## Abstract

We examine the equation of state of liquid ^{4}He at negative pressures close to the spinodal density ρ_{s} 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 mc_{s}^{2} ∼ (ρ-ρ_{s})^{2/5} in three dimensions and mc_{s}^{2} ∼ [(ρ-ρ_{s})/|ln(ρ-ρ_{s})|]^{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 language | English (US) |
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Pages (from-to) | 13-36 |

Number of pages | 24 |

Journal | Journal of Low Temperature Physics |

Volume | 105 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 1 1996 |

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