Monte Carlo Calculations for Liquid $^4$He at Negative Pressure
J. Boronat, J. Casulleras (Universitat Politecnica de Catalunya), and, J. Navarro (Universitat de Valencia)

TL;DR
This paper employs a quadratic diffusion Monte Carlo method to accurately compute the equation of state of liquid helium-4 at negative pressures, including the spinodal point, and analyzes sound velocity behavior near this limit.
Contribution
It introduces an improved Monte Carlo approach with a refined Aziz potential to study liquid helium-4 under negative pressure conditions, extending previous work to the spinodal region.
Findings
Determined the spinodal pressure of liquid helium-4.
Analyzed the sound velocity near the spinodal density.
Validated the Aziz potential's accuracy in reproducing experimental data.
Abstract
A Quadratic Diffusion Monte Carlo method has been used to obtain the equation of state of liquid He including the negative pressure region down to the spinodal point. The atomic interaction used is a renewed version (HFD-B(HE)) of the Aziz potential, which reproduces quite accurately the features of the experimental equation of state. The spinodal pressure has been calculated and the behavior of the sound velociy around the spinodal density has been analyzed.
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