Critical behaviour in chemically reacting systems: II-An exactly soluble model

The theory of thermal explosions is formulated in such a way that the consumption of fuel is included fully even in the zeroth approximation when time stretching is avoided. The critical conditions are identical with those derived in the Semenov theory which ignores the consumption of fuel. The temperature-time trajectories of the system show a discontinuity at the critical condition in spite of the fact that, due to fuel consumption, explosive and nonexplosive trajectories both return to ambient temperature.