Giant Hall Effect in Composites
Copyright policy )Giant Hall Effect in Composites
This paper deals with the homogenization of the Hall effect in three-dimensional composites. We prove that the homogenized Hall coefficients are bounded from above by means of prescribed bounds on the local conductivity and the local Hall coefficient. Then, three microstructures of different nature are presented in order to show that arbitrarily large effective Hall coefficients may be obtained in dimension three if the previous prescribed bounds do not hold.
74Q15, multi-scale, AMS: 35B27, homogenization, Hall effect, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], composites
74Q15, multi-scale, AMS: 35B27, homogenization, Hall effect, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], composites
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