eprintid: 10132392
rev_number: 14
eprint_status: archive
userid: 608
dir: disk0/10/13/23/92
datestamp: 2021-08-17 10:12:36
lastmod: 2021-10-20 23:50:28
status_changed: 2021-08-17 10:12:36
type: article
metadata_visibility: show
creators_name: Shah, R
creators_name: Van Gorder, RA
title: Localized nonlinear waves on quantized superfluid vortex filaments in the presence of mutual friction and a driving normal fluid flow
ispublished: pub
divisions: UCL
divisions: B04
divisions: C05
divisions: F46
note: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: We demonstrate the existence of localized structures along quantized vortex filaments in superfluid helium under the quantum form of the local induction approximation (LIA), which includes mutual friction and normal fluid effects. For small magnitude normal fluid velocities, the dynamics are dissipative under mutual friction. On the other hand, when normal fluid velocities are sufficiently large, we observe parametric amplification of the localized disturbances along quantized vortex filaments, akin to the Donnelly-Glaberson instability for regular Kelvin waves. As the waves amplify they will eventually cause breakdown of the LIA assumption (and perhaps the vortex filament itself), and we derive a characteristic time for which this breakdown occurs under our model. More complicated localized waves are shown to occur, and we study these asymptotically and through numerical simulations. Such solutions still exhibit parametric amplification for large enough normal fluid velocities, although this amplification may be less uniform than would be seen for more regular filaments such as those corresponding to helical curves. We find that large rotational velocities or large wave speeds of nonlinear waves along the filaments will result in more regular and stable structures, while small rotational velocities and wave speeds will permit far less regular dynamics.
date: 2016-03
publisher: American Physical Society (APS)
official_url: https://doi.org/10.1103/physreve.93.032218
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1880385
doi: 10.1103/physreve.93.032218
lyricists_name: Shah, Rehan
lyricists_id: RSHAH54
actors_name: Shah, Rehan
actors_id: RSHAH54
actors_role: owner
full_text_status: public
publication: Physical Review E
volume: 93
number: 3
article_number: 032218
citation:        Shah, R;    Van Gorder, RA;      (2016)    Localized nonlinear waves on quantized superfluid vortex filaments in the presence of mutual friction and a driving normal fluid flow.                   Physical Review E , 93  (3)    , Article 032218.  10.1103/physreve.93.032218 <https://doi.org/10.1103/physreve.93.032218>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10132392/1/Localized%20nonlinear%20waves%20on%20quantized%20superfluid%20vortex%20filaments%20in%20the%20presence%20of%20mutual%20friction%20and%20a%20driving%20normal%20fluid%20flow%20by%20Rehan%20Shah%20and%20Robert%20Van%20Gorder%20Final.pdf