K, we find δ/V=2.5 for ...
The structures of 2D ZnSiP2 were searched with the simulation cells containing 1–4 formula units. The population size and the number of generations were both set to 30, which have been tested to give convergent results. In the first generation, a population of the structures was generated ...
Recall the formulae of Gauss and Weingarten ( G ) ∇ ˜ X Y = ∇ X Y + h ( X , Y ) , ( W ) ∇ ˜ X N = − S N X + ∇ X ⊥ N , for X , Y ∈ T ( M ) and N ∈ T ⊥ M , where h and S N are the second fundamental form and the shape ...
This drop in energy causes a photon of frequency ν to be released. The photon frequency is proportional to the energy change of the electron: (8.13)ν=ΔEgh where h = Planck's constant. The wavelength (λ) of the photon is given by (8.14)λ=cν=chΔEg where c = speed of light...
The chemical formula of TMDCs can be expressed asMX2, whereMrepresents the transition metal elements Mo,W, Ta, Nb, V, Re;Xrepresents the sulfur group elements S,Se,Te.MX2consists of two layers of sulfur group atoms(X)and a layer of transition metal atoms (M) in between, forming an “...