Anomalous Radiative Transfer in Heterogeneous Media.

Area of Science:

• Physics
• Computational Science

Background:

• Monte Carlo (MC) simulations are crucial for understanding transport phenomena.
• Established MC methods exist for classical transport but lack general approaches for anomalous transport.

Purpose of the Study:

• To develop a universally applicable set of rules for MC simulations in anomalous diffusion media.
• To ensure these rules are compatible with finite-size geometries and heterogeneous inclusions.

Main Methods:

• Identification of a novel set of rules for MC simulations in anomalous diffusion.
• Validation of these rules for pathlength invariance and radiometric concepts like fluence.

Main Results:

• The proposed rules are applicable to anomalous transport phenomena beyond radiative transfer.
• Demonstrated compatibility with finite-size geometries and heterogeneous inclusions.
• Revealed the possibility of resetting the 'memory' of non-exponential step-length distributions at interfaces.

Conclusions:

• The developed MC simulation rules provide a robust framework for anomalous transport.
• These findings have significant implications for physical interpretation and experimental verification of anomalous transport phenomena.