The symmetric moderately dense reaction A+A⇌B+B is analyzed within the framework of Enskog’s equation by using the Chapman–Enskog method. For the last stage of a chemical reaction–where the affinity is considered a small quantity–the constitutive equations for the reaction rate...

Quaternary gas mixtures which undergo a binary and reversible chemical reaction of the type A+B⇌C+D are analyzed within the framework of Boltzmann equation in order to investigate the effects caused by the reactions on the transport coefficients. The gas system is considered close to chemical...

We consider directed percolation with an absorbing boundary in 1 + 1 and 2 + 1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling exponents can be related to the exponents characterizing standard directed percolation 1 + 1 dimension. In addition,...

A kinetic theory for a simple reversible reaction–characterized by a binary mixture of ideal gases whose constituents denoted by A and B undergo a reaction of the type A+A⇌B+B–is developed by considering the reactive collisions as inelastic ones. The geometry of the collision is taken into...

Enskog’s kinetic theory for a symmetric moderately dense reaction A+A⇌B+B is used to determine Fick’s and Fourier’s law. The transport coefficients of diffusion, thermal-diffusion rate and thermal conductivity are represented graphically for endothermic and exothermic reactions and are...

The paper deals with a consistent BGK-type approximation for the Boltzmann-like equations which govern the evolution of a gas undergoing bimolecular chemical reactions. In particular, model equations, specifically devised for physical situations in which chemical relaxation is as fast as...

The first approximation to the reaction rate coefficient is determined by considering the equilibrium Maxwell–Jüttner distribution function and relativistic reactive differential cross-sections which take into account the activation energy of the chemical reaction. It is shown how the...

A new variational principle of steady states is found by introducing an integrated type of energy dissipation (or entropy production) instead of instantaneous energy dissipation. This new principle is valid both in linear and nonlinear transport phenomena. Prigogine’s dream has now been...

An analytical study is presented for the asymmetric FGZ reaction model, involving two different species A and B (only B can spontaneously desorb) in contact with a bath containing A and B with the same concentration. The expected values of the density and the pair correlation functions are...