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We study macroscopic aspects of crystal surface relaxation in 2+1 dimensions by accounting for nearequilibrium kinetics of transparent steps at the nanoscale. For slowly varying step geometries, we sh...
A stochastic step flow model with growth in 1+1 dimensions
stochastic step flow model growth 1+1 dimensions
2015/10/16
Mathematical implications of adding Gaussian white noise to the Burton– Cabrera–Frank model for N terraces (‘gaps’) on a crystal surface are studied under external material deposition for large N. The...
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 ...
Three-Step Predictor-Corrector of Exponential Fitting Method for
Nonlinear Schrödinger Equations
coupled nonlinear
Shrö dinger equation nonlinear Schrö dinger
equation with varying coefficients exponential fitting method solitons
2007/8/15
2005Vol.44No.3pp.435-439DOI:
Three-Step Predictor-Corrector of Exponential Fitting Method for
Nonlinear Schrödinger Equations
TANG Chen,1, ZHANG Fang,1
YAN Hai-Qing,1 CHEN Zh...