Diffeomorphism Groups and Quantized Vortex Filaments

1987 ◽  
Vol 58 (21) ◽  
pp. 2162-2164 ◽  
Author(s):  
Gerald A. Goldin ◽  
Ralph Menikoff ◽  
David H. Sharp
Keyword(s):  
Quantized Vortex ◽  
Diffeomorphism Groups ◽  
Vortex Filaments

scholarly journals Self-similar vortex filament motion under the non-local Biot–Savart model

2016 ◽  
Vol 802 ◽  
pp. 760-774 ◽  
Author(s):  
Robert A. Van Gorder
Keyword(s):  
Superfluid Helium ◽  
Small Amplitude ◽  
Similarity Solutions ◽  
Vortex Filament ◽  
Quantized Vortex ◽  
Vortex Filaments ◽  
Filament Structure ◽  
Non Local ◽  
Self Similar ◽  
Local Induction Approximation

One type of thin vortex filament structure that has attracted interest in recent years is that which obeys self-similar scaling. Among various applications, these filaments have been used to model the motion of quantized vortex filaments in superfluid helium after reconnection events. While similarity solutions have been described analytically and numerically using the local induction approximation (LIA), they have not been studied (or even shown to exist) under the non-local Biot–Savart model. In this present paper, we show not only that self-similar vortex filament solutions exist for the non-local Biot–Savart model, but that such solutions are qualitatively similar to their LIA counterparts. This suggests that the various LIA solutions found previously should be valid physically (at least in the small amplitude regime), since they agree well with the more accurate Biot–Savart model.

scholarly journals Henry Edgar Hall. 28 September 1928—4 December 2015

2018 ◽  
Vol 65 ◽  
pp. 115-132
Author(s):  
A. I. Golov ◽  
W. F. Vinen
Keyword(s):  
Low Temperature ◽  
Experimental Work ◽  
Topological Defects ◽  
Vital Role ◽  
Dilution Refrigerator ◽  
Quantized Vortex ◽  
Vortex Filaments

Henry Edgar Hall was a leading experimental and theoretical low temperature physicist of his generation, who, working first in Cambridge and then in Manchester, made important contributions to our knowledge and understanding of superfluidity in both liquid 4 He and liquid 3 He. His work focused significantly, but not exclusively, on the role of topological defects, such as quantized vortex filaments, in superfluid behaviour. He also contributed in important ways to the development of the 3 He– 4 He dilution refrigerator, which has since played a vital role in experimental work requiring temperatures below 1 K.

scholarly journals Cascades and reconnection in interacting vortex filaments

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Ryan McKeown ◽  
Michael P. Brenner ◽  
Shmuel M. Rubinstein ◽  
Alain Pumir
Keyword(s):  
Vortex Filaments
Sign in / Sign up

Export Citation Format

Share Document