Journal Article

Viscoelastic-electromagnetism and Hall viscosity

Yoshimasa Hidaka, Yuji Hirono, Taro Kimura and Yuki Minami

in Progress of Theoretical and Experimental Physics

Published on behalf of The Physical Society of Japan

Volume 2013, issue 1
Published online January 2013 | e-ISSN: 2050-3911 | DOI: https://dx.doi.org/10.1093/ptep/pts063

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  • Condensed Matter Physics
  • Relativity and Gravitation
  • Continuum Mechanics
  • Mathematical and Statistical Physics

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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 St[math]eda formula for the Hall viscosity is presented.

Keywords: A13; E00; I96; J02

Journal Article.  3602 words. 

Subjects: Condensed Matter Physics ; Relativity and Gravitation ; Continuum Mechanics ; Mathematical and Statistical Physics