TY - BOOK ID - 209472 TI - Multiscale modeling in epitaxial growth PY - 2005 VL - 149 SN - 1280263865 9786610263868 3764373431 PB - Basel : Birkhauser Verlag, DB - UniCat KW - Boundary value problems. KW - Epitaxy KW - Heat KW - Thermodynamic equilibrium KW - Mathematical models. KW - Transmission. KW - Mathematics. KW - Statistical methods. KW - Equilibrium, Thermal KW - Equilibrium, Thermodynamic KW - Equilibrium thermodynamics KW - Thermal equilibrium KW - Chemical equilibrium KW - Thermodynamics KW - Heat transfer KW - Thermal transfer KW - Transmission of heat KW - Energy transfer KW - Epitaxial growth KW - Crystal growth KW - Boundary conditions (Differential equations) KW - Differential equations KW - Functions of complex variables KW - Mathematical physics KW - Initial value problems KW - Numerical analysis. KW - Differential equations, partial. KW - Numerical Analysis. KW - Partial Differential Equations. KW - Applications of Mathematics. KW - Math KW - Science KW - Partial differential equations KW - Mathematical analysis KW - Partial differential equations. KW - Applied mathematics. KW - Engineering mathematics. KW - Engineering KW - Engineering analysis KW - Mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:209472 AB - Epitaxy is a very active area of theoretical research since several years. It is experimentally well-explored and technologically relevant for thin film growth. Recently powerful numerical techniques in combination with a deep understanding of the physical and chemical phenomena during the growth process offer the possibility to link atomistic effects at the surface to the macroscopic morphology of the film. The goal of this book is to summarize recent developments in this field, with emphasis on multiscale approaches and numerical methods. It covers atomistic, step-flow, and continuum models and provides a compact overview of these approaches. It also serves as an introduction into this highly active interdisciplinary field of research for applied mathematicians, theoretical physicists and computational materials scientists. ER -