Fetching the paper…

Reading the bibliography…

2013

Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity

Lapa, Matthew F., Hughes, Taylor L.

Original
PDF
Post on X

Understand

We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity.

The Hall viscosity gives an off-diagonal contribution to the fluid stress-tensor, which results in a number of striking effects.
In particular, we find that a swimmer whose area is changing will experience a torque proportional to the rate of change of the area, with the constant of proportionality given by the coefficient $\eta^o$ of odd viscosity.
After working out the general theory of swimming in fluids with Hall viscosity for a class of simple swimmers, we give a number of example swimming strokes which clearly demonstrate the differences between swimming in a fluid with conventional viscosity and a fluid which also has a Hall viscosity.

Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity · Around

Built on

G. Taylor, Proc. R. Soc. A 209
1951
Earlier work this paper cites.
E. M. Purcell, in AIP Conference Proceedings , Vol. 28 (1976) p. 49
1976
Earlier work this paper cites.
L. P. Pitaevskii and E. Lifshitz, Physical Kinetics (Butterworth-Heinemann, 1981)
1981
Earlier work this paper cites.
A. Shapere and F. Wilczek, Phys. Rev. Lett. 58
1987
Earlier work this paper cites.
D. J. Acheson, Elementary Fluid Dynamics (Oxford University Press, 1990)
1990
Earlier work this paper cites.
J. Avron, R. Seiler, and P. Zograf, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
P. Levay, Phys. Rev. E 56
1997
Earlier work this paper cites.
J. Avron, J. Stat. Phys. 92
1998
Earlier work this paper cites.

Similar

J. Wisdom, Science 299
2003
Cited alongside, same era.
L. E. Becker, S. A. Koehler, and H. A. Stone, J. Fluid Mech. 490
2003
Cited alongside, same era.
A. Najafi and R. Golestanian, Phys. Rev. E 69
2004
Cited alongside, same era.
J. Avron, O. Gat, and O. Kenneth, Phys. Rev. Lett. 93
2004
Cited alongside, same era.
R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, Nature 437
2005
Cited alongside, same era.
J. Avron, B. Gutkin, and D. Oaknin, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
J. Avron and O. Kenneth, New J. Phys. 8
2006

Then

I. V. Tokatly and G. Vignale, J. Phys. Cond. Mat. 21
2009
Later among the works it cites.
F. Haldane, arXiv preprint arXiv:0906.1854 (2009)
Original
2009
Later among the works it cites.
T. L. Hughes, R. G. Leigh, and E. Fradkin, Phys. Rev. Lett. 107
2011
Later among the works it cites.
N. Read and E. H. Rezayi, Phys. Rev. B 84
2011
Later among the works it cites.
B. Bradlyn, M. Goldstein, and N. Read, Phys. Rev. B 86
2012
Later among the works it cites.
C. Hoyos and D. Son, Phys. Rev. Lett. 108
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

N. Read, Phys. Rev. B 79

2009

Cited alongside, same era.

A. Shapere and F. Wilczek, J. Fluid Mech. 198

Cited in the paper.

A. Shapere and F. Wilczek, Am. J. Phys. 57

Cited in the paper.

T. L. Hughes, R. G. Leigh, and O. Parrikar, Phys. Rev. D 88

2013

Closest in time.