2011/04/29 by Claudia Cianci, Francesca Di Patti, Duccio Fanelli +1 · 9 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Autocatalysis #Autocatalytic reaction #Classical mechanics #Evolution and Genetic Dynamics #Gaussian #Kinetics #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Scheme (mathematics) #Statistical physics #cond-mat.stat-mech #physics.bio-ph
paper · pdf · doi:10.1140/epjst/e2012-01651-x
published in The European Physical Journal Special Topics 212(1), 5-22 (Springer Science+Business Media) · 15 pages, 8 figures, submitted to Phys. Rev. E
arxiv created 2011/04/29 · openalex publication_date 2012/09/01 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A stochastic model 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.