Advantages of Analytical Transformations in Monte Carlo Methods for Radiation Transport
2004
Monte Carlo methods for radiation transport typically attempt to solve an integral by directly sampling analog or weighted particles, which are treated as physical entities. Improvements to the methods involve better sampling, probability games or physical intuition about the problem. We show that significant improvements can be achieved by recasting the equations with an analytical transform to solve for new, non-physical entities or fields. This paper looks at one such transform, the difference formulation for thermal photon transport, showing a significant advantage for Monte Carlo solution of the equations for time dependent transport. Other related areas are discussed that may also realize significant benefits from similar analytical transformations.
Keywords:
- Computational physics
- Dynamic Monte Carlo method
- Monte Carlo method for photon transport
- Monte Carlo molecular modeling
- Photon transport in biological tissue
- Monte Carlo method
- Monte Carlo method in statistical physics
- Hybrid Monte Carlo
- Quantum Monte Carlo
- Statistical physics
- Physics
- Monte Carlo integration
- Quasi-Monte Carlo method
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