Abstract
We calculate the topological noise characterizing the direction of line vortices in superfluid and classical turbulence by finding the intersection of line vortices with square surfaces of edge length l s positioned normal to three orthogonal axes. In the case of homogeneous superfluid turbulence in thermal counterflow, we find that the noise scales as l s along the two directions normal to the counterflow and as l 3/2s along the direction parallel to it. In homogeneous isotropic superfluid turbulence, at T→0 K, the noise scales as l 7/4s . In homogeneous isotropic classical turbulence, the scaling is l 2s . We offer possible interpretations of the computed scalings, as well as justification for their differences.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Kivotides and A. Leonard, Phys. Rev. Lett. 90, 234503 (2003).
D. Kivotides and A. Leonard, Europhys. Lett. 65, 344 (2004).
D. Kivotides and A. Leonard, Europhys. Lett. 66, 69 (2004).
A. Maniv, E. Polturak, and G. Koren, Phys. Rev. Lett. 91, 197001 (2003).
G. E. Volovik, JETP Lett. 78, 533 (2003).
G. E. Volovik, The Universe in a Helium Droplet (Oxford Univ. Press, New York, 2003), p. 353.
A. M. Polyakov, Gauge Fields and Strings (Harwood Academic, Chur, 1987).
S. C. Courts and J. T. Tough, Phys. Rev. B 38, 74 (1988).
A. P. Finne, T. Araki, R. Blaauwgeers, et al., Nature 424, 1022 (2003).
W. F. Vinen and J. J. Niemela, J. Low Temp. Phys. 128, 167 (2002).
O. C. Idowu, D. Kivotides, C. F. Barenghi, and D. C. Samuels, J. Low Temp. Phys. 120, 269 (2000).
J. Koplik and H. Levine, Phys. Rev. Lett. 71, 1375 (1993).
A. T. A. M. de Waele and R. G. K. M. Aarts, Phys. Rev. Lett. 72, 482 (1994).
K. W. Schwarz, Phys. Rev. B 38, 2398 (1988).
D. Kivotides, J. C. Vassilicos, D. C. Samuels, and C. F. Barenghi, Phys. Rev. Lett. 86, 3080 (2001).
A. Leonard, Phys. Fluids 6, 765 (1994).
G. S. Winckelmans and A. Leonard, J. Comput. Phys. 109, 247 (1993).
A. Leonard, Annu. Rev. Fluid Mech. 17, 523 (1985).
A. Leonard and K. Chua, Physica D (Amsterdam) 37, 490 (1989).
D. Kivotides and A. Leonard, Europhys. Lett. 63, 354 (2003).
D. R. Poole, H. Scoffield, C. F. Barenghi, and D. C. Samuels, J. Low Temp. Phys. 132, 97 (2003).
C. F. Barenghi, R. L. Ricca, and D. C. Samuels, Physica D (Amsterdam) 157, 197 (2001).
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 80, No. 3, 2004, pp. 174–178.
Original English Text Copyright © 2004 by Kivotides.
This article was submitted by the author in English.