Critical behavior of liquid 4He at negative pressures

C. E. Campbell, R. Folk, E. Krotscheck

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29 Scopus citations

Abstract

We examine the equation of state of liquid 4He at negative pressures close to the spinodal density ρs where the hydrodynamic speed of sound vanishes. The non-analytic behavior of the equation of state and the speed of sound in the vicinity of the spinodal density are calculated in two and in three dimensions; we find for the speed of sound the non-analytic behavior mcs2 ∼ (ρ-ρs)2/5 in three dimensions and mcs2 ∼ [(ρ-ρs)/|ln(ρ-ρs)|]1/2 in two dimensions. We then examine the low density regime numerically, using a semi-analytic microscopic theory. It is found that non-analytic exponents are visible only in a negligible density regime around the spinodal point. Estimates for the spinodal densities, and the range of critical fluctuations are provided.

Original languageEnglish (US)
Pages (from-to)13-36
Number of pages24
JournalJournal of Low Temperature Physics
Volume105
Issue number1-2
DOIs
StatePublished - Jan 1 1996

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