Hall effect in two-dimensional composites

Conduction in a two-component composite film, subject to a magnetic field, is treated numerically with an interface integral equation method. The composite is chosen to be a square array of starfish-shaped inclusions in an anisotropic matrix. Highly accurate calculations are performed and used to investigate microstructure-independent relations between the effective conductivity tensor elements. Asymptotic studies of closely spaced superconducting and insulating disks in an anisotropic matrix verify theoretical results. All the results in this paper are valid for the analog to the Hall effect in heat conduction, the Righi-Leduc effect.