Spin diffusion and spin echoes in liquid 3He at low temperature

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Spin diffusion in a degenerate Fermi liquid is studied, taking into account the effects of the 'molecular field' resulting from the interactions between quasiparticles. It is shown that even in the hydrodynamic limit no equation of the conventional form delta M/ delta t=Dgrad 2M exists in general; the true equation is nonlinear and depends on the strength of the interactions. Substantial new effects are therefore predicted when lambda Omega 0 tau D> approximately 1, where Omega 0 is the Larmor frequency, tau D the spin diffusion lifetime and lambda a dimensionless parameter which measures the strength of the molecular field. Specifically, it is predicted that the spin-echo attenuation in a 'phi -180-180' experiment will in general not be exponential and will depend on the external field and the initial pulse angle phi. The new effects should lie in the experimentally accessible region both for pure 3He and for mixtures.

Original languageEnglish (US)
Title of host publicationJ Phys C (Solid State Phys)
Pages448-459
Number of pages12
Volume3
Edition2
DOIs
StatePublished - Feb 1 1970
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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