Nonlinear Boltzmann equation for the homogeneous isotropic case: Minimal deterministic Matlab program

Published: 01-10-2010| Version 1 | DOI: 10.17632/tkn6pd8n4k.1
Pietro Asinari


This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract The homogeneous isotropic Boltzmann equation (HIBE) is a fundamental dynamic model for many applications in thermodynamics, econophysics and sociodynamics. Despite recent hardware improvements, the solution of the Boltzmann equation remains extremely challenging from the computational point of view, in particular by deterministic methods (free of stochastic noise). This work aims to improve a deterministic direct method recently proposed [V.V. Aristov, Kluwer Academic Publishers, 2001] for so... Title of program: HOMISBOLTZ Catalogue Id: AEGN_v1_0 Nature of problem The problem consists in integrating the homogeneous Boltzmann equation for a generic collisional kernel in case of isotropic symmetry, by a deterministic direct method. Difficulties arise from the multi-dimensionality of the collisional operator and from satisfying the conservation of particle number and energy (momentum is trivial for this test case) as accurately as possible, in order to preserve the late dynamics. Versions of this program held in the CPC repository in Mendeley Data AEGN_v1_0; HOMISBOLTZ; 10.1016/j.cpc.2010.06.041