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ANISOTROPIC STEP STIFFNESS FROM A KINETIC MODEL OF EPITAXIAL GROWTH
epitaxial growth island dynamics step edge adatoms edge-atoms surface diffusion step stiffness line tension step edge kinetics kinetic steady state Gibbs–Thomson formula Ehrlich–Schwoebel barrier step permeability
2015/10/16
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs–Thomson-type formula and the associated step stiffness as a function of the step edge orientation a...
A fast algorithm for 3D azimuthally anisotropic velocity scan
3D Velocity analysis Anisotropic parameter
2015/7/14
The conventional velocity scan can be computationally expensive for large-scale seismic data sets, particularly when the presence of anisotropy requires multiparameter scanning. We introduce a fast al...
Anisotropic interactions in a first-order aggregation model:a proof of concept
Anisotropy visual perception aggregation models implicit equations regularization relaxation time uniqueness criteria singular perturbation
2015/7/14
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modeled by limited sensorial perception of individuals, that depend...
On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains
Quasilinear Elliptic Equation Elliptic Artificial Boundary Natural Integral Equation
2013/1/30
In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with...
Anisotropic covering of fractal sets
Anisotropic covering of fractal sets Pattern Formation and Solitons
2012/4/26
We consider the optimal covering of fractal sets in a two-dimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi-minor axis is \epsilon and the se...
Anisotropic Function Spaces on Singular Manifolds
Anisotropic weighted Sobolev spaces Bessel potential spaces Besov spaces Holder spaces noncomplete Riemannian manifolds with boundary
2012/4/18
A rather complete investigation of anisotropic Bessel potential, Besov, and H\"older spaces on cylinders over (possibly) noncompact Riemannian manifolds with boundary is carried out. The geometry of t...
Effective Willis constitutive equations for periodically stratified anisotropic elastic media
Effective Willis constitutive equations periodically stratified anisotropic elastic media
2011/3/4
A method to derive homogeneous effective constitutive equations for periodically layered
elastic media is proposed. The crucial and novel idea underlying the procedure is that the
coefficients of th...
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Carleman estimate elliptic operator non-smooth coecient quasimode
2011/2/21
We consider a second-order selfadjoint elliptic operator with an anisotropic di usion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carlema...
Optimal anisotropic three-phase conducting composites: Plane problem
multimaterial composites optimal microstructures bounds for effective properties
2010/12/7
The paper establishes tight lower bound for effective conductivity tensor K∗ of two-imensional
three-phase conducting anisotropic composites and defines optimal microstructures. It is assumed t...
Minkowski Tensors of Anisotropic Spatial Structure
Minkowski Tensors Anisotropic Spatial Structure
2010/12/15
We describe a novel approach to morphology and anisotropy analysis of complex spatial structure using tensorvalued Minkowski functionals, or Minkowski tensors.
Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field
Magnetic Field Control Quantum Chaotic Dynamics Hydrogen Analogues
2010/4/2
We report magnetic field control of the quantum chaotic dynamics of hydrogen analogues in an anisotropic solid state environment. The chaoticity of the system dynamics was quantified by means of energ...
An Edge-based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
Adaptive finite element method Anisotropic mesh refinement El- liptic interface problem Non-homogeneous jump A posteriori error estimate
2015/5/6
Based on an error estimate in terms of element edge vectors on arbitrary unstruc-tured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicat...
Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals
Anisotropic Integral Functional Regularity Minimizer.
2008/6/27
Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals.
In this paper, propagation of shear waves in an initially stressed anisotropic medium has been studied. The medium has also been considered as incompressible and non-homogeneous. The velocity equation...
We obtain the optimal order of high-dimensional integration complexity in the quantum computation model in anisotropic Sobolev classes $W_{\infty}^{\bf r}([0,1]^d)$ and H$\rm{\ddot{o}}$lder Nikolskii ...
