𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized solution of interdiffusion problem: Optimal approach for multicomponent bounded systems

✍ Scribed by Danielewski, M.; Filipek, R.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
797 KB
Volume
17
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

✦ Synopsis

Darken's phenomenological scheme for diffusion in binary systems is used for a description of interdiffusion in multicomponent ( r 2 2) mixtures. The mathematical model of interdiffusion in the bounded mixture (i.e., layer of finite thickness) showing constant concentration (e.g., in solid or liquid solutions) and variable diffusivity of the components is formulated. We derive, with the use of idea of generalized solution, an exact expression for the evolution of components distribution. Also, we consider an asymptotic approximation of the exact expression which can be simply applied to a variety of initial conditions. We show, in an elementary case of interdiffusion in a two-component mixture with constant diffusion coefficients, the analytical results and the complete algorithm of finding the density profiles. The experimental and theoretical results for a Cu-Ni solid solution are presented.

πŸ“œ SIMILAR VOLUMES

Polynomial matrix solution of H2 optimal
Polynomial matrix solution of H2 optimal control problem for state-space systems
✍ M. J. Grimble πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 275 KB

## Abstract A polynomial matrix solution to the H~2~ output feedback optimal control problems is obtained for systems represented in state‐equation form. The proof does not invoke the separation principle but is obtained in the __z__‐domain. The cost function includes weighted states, which allows

Asymptotically Optimal Bounds for OBDDs
Asymptotically Optimal Bounds for OBDDs and the Solution of Some Basic OBDD Problems
✍ Beate Bollig; Ingo Wegener πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 262 KB

Ordered binary decision diagrams (OBDDs) are nowadays the most common dynamic data structure or representation type for Boolean functions. Among the many areas of application are verification, model checking, and computer aided design. For many functions it is easy to estimate the OBDD size but asym