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We propose to realize the anisotropic triangular-lattice Bose-Hubbard model with positive tunneling matrix elements by using ultracold atoms in an optical lattice dressed by a fast lattice oscillation. This model exhibits frustrated…

This work presents a generalized Kirchhoff-Love shell theory that can explicitly capture fiber-induced anisotropy not only in stretching and out-of-plane bending, but also in in-plane bending. This setup is particularly suitable for…

材料科学 · 物理学 2023-06-06 Thang Xuan Duong , Vu Ngoc Khiêm , Mikhail Itskov , Roger Andrew Sauer

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

偏微分方程分析 · 数学 2015-04-28 Ivan Argatov , Gennady Mishuris

Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

量子气体 · 物理学 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller

Following recent X-ray diffraction experiments by Wong, Li, and Safinya on biopolymer gels, we apply Onsager excluded volume theory to a nematic mixture of rigid rods and strong ``$\pi/2$'' cross-linkers obtaining a long-ranged, highly…

软凝聚态物质 · 物理学 2016-08-31 I. Borukhov , R. F. Bruinsma

Using the Boltzmann weights of classical Statistical Mechanics vertex models we define a new class of Tensor Product Ansatzs for 2D quantum lattice systems, characterized by a strong anisotropy, which gives rise to stripe like structures.…

强关联电子 · 物理学 2009-11-07 M. A. Martin-Delgado , M. Roncaglia , G. Sierra

The isotropic elastic moduli closest to a given anisotropic elasticity tensor are defined using three definitions of elastic distance, the standard Frobenius (Euclidean) norm, the Riemannian distance for tensors, and the log-Euclidean norm.…

材料科学 · 物理学 2007-05-23 Andrew N. Norris

We consider a trapped quasi2D dipolar Bose Einstein condensate (q2D DBEC) with a polariza- tion tilted into the plane of motion. We show that by tilting the polarization axis, the coherence properties are anisotropic. Such a system will…

原子物理 · 物理学 2012-11-06 Christopher Ticknor

Harnessing artificial optical magnetism requires rather complex two- and three-dimensional structures, examples include split-ring and fishnet metamaterials and nanoparticles with non-trivial magnetic properties. By contrast, dielectric…

We generalize the tensor product theory for modules for a vertex operator algebra previously developed in a series of papers by the first two authors to suitable module categories for a ``conformal vertex algebra'' or even more generally,…

量子代数 · 数学 2007-05-23 Yi-Zhi Huang , James Lepowsky , Lin Zhang

New low-order $H(\textrm{div})$-conforming finite elements for symmetric tensors are constructed in arbitrary dimension. The space of shape functions is defined by enriching the symmetric quadratic polynomial space with the $(d+1)$-order…

数值分析 · 数学 2024-02-22 Xuehai Huang , Chao Zhang , Yaqian Zhou , Yangxing Zhu

An overview of recent advances in the theory of critical phenomena in $d$-dimensional weakly anisotropic systems is given. On the basis of a generalized shear transformation between anisotropic and isotropic systems, exact and approximate…

统计力学 · 物理学 2023-11-07 Volker Dohm

In this paper, we consider a contact problem with adhesion between a viscoelastic body and a rigid support, taking thermal effects into account. The PDE system we deal with is derived within the modelling approach proposed by M. Fremond…

偏微分方程分析 · 数学 2015-05-14 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We derive the full set of macroscopic equations necessary to describe the dynamics of systems with active polar order in a viscoelastic or elastic background. The active polar order is manifested by a second velocity, whose non-zero modulus…

软凝聚态物质 · 物理学 2016-10-21 H. Pleiner , D. Svensek , H. R. Brand

The homogenization results obtained by Bacca et al. (Homogenization of heterogeneous Cauchy-elastic materials leads to Mindlin second-gradient elasticity. Part I: Closed form expression for the effective higher-order constitutive tensor.…

数学物理 · 物理学 2014-01-03 Mattia Bacca , Francesco Dal Corso , Daniele Veber , Davide Bigoni

We study the viscoelasticity of an active solution of polar biofilaments and motor proteins. Using a molecular model, we derive the constitutive equations for the stress tensor in the isotropic phase and in phases with liquid crystalline…

软凝聚态物质 · 物理学 2009-11-11 T. B. Liverpool , M. Cristina Marchetti

We derive a model for the finite motion of a magneto-elastic rod reinforced with isotropic (spherical) or anisotropic (ellipsoidal) inclusions. The particles are assumed weakly and uniformly magnetised, rigid and firmly embedded into the…

应用物理 · 物理学 2018-02-07 Jacopo Ciambella , Antonino Favata , Giuseppe Tomassetti

We calculate the polarization tensor of charged gluons in a Abelian homogeneous magnetic background field at finite temperature in one loop order Lorentz background field gauge in full generality. Thereby we first determine the ten…

高能物理 - 理论 · 物理学 2008-11-26 M. Bordag , V. Skalozub

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant…

量子物理 · 物理学 2009-11-07 Gao Xianlong , W. Wonneberger

We propose a generalized finite element method for linear elasticity equations with highly varying and oscillating coefficients. The method is formulated in the framework of localized orthogonal decomposition techniques introduced by…

数值分析 · 数学 2016-08-24 Patrick Henning , Anna Persson