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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of multi-solitons to Klein-Gordon equations
多孤子 克莱因-戈登方程 动力学
2023/4/21
I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
The Atomic Dynamics of Rare Everlasting Electric Fields（图）
Atomic Dynamics Rare Everlasting Electric Fields
2018/1/31
By ricocheting neutrons off the atoms of yttrium manganite (YMnO3) heated to 3,000 degrees Fahrenheit, researchers have discovered the atomic mechanisms that give the unusual material its rare electro...
This paper gives an overview of a Workshop on Chiral Dynamics: Theory and Experiment which was held at MIT July 25-29, 1994; its unique feature was the equal mixture of theory and experiment. The purp...
Dynamics of the Dirac-Born-Infeld spike soliton
Oscillation the horizon transverse scalar field model system the dynamic degree of freedom
2014/12/22
We compare oscillations of a fundamental string ending on a D3-brane in two different settings: (1) a test string radially threading the horizon of an extremal black D3-brane and (2) the spike s...
Incoherent dynamics of vibrating single-molecule transistors
Nanometer quantum island single electron transistor model dynamics
2014/12/20
We study the tunneling conductance of nanoscale quantum “shuttles” in connection with a recent experiment [H. Park et al., Nature 407, 57 (2000)] in which a vibrating C60 molecule was apparently funct...
At very early times, the universe was not in a vacuum state. Under the assumtion that the deviation from equillibrium was large, in particular that it is higher than the scale of inflation, we analyse...
Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics
Dynamics dynamics model spatial dimension monte carlo simulation
2014/12/20
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninte...
Molecular-dynamics Simulations of Stacking-fault-induced Dislocation Annihilation in Pre-strained Ultrathin Single-crystalline Copper Films
Molecular dynamics dynamic deformation metal structure
2014/12/19
We report results of large-scale molecular-dynamics (MD) simulations of dynamic deformation under biaxial tensile strain of pre-strained single-crystalline nanometerscale- thick face-centered cubic (f...
Geometric symmetries in superfluid vortex dynamics
Quantization vortex line fluid dynamics fluid flow vortex dynamics
2014/12/18
Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, w(z)=x(z)+iy(z), describing the instant shape of the line. Al...
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation
Relativistic point dynamics Einstein formula nonlinear Klein-Gordon equation Mathematical Physics
2012/6/15
Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Schrodinger equation Bloch decomposition time-splitting spectral method semiclassical asymptotics lattice potential
2012/5/24
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
Dynamics of hydrogen-like atom bounded by maximal acceleration
Maximal acceleration Extended Relativistic Dynamics Hydrogen-like atom probabilistic description center of mass
2012/4/20
The existence of a maximal acceleration for massive objects was conjectured by Caianiello 30 years ago based on the Heisenberg uncertainty relations. Many consequences of this hypothesis have been stu...
Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length
Nonlinear Bose-Einstein-condensate Dynamics Induced Harmonic Modulation the s-wave Scattering Length
2011/9/15
In a recent experiment, a Bose-Einstein condensate of 7Li has been excited by a harmonic modulation of the atomic s-wave scattering length via Feshbach resonance. By combining an analytical perturbati...