The Lifshitz–Slyozov–Wagner equation for reaction-controlled kinetics

The Lifshitz–slyozov–wagner Equation for Reaction-controlled Kinetics

The late-stage behavior of a material undergoing a first-order phase transition (due to changes in temperature and/or pressure for example) is characterized by thermodynamic instability resolved through phase separation and consequent coarsening of the emerging phase. In the case of the new phase occupying much smaller volume fraction, and thus appearing as well-separated particles, this coarse...

Diffusion-Controlled Reaction Kinetics

Reaction rates for mesoscopic reaction-diffusion kinetics.

The mesoscopic reaction-diffusion master equation (RDME) is a popular modeling framework frequently applied to stochastic reaction-diffusion kinetics in systems biology. The RDME is derived from assumptions about the underlying physical properties of the system, and it may produce unphysical results for models where those assumptions fail. In that case, other more comprehensive models are bette...

Invariant grids for reaction kinetics

In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A grid-based version of MIM is developed. Generalizations to open systems are suggested. ...

The Gas Phase Oxidation of Acetaldehyde Reaction Mechanism and Kinetics

The mechanism of the low temperature oxidation of gaseous acetaldehyde was investigated in the temperature range of 1 50-400?°C. The minor, intermediate and major products were identified and measured quantitatively by sampling directly into the ionization chamber of an MS10-C2 mass spectrometer from the reactor. The formation of H2O, CO, CO2, HCOOH, H2, HCHO, CH3COOH and CH3OH as the major pro...