2011/04/29 by Claudia Cianci, Francesca Di Patti, Duccio Fanelli · 7 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bridging (networking) #Computer science #Distribution (mathematics) #Gaussian #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1209/0295-5075/96/50011
published in Europhysics Letters (EPL) 96(5), 50011 (Institute of Physics) · 2 figures, submitted to Phys. Rev. Lett
arxiv created 2011/04/29 · openalex publication_date 2011/11/25 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The dynamics of a one-dimensional stochastic model is studied in the presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the generalized van Kampen expansion, accounting for higher-order corrections beyond the conventional Gaussian approximation. The theory is shown to successfully capture the non-Gaussian traits of the sought distribution returning an excellent agreement with the simulations, for all times and arbitrarily close to the absorbing barrier. At large times, a compact analytical solution for the distribution of fluctuations is also obtained, bridging the gap with previous investigations, within the van Kampen picture and without resorting to alternative strategies, as elsewhere hypothesized.