5 papers
Lifetime of small systems controlled by autocatalytic reactions
L. Pal
By using the point model of reaction kinetics we have studied the stochastic properties of the lifetime of small systems controlled by autocatalytic reaction A+X -> X+X -> A+X, X -…
Stochastic properties of systems controlled by autocatalytic reactions I
L. Pal
We analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X. Assuming the distribution of reacting particles in the system volume to be uniform,…
Randomly evolving trees III
L. Pal
The properties of randomly evolving special trees having defined and analyzed already in two earlier papers (arXiv:cond-mat/0205650 and arXiv:cond-mat/0211092) have been investigat…
Randomly evolving trees II
L. Pal
Generating function equation has been derived for the probability distribution of the number of nodes with outgoing lines in randomly evolving special trees. The stochast…
Randomly evolving trees I
L. Pal
By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variable…