Description of nonisothermal reactions in terms of Marcelin-de-Donder kinetics and its generalizations

Abstract

In this case equality (1) is attained only at ~[i/.ti --= 0 (C iS the vector of concentrations', T is the temperature and /ai(c ~ T) is the potential of the i-th substance). For our purposes it is more convenient to consider~ a potential differing from chemical ' ones by the RT factor rather than chemical potentials themselves: The former were designated /1/ as pseudochemical potentials. 261

Quasichemical Models of Multicomponent Nonlinear Diffusion

“…RT ln(c/c * )): 10) where c * j are equilibrium constants (c * is the point of linearization), deviations of c j from c * j are assumed to be small, ∆ is the Laplace operator, and L ij = L ji is the matrix of the coefficients. Its symmetry follows from microreversibility.…”

“…If the concentrations of compounds are small and the equilibrium between intermediates and other components is fast (both assumptions are important) then we approach the generalized mass action law, which is very similar to the Marselin-de Donder kinetics and the generalized mass action law studied by Feinberg, Horm and Jackson and other authors [29,30,62,10].…”

“…Let us follow the paper [10] and include the "energetic component" A U in the list of components. Instead of the stoichiometric equations (2.1), (3.18) we get:…”

Reduced description in the reaction kinetics

“…Finally, we recall an important generalization of the mass action law (5), known as the Marcelin-De Donder kinetic function [8][9][10]. Within this approach, the functions W s are constructed as follows: For a given strictly convex function G, and for a given stoichiometric mechanism (1), we deÿne the gain (+) and the loss (−) rates of the sth step,…”

“…(26). We shall return to the explicit form of the Marcelin-De Donder kinetic function (10). Let c is an arbitrary ÿxed element of the phase space.…”