Solitons in superfluid 4He films

Sadao Nakajimia, Susumu Kurihara, Kiyoshi Tohdoh

研究成果: Article査読

16 被引用数 (Scopus)

抄録

The Korteweg-de Vries (KdV) equation is derived from Landau two-fluid hydrodynamics applied to the thickness oscillation of the superfluid 4He film at low temperatures, where the main restoring force is van der Waals attraction from the substrate and the thermomechanical force due to phonons is a small correction. Since the usual third-sound generators and detectors are far wider than the individual solitons, the asymptotic solution of the KdV equation provided by the inverse scattering method is coarse-grained by regarding it as a continuous train of sharp pulses. The envelope so obtained still shows a singular front proportional to (t-t0)-1/2, where t0 is the arrival time of the fastest soliton, and should therefore be observable with the appropriate experimental arrangement.

本文言語English
ページ(範囲)465-475
ページ数11
ジャーナルJournal of Low Temperature Physics
39
5-6
DOI
出版ステータスPublished - 1980 6
外部発表はい

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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