The treatment of pressure effects on bimolecular recombinations and unimolecular dissociations is discussed. The analysis of recombination and dissociation reactions is made by showing how the nonequilibrium energy ~E! and angular momentum ~J!-dependent steady-state population distribution functions for the two reactions are related to each other and to the equilibrium population distribution f...

The reaction-diffusion master equation (RDME) is a lattice stochastic reaction-diffusion model that has been used to study spatially distributed cellular processes. The RDME is often interpreted as an approximation to spatially continuous models in which molecules move by Brownian motion and react by one of several mechanisms when sufficiently close. In the limit that the lattice spacing approa...

The governing mechanism of surface reactions is a fundamental concern in heterogeneous catalysis. The Langmuir–Hinshelwood (LH) mechanism is widely accepted to control the surface reactions in many catalytic systems. This contribution derives and compares several important surface rate equations to evaluate their quality of fitting to the experimental data collected for a vapor-phase hydrogenat...

in Figure 1. After excitation of one of the reactants, diffusion is required to bring the reaction partners at distances where charge separation (CS) can occur. The nature of the primary quenching product is still debated.3 For weakly exergonic CS, ∆GCS > ~ -0.4 eV, it is generally accepted that the product is a contact ion pair (CIP), that is, two ions at a distance enabling a substantial over...

Master equation calculations were carried out to simulate the production of hydroxyl free radicals initiated by the reaction of acetyl free radicals (CH3(C=O).) with molecular oxygen. In particular, the competition between the unimolecular reactions and bimolecular reactions of vibrationally excited intermediates was modeled by using a single master equation. The vibrationally excited intermedi...

Mathematical simulation models for measured permeability properties of axonal Na(+) channels point to the presence of bimolecular, as well as net-membrane-field-dependent intramolecular, reaction steps in channel gating reactions. An abstract chemical reaction model is presented, which postulates ligand binding reactions in both Na(+) channel activation and subsequent desensitization as observe...