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arXiv · 1206.0734

Viscoelastic-electromagnetism and Hall viscosity

Yoshimasa Hidaka·Yuji Hirono·Taro Kimura·Yuki Minami
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Abstract

We introduce a kind of electromagnetism, which we call viscoelastic-electromagnetism, to investigate viscoelastic transport phenomena. It is shown that Cartan's formalism of general relativity is essential for viscoelastic theory, and then the corresponding electric and magnetic fields are regarded as a velocity gradient and a Burgers vector density, respectively. As an application of this formalism, the Streda formula for the Hall viscosity is obtained.

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Yoshimasa Hidaka, Yuji Hirono, Taro Kimura, Yuki Minami. 2012-06-04. Viscoelastic-electromagnetism and Hall viscosity. https://doi.org/10.1093/ptep/pts063

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