Articles dans des revues à comité de lecture
|Emergence of skew distributions in controlled growth processes|
|Gho Segun, Kwon H.K., Choi M.Y., Fortin J.-Y.|
|Physical Review E 82 (2010) 061115|
|DOI : 10.1103/PhysRevE.82.061115|
Starting from a master equation, we derive the evolution equation for the size distribution of elements in an evolving system, where each element can grow, divide into two, and produce new elements. We then probe general solutions of the evolution equation, to obtain such skew distributions as power-law, log-normal, and Weibull distributions, depending on the growth or division and production. Speciﬁcally, repeated production of elements of uniform size leads to power-law distributions, whereas production of elements with the size distributed according to the current distribution as well as no production of new elements results in log-normal distributions. Finally, division into two, or binary ﬁssion, bears Weibull distributions. Numerical simulations are also carried out, conﬁrming the validity of the obtained solutions.