Multicomponent Number Systems

Phase Transitions in Multicomponent Systems

Consider a system with n components (different types of molecules) with r phases in equilibrium. The state of each phase is defined by P, T and then (n− 1) concentration variables in each phase. The phase equilibrium at given P, T is defined by the equality of n chemical potentials between the r phases. Thus there are n(r − 1) constraints on (n− 1)r + 2 variables. This gives the Gibbs phase rul...

Coarsening in Multicomponent Multiphase Systems

Precipitate coarsening in multicomponent systems

Expressions to obtain composition shifts due to capillarity are presented when the chemical potential shifts of the precipitate phase are taken into account. These are applied to calculate the precipitate coarsening kinetics in multicomponent systems, showing dependence on the solution thermodynamics followed by the continuous phase. 2002 Published by Elsevier Science Ltd. on behalf of Acta Mat...

Parallel Simulation of Multicomponent Systems

Simulation of multicomponent systems poses many critical challenges in science and engineering. We overview some software and algorithmic issues in developing high-performance simulation tools for such systems, based on our experience in developing a large-scale, fullycoupled code for detailed simulation of solid propellant rockets. We brie y sketch some of our solutions to these issues, with f...

Complexometric Analysis of Multicomponent Systems

Methods of complexometric analysis are reviewed with particular reference to their improved potential due to recent developments in theory and instrumentation. It is shown how accuracy has been improved and how reactions leading to the formation of compounds with rather low stability constants can be utilized successfully. For the analysis of multicomponent systems there are essentially two pos...