2002/11/30 by M. Romeo, V. Da Costa, F. Bardou · 2 citations
Engineering · Physics and Astronomy · #Particle Dynamics in Fluid Flows #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.dis-nn #physics.data-an
paper · pdf · doi:10.1140/epjb/e2003-00131-6
published as Eur. Phys. J. B 32, 513-525 (2003) · 14 pages, 9 figures. Minor changes + Gini coefficient and 4 refs. added
arxiv created 2003/03/18 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The lognormal distribution describing, e.g., exponentials of Gaussian random variables is one of the most common statistical distributions in physics. It can exhibit features of broad distributions that imply qualitative departure from the usual statistical scaling associated to narrow distributions. Approximate formulae are derived for the typical sums of lognormal random variables. The validity of these formulae is numerically checked and the physical consequences, e.g., for the current flowing through small tunnel junctions, are pointed out.