Statistics of the burst model at super-critical phase

We investigate the statistics of a model of type-I X-ray burst (Phys. Rev. E 51 (1995) 3045) in its super-critical phase. The time evolution of the burnable clusters, places where fire can pass through, is studied using simple statistical arguments. We offer a simple picture for the time evolution of the percentage of space covered by burnable clusters. A relation between the time-average and the peak percentage of space covered by burnable clusters is also derived.