Equation of State of Chemical System: From True Equilibrium to True Chaos
Abstract
The article presents results of preliminary study of solutions to recently offered basic thermodynamic equation for equilibrium in chemical systems with focus on chaotic behavior. Classical part of that equation was investigated earlier in a series of papers. In this work a similarity between one-dimensional logistic map and non-classical (chaotic) term of the equation was discussed to introduce the problem. Results of this work allow us to evaluate the region where open equilibrium belongs to the basin of regular attractor and leads to trivial solutions with zero deviation from true thermodynamic equilibrium, and then to find first bifurcation threshold as a limit of open equilibrium and a limit of the classical region as well. Features of the basic equation are discussed with regard to relative values of the chaotic and thermodynamic temperatures. Obtained results prompt us to consider the basic equation of new theory to be the general equation of state of chemical systems.