Self-organization in H4 e near the superfluid transition in heat flow and gravity

Syunsuke Yabunaka, Akira Onuki

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3 Citations (Scopus)


We investigate the nonlinear dynamics of H4 e slightly below the superfluid transition by integrating model F equations in three dimensions. When a superfluid is heated from above under gravity, a vortex tangle and sheetlike phase slips both appear near the bottom plate. Then a self-organized superfluid containing high-density vortices and phase slips grows upward, where high-amplitude second sounds are emitted from the self-organized to the ordinary superfluid region. A phase slip sheet often changes into a vortex aggregate and vice versa. The thermal resistance due to these defects produces a constant temperature gradient equal to the gradient of the pressure-dependent transition temperature Tλ (p). In this self-organized region, the temperature deviation T- Tλ (p) consists of a negative constant determined by the heat flux Q and time-dependent fluctuations. Its time average is calculated to be 155 nK for Q=11.2 erg/ cm2 s in good agreement with the experiment.

Original languageEnglish
Article number024501
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - Jul 1 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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