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The Reciprocal Hall Effect, CPT Symmetry and the Second Law
Current Issue
Volume 4, 2017
Issue 1 (January)
Pages: 1-8   |   Vol. 4, No. 1, January 2017   |   Follow on         
Paper in PDF Downloads: 150   Since Jun. 28, 2017 Views: 1703   Since Jun. 28, 2017
Authors
[1]
George Levy, Entropic Power, 3980 Del Mar Meadows, San Diego, USA.
Abstract
Onsager reciprocals are extended to systems that include a magnetic field. A new phenomenon, the reciprocal Hall effect, is proposed: when a magnetic field is applied parallel to a surface and an electric field is applied perpendicular to the surface, a current is spontaneously generated along the surface, perpendicular to both fields. This phenomenon is shown to produce no second law violation when particles are homogeneous and indistinguishable, in compliance with the H-theorem which assumes homogeneity and indistinguishability. However, second law violations do arise when the reciprocal Hall Effect is implemented in heterogeneous systems in which particles can be distinguished by their physical attributes such as their statistics. Such systems fall outside the coverage of the H-Theorem and therefore are not restricted by the second law. One must then choose between full Onsager reciprocity, CPT symmetry and the second law. They cannot all be correct.
Keywords
Onsager Reciprocal, Second Law, Homogeneity, Indistinguishability, Entropy, Statistical Symmetry, Hall Effect, H-theorem
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Note: There are two reciprocal Hall effects. The most interesting one is discussed at length in this paper. The second is trivial. It is the generation of a perturbation in the primary magnetic field in the presence of a perpendicular electric field and a perpendicular current. This perturbation is produced by the shifting of the current’s path by the electric field.
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Levy, G. S., Playing Rock, Paper, Scissors in Non-Transitive Statistical Thermodynamics. Journal of Applied Mathematics and Physics, Vol. 5 No. 5 2017 pages 1174-1197, DOI: 10.4236/jamp.2017.55102.
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