Statistics Of The Burst Model At Super-critical Phase

TL;DR

This paper analyzes the statistical behavior of a super-critical phase in a type-I X-ray burst model, focusing on the evolution and coverage of burnable clusters over time.

Contribution

It provides a new simple statistical framework for understanding the evolution of burnable clusters in the super-critical phase of the model.

Findings

Derived a relation between average and peak coverage of burnable clusters.

Presented a simple model for the time evolution of cluster coverage.

Analyzed the statistical properties of the burst model in its super-critical phase.

Abstract

We investigate the statistics of a model of type-I X-ray burst [Phys. Rev. E, {\bf 51}, 3045 (1995)] 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.