Numerical simulation of non-extensive Boltzmann equation

TL;DR

This paper introduces a test particle simulation method for solving non-extensive Boltzmann equations, successfully generating stationary energy distributions with power-law tails.

Contribution

It presents the first development of a simulation approach for non-extensive Boltzmann equations, enabling analysis of power-law energy distributions.

Findings

Stationary distributions with power-law tails achieved.

Simulation method applicable to non-extensive systems.

First results demonstrating the approach's viability.

Abstract

We present first results of the development of a test particle simulation for solving non-extensive extensions of the elastic two-particle Boltzmann equation. Stationary one-particle energy distributions with power-law tail are obtained.