When the Hall resistivities of all the constituents of a composite conductor are much greater than the corresponding Ohmic resistivities, the local electric field and current distributions in the system become simpler than in the absence of a magnetic field. Simple, exact, closed-form asymptotic expressions are consequently found for some elements of the macroscopic resistivity tensor of a composite conductor with arbitrary microstructure. Two critical points are identified in the macroscopic response of a composite with a disordered microstructure that does not have to be isotropic.
|Number of pages||5|
|Journal||Physica B: Condensed Matter|
|State||Published - 2010|
Bibliographical noteFunding Information:
Partial support for this research was provided by grants from the US–Israel Binational Science Foundation, the Russia–Israel Science Foundation, and the Israel Science Foundation, and by the KAMEA Fellowship Program of the Ministry of Absorption of the State of Israel.
- Composite medium
- Critical points
- Exact results