Viscoelastic-electromagnetism and Hall viscosity

Yoshimasa Hidaka; Yuji Hirono; Taro Kimura; Yuki Minami

doi:10.1093/ptep/pts063

Viscoelastic-electromagnetism and Hall viscosity

Yoshimasa Hidaka, Yuji Hirono, Taro Kimura, Yuki Minami

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

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 St?reda formula for the Hall viscosity is presented.

Original language	English
Article number	013A02
Journal	Progress of Theoretical and Experimental Physics
Volume	2013
Issue number	1
DOIs	https://doi.org/10.1093/ptep/pts063
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1093/ptep/pts063

Cite this

@article{87e51d16daa34a92ad6521989caea821,

title = "Viscoelastic-electromagnetism and 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 St?reda formula for the Hall viscosity is presented.",

author = "Yoshimasa Hidaka and Yuji Hirono and Taro Kimura and Yuki Minami",

year = "2013",

doi = "10.1093/ptep/pts063",

language = "English",

volume = "2013",

journal = "Progress of Theoretical and Experimental Physics",

issn = "2050-3911",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Viscoelastic-electromagnetism and Hall viscosity

AU - Hidaka, Yoshimasa

AU - Hirono, Yuji

AU - Kimura, Taro

AU - Minami, Yuki

PY - 2013

Y1 - 2013

N2 - 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?reda formula for the Hall viscosity is presented.

AB - 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?reda formula for the Hall viscosity is presented.

UR - http://www.scopus.com/inward/record.url?scp=84874069467&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874069467&partnerID=8YFLogxK

U2 - 10.1093/ptep/pts063

DO - 10.1093/ptep/pts063

M3 - Article

AN - SCOPUS:84874069467

SN - 2050-3911

VL - 2013

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

IS - 1

M1 - 013A02

ER -

Viscoelastic-electromagnetism and Hall viscosity

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this