Devil’s staircase in kinetically limited growth

Kinetically Driven Growth Instability in Stressed Solids

Stochastic Simulation of the Early Stages of Kinetically Limited Electrodeposition

Stochastic Simulation of the Early Stages of Kinetically Limited Electrodeposition Timothy O. Drews, Aleksandar Radisic,* Jonah Erlebacher,** Richard D. Braatz,** Peter C. Searson,** and Richard C. Alkire*** Department of Chemical and Biomolecular Engineering, National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA Department of M...

Formation mechanism of Ruddlesden-Popper-type antiphase boundaries during the kinetically limited growth of Sr rich SrTiO3 thin films

We elucidated the formation process for Ruddlesden-Popper-type defects during pulsed laser deposition of Sr rich SrTiO3 thin films by a combined analysis of in-situ atomic force microscopy, low energy electron diffraction and high resolution scanning transmission electron microscopy. At the early growth stage of 1.5 unit cells, the excess Sr results in the formation of SrO on the surface, resul...

Some current problems in perovskite nano-ferroelectrics and multiferroics: kinetically-limited systems of finite lateral size

We describe some unsolved problems of current interest; these involve quantum critical points in ferroelectrics and problems which are not amenable to the usual density functional theory, nor to classical Landau free energy approaches (they are kinetically limited), nor even to the Landau-Kittel relationship for domain size (they do not satisfy the assumption of infinite lateral diameter) becau...

LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING

In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...