TY - JOUR
T1 - Strong-field magneto-transport in a composite electrical conductor
T2 - Exact asymptotic results
AU - Bergman, David J.
AU - Strelniker, Yakov M.
AU - Magier, Ronen
N1 - Funding 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.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Composite medium
KW - Critical points
KW - Exact results
KW - Magneto-transport
UR - http://www.scopus.com/inward/record.url?scp=77954314469&partnerID=8YFLogxK
U2 - 10.1016/j.physb.2010.01.044
DO - 10.1016/j.physb.2010.01.044
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AN - SCOPUS:77954314469
SN - 0921-4526
VL - 405
SP - 3037
EP - 3041
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 14
ER -