https://doi.org/10.1140/epjst/e2012-01651-x
Regular Article
Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions
1 Dipartimento di Sistemi e Informatica, University of Florence, via S. Marta 3, 50139 Florence, Italy
2 Dipartimento di Energetica, University of Florence, via S. Marta 3, 50139 Florence, Italy
3 Dipartimento di Energetica, University of Florence and INFN, via S. Marta 3, 50139 Florence, Italy
4 Dipartimento di Matematica, University of Florence Viale Morgagni 67/A, 50134 Florence, Italy
a e-mail: claudia.cianci@unifi.it
b e-mail: f.dipatti@gmail.com
c e-mail: duccio.fanelli@unifi.it
d e-mail: luigi.barletti@unifi.it
Received:
31
May
2012
Revised:
23
July
2012
Published online:
17
September
2012
A complex network of autocatalytic chemical reactions is studied both numerically and analytically. The van Kampen perturbative scheme is implemented, beyond the second order approximation, so to capture the non Gaussianity traits as displayed by the simulations. The method is targeted to the characterization of the third moments of the distribution of fluctuations, originating from a system of four populations in mutual interaction. The theory predictions agree well with the simulations, pointing to the validity of the van Kampen expansion beyond the conventional Gaussian solution.
© EDP Sciences, Springer-Verlag, 2012
