AbslraclRigorous bounds on temperature and concentration are obtained for a model reacting system incorporating spatial variation, reactant consumption, and Arrhenius kinetics. Similar bounds are obtained for the Semenov (spatially uniform) approximation. Temperatures predicted by the FrankKamenetskii (stationaryl approximation are shown to be upper bounds on the temperature of the complete tim...

We present the results of a large scale computer simulation of su-percooled silica. We find that at high temperatures the diffusion constants show a non-Arrhenius temperature dependence whereas at low temperature this dependence is also compatible with an Arrhe-nius law. We demonstrate that at low temperatures the intermediate scattering function shows a two-step relaxation behavior and that it...

A study of the cure kinetics a one-part water-scavenging silicone elastomer was carried out under conditions controlled humidity and temperature using rectangular bars subjected to oscillatory torsional shear. Characteristic times were obtained from Hsich model fits storage modulus evolution. modified Arrhenius-style is proposed that accounts for both dependence proportionality between rate con...

We investigate both theoretically and experimentally the stochastic switching between two counterpropagating lasing modes of a semiconductor ring laser. Experimentally, the residence time distribution cannot be described by a simple one-parameter Arrhenius exponential law and reveals the presence of two different mode-hop scenarios with distinct time scales. In order to elucidate the origin of ...

We present an algorithm for parameter identification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the se...

The aim of this work is to apply the homotopy perturbation method for solving the steady state equations of the exothermic decomposition of a combustible material obeying Arrhenius, Bimolecular, and Sensitised laws of reaction rates. These equations are formulated on some Class A geometries an infinite cylinder, an infinite slab, and a sphere . We also investigate the effect of Frank-Kamenetski...

The temperature behavior of the natural microflora on the Mediterranean fish red mullet (Mullus barbatus) was examined as a case study. The growth of the spoilage bacteria Pseudomonas spp., Shewanella putrefaciens, Brochothrix thermosphacta, and lactic acid bacteria was modeled as a function of temperature and the concentration of carbon dioxide in modified atmosphere packaging. Combined models...