A method is developed for model predictive control of nonlinear stochastic partial differential equations (PDEs) to regulate the state variance, which physically represents the roughness of a surface in a thin film growth process, to a desired level. Initially a nonlinear stochastic PDE is formulated into a system of infinite nonlinear stochastic ordinary differential equations by using Galerki...

Initial condition dependence is the key to understanding the difference between ideal strength and actual strength of both crystalline and amorphous materials. Besides intrinsic structural heterogeneities in metallic glasses (MGs), a class of “extended defects” based on the “connected atomistic free volume” (CAFV) is proposed to define the microstructure (initial condition), which is crucial to...

Kinetic model identification of metabolic networks is important, but still represents a significant challenge. The difficulties faced vary from the vast kinetic parameter search space to the lack of complete parameter identifiability. To meet these challenges, an incremental modeling approach is proposed here, including two key components—dynamic flux calculation and flux-based kinetic paramete...

This paper presents a model which provides a smooth transition between a kinetic and a diffusion domain. The idea is to use a buffer zone, in which both diffusion and kinetic equations will be solved. The solution of the original kinetic equation will be recovered as the sum of the solutions of these two equations. We use an artificial connecting function which makes the equation on each domain...

The study used a vehicle-based driving simulator to evaluate two graphical displays, one showing risk probability in terms of safety margin (Time Headway, TH), and one showing risk severity in terms of Kinetic Energy (KE). Twenty-seven subjects were randomly allocated to one of three experimental conditions: Control, TH, and KE. Subjects undertook three driving tasks (ABA design). For the secon...

This paper presents a model which provides a smooth transition between a kinetic and a hydrodynamic domain. The idea is to use a buffer zone, in which both diffusion and kinetic equations will be solved. The solution of the original kinetic equation will be recovered as the sum of the solutions of these two equations. We use an artificial connecting function which makes the equation on each dom...

Effect of an anisotropic detachment on a heteroepitaxial island shape is studied by means of a kinetic Monte Carlo simulation of a square lattice gas model. Only with molecular deposition followed by surface diffusion, islands grow in a ramified dendritic shape, similar to DLA. Introduction of molecular detachment from edges makes islands compact. To understand an anisotropic island shape obser...

Atoms and mohxuka adsorbed on metals affect each other even over comiderable dktances. In a , tour-d-force of density-functional methods, we establish the nature and strength of such indirect Y interactions, and explain for what adaorbate systems they can critically &act important materials= ~ properties. These perceptions are verified in kinetic Monte Carlo simulations of epitaxial gr~< ~ and ...