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Viscoelastic-electromagnetism and Hall viscosity

By Yoshimasa Hidaka, Yuji Hirono, Taro Kimura and Yuki Minami

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.Comment: 11 pages, no figur

Topics: Condensed Matter - Mesoscale and Nanoscale Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory
Publisher: 'Oxford University Press (OUP)'
Year: 2012
DOI identifier: 10.1093/ptep/pts063
OAI identifier: oai:arXiv.org:1206.0734

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