搜索结果: 1-15 共查到“数学 crystal”相关记录29条 . 查询时间(0.593 秒)
Homogenization of reconstructed crystal surfaces:Fick’s law of diffusion
Homogenization reconstructed crystal surfaces Fick’s law of diffusion
2015/10/16
Fick’s law for the diffusion of adsorbed atoms adatoms on crystal surfaces below roughening is generalized to account for surface reconstruction. In this case, material parameters vary spatially at ...
From crystal steps to continuum laws:Behavior near large facets in one dimension
Crystal surface Epitaxial relaxation Self-similar solution Burton–Cabrera–Frank (BCF) model Facet Macroscopic limit
2015/10/16
The passage from discrete schemes for surface line defects (steps) to nonlinear macroscopic laws for crystals is studied via formal asymptotics in one space dimension. Our goal is to illustrate by exp...
DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
CRYSTAL IMAGE ANALYSIS USING 2D SYNCHROSQUEEZED TRANSFORMS
Crystal defect elastic deformation crystal rotation 2D general wave shape 2D general intrinsic mode type function 2D band-limited synchrosqueezed transforms
2015/7/14
We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The methods analyze atomi...
Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Bases
Eisenstein Series Crystal Bases
2015/7/6
If F is a local eld containing the group n of n-th roots of unity, and if G is a split
semisimple simply connected algebraic group, then Matsumoto [27] de ned an n-fold
covering group of G(F), tha...
Kashiwara de ned the notion of a crystal, and gave examples of crystal structures
associated with bases of representations of quantum groups. We recommend the
expository article Kashiwara [7], writt...
A Newton-Penalty Method for A Simplified Liquid Crystal Model
harmonic maps nonlinear constraint Newton's method regularized func-tional saddle points
2012/8/10
In this paper we are concerned with the computation of a liquid crystal model de痭ed
by a simpli痚d Oseen-Frank energy functional and a (sphere) nonlinear constraint. A
particular case of this model d...
Crystal energy functions via the charge in types A and C
Crystal energy functions Combinatorics
2011/9/16
Abstract: The Ram-Yip formula for Macdonald polynomials (at t=0) provides a statistic which we call charge. In types A and C it can be defined on tensor products of Kashiwara-Nakashima single column c...
Crystal rules for $(\ell,0)$-JM partitions
Crystal rules Combinatorics Representation Theory
2011/9/14
Abstract: Vazirani and the author \cite{BV} gave a new interpretation of what we called $\ell$-partitions, also known as $(\ell,0)$-Carter partitions. The primary interpretation of such a partition $\...
Soliton self-frequency blue-shift in gas-filled hollow-core photonic crystal fibers
Soliton self-frequency blue-shift hollow-core photonic crystal fibers
2011/7/7
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
Soliton blue-shift in tapered photonic crystal fiber
Soliton blue-shift tapered photonic crystal fiber
2010/12/28
We show that solitons undergo a strong blue shift in fibers with a dispersion landscape that varies along the direction of propagation. The experiments are based on a small-core photonic crystal fiber...
Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
Exotic supersymmetry kink-antikink crystal infinite period limit
2011/3/3
Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earlier in polymer physi...
Linearons: highly non-instantaneous solitons in liquid-core photonic crystal fibers
Optics (physics.optics) Mathematical Physics (math-ph) Pattern Formation and Solitons (nlin.PS)
2010/11/10
The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagatin...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
2010/11/8
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
Orientability and energy minimization in liquid crystal models
Orientability energy minimization liquid crystal models
2010/12/6
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which...