The far to equilibrium time evolution of the ozone layer: steady-state and critical behaviour

The ozone layer stability in the far equilibrium conditions was studied in the framework of the irreversible thermodynamics. Following the Prigogineʹs procedures concerning the Brusselator model, the phenomenological model of the ozone layer leads to a system of non-linear differential equations. The steady-state solution of the system outlines the fact that the ozone layer can reach a steady state in the far equilibrium conditions for any pollutant concentration values. Applying the Lyapounovʹs theorem of stability, it is demonstrated that all the steady-state solutions for the ozone layer are stable ones. The natural limit of the ozone concentration is calculated, as well as that of the pollutant concentrations (the upper limits). This procedure suggests a way of assessing the effect of the anthropogenetic activities. The transmission coefficients of the UV radiation are calculated establishing the lower limits of the “permitting” pollution. The error analysis shows that the prediction of the stability of the steady state of the ozone layer does not depend on the errors of the input data.