Direct simulation Monte Carlo method for the Uehling-Uhlenbeck-Boltzmann equation.
2003
In this paper we describe a direct simulation Monte Carlo algorithm for the Uehling-Uhlenbeck-Boltzmann equation in terms of Markov processes. This provides a unifying framework for both the classical Boltzmann case as well as the Fermi-Dirac and Bose-Einstein cases. We establish the foundation of the algorithm by demonstrating its link to the kinetic equation. By numerical experiments we study its sensitivity to the number of simulation particles and to the discretization of the velocity space, when approximating the steady-state distribution.
Keywords:
- Monte Carlo method for photon transport
- Direct simulation Monte Carlo
- Dynamic Monte Carlo method
- Monte Carlo molecular modeling
- Kinetic Monte Carlo
- Computational physics
- Hybrid Monte Carlo
- Monte Carlo method in statistical physics
- Markov chain Monte Carlo
- Statistical physics
- Physics
- Diffusion Monte Carlo
- Boltzmann equation
- Monte Carlo method
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