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One-dimensional model of interacting-step fluctuations on vicinal surfaces:Analytical formulas and kinetic Monte Carlo simulations
One-dimensional model interacting-step fluctuations vicinal surfaces Analytical formulas kinetic Monte Carlo simulations
2015/10/16
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
step flow atomistic scheme epitaxial growth 1+1 dimensions
2015/10/16
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
Performance of a Practical Two-Step Detector for Non-Fluctuating Targets
Practical Two-Step Detector Non-Fluctuating Targets
2015/9/29
In this paper we analyze a two-step detection scheme for use in distributed sensor systems (e.g. statistical MIMO radar). The scheme arises when a data rate restriction forces each of the distributed ...
Cooperative Networked Radar:The Two-Step Detector
Cooperative Networked Radar Two-Step Detector
2015/9/29
Cooperative Networked Radar:The Two-Step Detector.
Implementation of 2-point 2-step methods for the solution of first order ODEs
Block methods Ordinary Differential Equation
2010/9/20
In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of ...
In this article, a new class of Runge-Kutta methods for initial value problems y = f(x, y) are introduced, this method replace evaluations of f with approximations of f and use the harmonic mean in ...
Weak convergence theorems of three-step Noor iterative scheme for I-quasi-nonexpansive mappings in Banach spaces
The three-step Noor iterative scheme Opial’s condition
2010/9/14
We establish the weak convergence of three-step Noor iterative scheme for an I-nonexpansive mappping in a Banach space which satisfies Opial’s condition. The presented results in this paper, is connec...
A Class of Multiderivative Hybrid One-step Methods
hybrid one-step method rational approximation
2007/12/11
This paper presents a class of hybrid one-step methods that are obtained by using Cramer's rule and rational approximation to function exp(q). The algorithms fall into the catalogue of implicit formul...