2013/04/24 by Aleksandar Bogojević, Aleksandar Bogojevic, Antun Balaž +3
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Complex Systems and Time Series Analysis #Geometry #Gravitation #Mathematics #Nonlinear system #Physics #Quantum mechanics #Scaling #Statistical Mechanics and Entropy #Statistical physics #astro-ph.EP #cond-mat.stat-mech #nlin.AO #physics.comp-ph
paper · pdf · doi:10.1016/j.physd.2013.04.004
published as Physica D 255 (2013) 52 · 20 pages, 7 figures, 3 tables, uses elsarticle.cls
openalex publication_date 2013/04/24 · arxiv created 2013/05/28 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study dynamics and scaling exponents in a nonlinear network model inspired by the formation of planetary systems. Dynamics of this model leads to phase separation to two types of condensate, light and heavy, distinguished by how they scale with mass. Light condensate distributions obey power laws given in terms of several identified scaling exponents that do not depend on initial conditions. The analyzed properties of heavy condensates have been found to be scale-free. Calculated mass distributions agree well with more complex models, and fit observations of both our own Solar System, and the best observed extra-solar planetary systems.