Viscoelastic-electromagnetism and Hall viscosity
Yoshimasa Hidaka, Yuji Hirono, Taro Kimura, and Yuki Minami
TL;DR
This paper introduces viscoelastic-electromagnetism, a new formalism linking general relativity and viscoelastic transport phenomena, leading to a novel derivation of the Hall viscosity via a Streda-like formula.
Contribution
It presents a novel formalism connecting electromagnetism with viscoelasticity using Cartan's geometry, and derives a Streda formula for Hall viscosity.
Findings
Viscoelastic-electromagnetism formalism established.
Electric and magnetic fields correspond to velocity gradient and Burgers vector density.
Derived a Streda formula for Hall viscosity.
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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