Abstract
We examine the equation of state of liquid4He 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 mc 2s ∼ (ϱ — ϱs)2/5 in three dimensions and mc 2s ∼[(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.
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Campbell, C.E., Folk, R. & Krotscheck, E. Critical behavior of liquid4He at negative pressures. J Low Temp Phys 105, 13–36 (1996). https://doi.org/10.1007/BF00754626
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DOI: https://doi.org/10.1007/BF00754626