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As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of…

Classical Physics · Physics 2025-09-03 Ionel-Dumitrel Ghiba , Robert Martin , Marius Apetrii , Patrizio Neff

Spatially referenced data often have autocovariance functions with elliptical isolevel contours, a property known as geometric anisotropy. The anisotropy parameters include the tilt of the ellipse (orientation angle) with respect to a…

Statistics Theory · Mathematics 2021-10-04 Manolis P. Petrakis , Dionissios T. Hristopulos

Owing to its array of unique properties, graphene is a promising material for a wide variety of applications. Being two-dimensional, the properties of graphene are also easily tuned via proximity to other materials. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Aleandro Antidormi , Aron W. Cummings

Two-dimensional carbon allotropes have attracted much attention due to their extraordinary optoelectronic and mechanical properties, which can be exploited for energy conversion and storage applications. In this work, we use density…

Graphyne is a two-dimensional carbon allotrope of graphene. Its structure is composed of aromatic rings and/or carbon-carbon bonds connected by one or more acetylene chains. As some graphynes present the most of the excellent properties of…

Materials Science · Physics 2023-03-21 Guilherme B. Kanegae , Alexandre F. Fonseca

In this study we present a theoretical investigation of structural, electronic and mechanical properties of pentagonal monolayers of carbon (p-graphene), boron nitride (p-B$_{2}$N$_{4}$ and p-B$_{4}$N$_{2}$) and silver azide (p-AgN$_{3}$)…

Materials Science · Physics 2015-10-06 M. Yagmurcukardes , H. Sahin , J. Kang , E. Torun , F. M. Peeters , R. T. Senger

A 3-dimensional graph-manifold is composed from simple blocks which are products of compact surfaces with boundary by the circle. Its global structure may be as complicated as one likes and is described by a graph which might be an…

Mathematical Physics · Physics 2007-05-23 Sergei Buyalo

After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson…

Symplectic Geometry · Mathematics 2012-12-05 Yvette Kosmann-Schwarzbach

Computational materials are pivotal in advancing our understanding of distinct material classes and their properties, offering valuable insights in predicting novel structures and complementing experimental approaches. In this context,…

Materials Science · Physics 2023-10-12 F. F. Monteiro , K. A. L. Lima , L. A. Ribeiro Junior

We investigate the electronic structure and chemical activity of rippled phosphorene induced by large compressive strains via first-principles calculation. It is found that phosphorene is extraordinarily bendable, enabling the accommodation…

Materials Science · Physics 2016-10-27 Andrey A. Kistanov , Yongqing Cai , Kun Zhou , Sergey V. Dmitriev , Yong-Wei Zhang

Perpendicular magnetic anisotropy was found to be highly sensitive to the nominal thickness and morphology of laterally heterogeneous CoPd films in the vicinity of the metal insulator transition. We used the effect to tune the anisotropy by…

Materials Science · Physics 2022-05-04 Gregory Kopnov , Alexander Gerber

We demonstrate a nonlinear plasmonic metasurface that exhibits strongly asymmetric second-harmonic generation: nonlinear scattering is efficient upon excitation in one direction and it is substantially suppressed when the excitation…

We discuss recent experimental results concerning the cross section ratio of positron over electron elastic scattering on protons, and compare with the predictions of a pre-existent calculation. The deviation from unity of this ratio,…

High Energy Physics - Phenomenology · Physics 2019-02-27 V. V. Bytev , E. Tomasi-Gustafsson

Using systematic evolutionary structure searching we propose a new carbon allotrope, phagraphene, standing for penta-hexa-hepta-graphene, because the structure is composed of 5-6-7 carbon rings. This two-dimensional (2D) carbon structure is…

Materials Science · Physics 2015-09-02 Zhenhai Wang , Xiang-Feng Zhou , Xiaoming Zhang , Qiang Zhu , Huafeng Dong , Mingwen Zhao , Artem R. Oganov

We study torsional rigidity for graph and quantum graph analogs of well-known pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity.

Spectral Theory · Mathematics 2017-01-04 Don Colladay , Leon Kaganovskiy , Patrick McDonald

We study the bending of rectangular atomic monolayers along different directions from first principles. Specifically, choosing the phosphorene, GeS, TiS$_3$, and As$_2$S$_3$ monolayers as representative examples, we perform Kohn-Sham…

Materials Science · Physics 2022-12-21 Shashikant Kumar , Phanish Suryanarayana

The exceptional properties of the two-dimensional material graphene make it attractive for multiple functional applications, whose large-area samples are typically polycrystalline. Here, we study the mechanical properties of graphene in…

Materials Science · Physics 2022-04-19 Zihua Liu , Debabrata Panja , Gerard T. Barkema

Potentially new, single-atom thick semiconducting 2D-graphene-like material, called Anisotropic-cyclicgraphene, have been generated by the two stage searching strategy linking molecular and ab initio approach. The candidate derived from the…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Marcin Maździarz , Adam Mrozek , Wacław Kuś , Tadeusz Burczyński

This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation,…

Analysis of PDEs · Mathematics 2013-11-06 Eric Canon , Michel Lenczner

We develop a new tool, the time inhomogeneous Poisson equation in the whole space and with a terminal condition at infinity, to study the asymptotic behavior of the non-autonomous multi-scale stochastic system with irregular coefficients,…

Probability · Mathematics 2024-12-13 Ling Wang , Pengcheng Xia , Longjie Xie , Li Yang