Uranium- decay chain

Abstract

The main objective of this article is to modelize the process of decay of Uranium within the framework of Membrane Computing, so the evolution of great numbers of particles can be progressively followed and the results of the desintegrations (nuclei coming from and − decays) can be counted. In order to model the process in an accurate manner, exploiting the properties of maximal parallelism and non-determinism of Membrane Computing, a Population Dynamic P system (or PDP for short) restricted to one environment and a P system conformed by only the skin have been selected. The difficulty in the characterisation of this reactions lays in the simultaneity of the different decays, since the number of desintegrations of nucleous of each specie depend on the number of atoms of the initial population. In order to solve this problem and keep their attachment, the characteristic time of production of each decay has been translated into probabilities of deintregration of a nucleous using the decay constant .