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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computation of phononic crystals using the PG finite element method
PG有限元法 计算 声子晶体
2023/4/17
Phononic crystals are composite materials with periodic distribution of two or more media. The difficulty of computing the band structure of the phononic crystals lies in capturing the complex geometr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
Landau–Lifshitz–Gilbert 二维 有限时间 奇点形成
2023/4/19
Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} ...
Effects of finite temperature on the Mott-insulator state
Temperature ultracold bose atoms optical lattice atom
2014/12/20
We investigate the effects of finite temperature on ultracold Bose atoms confined in an optical lattice plus a parabolic potential in the Mott-insulator state. In particular, we analyze the temperatur...
Effects of boundaries and density inhomogeneity on states of vortex matter in Bose-Einstein condensates at finite temperature
Quantum vortices 3 d eddy current condensate vortex entanglement
2014/12/19
Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on the assumption of an extended and homogen...
Diffusion and binding of finite-size particles in confined geometries
Particles airtight environment biological technology particle size space particles interaction transmission
2014/12/19
Describing the diffusion of particles through crowded, confined environments with which they can interact is of considerable biological and technological interest. Under conditions where the confineme...
Kernel based unfolding of data obtained from detectors with finite resolution and limited acceptance
unfolding kernel apparatusfunction inverseproblem regularization
2012/11/23
A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed p...
Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
An Adaptive Finite Element Method for the H-Ψ Formulation of Time-Dependent Eddy Current Problems
Maxwell’s equations eddy current problem adaptive finite element method multiply
2012/8/7
In this paper, we develop an adaptive finite element method based on reliable
and efficient a posteriori error estimates for the H − formulation of eddy current problems with
multiply connec...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
Enhancement of Blackbody Friction due to the Finite Lifetime of Atomic Levels
Blackbody Friction Finite Lifetime of Atomic Levels Atomic Physics
2012/5/17
The thermal friction force acting on an atom moving relative to a thermal photon bath is known to be proportional to an integral over the imaginary part of the frequency-dependent atomic (dipole) pola...
Effect of finite terms on the truncation error of Mie series
finite terms truncation error Mie series
2012/2/29
The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, ...
Extension of the Finite Integration Technique including dynamic mesh refinement and its application to self-consistent beam dynamics simulations
Finite Integration Technique, Adaptive Dynamic Mesh Refinement, Particle-In-Cell
2011/9/6
An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. After recalling the standard formulation of the FIT, the proposed m...
Mathematical Modeling of Finite Quantum Systems
Finite Quantum Systems Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for th...
Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
We study the QCD phase diagram at finite temperature and baryon chemical potential by relating the behavior of the light-quark condensate to the threshold energy for the onset of perturbative QCD.