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Shock-compression-based equation of state for perfluorohexane

Anunay Prasanna1,*, Guillaume T. Bokman1, Samuele Fiorini1, Armand Sieber1, Bratislav Lukić2, Daniel Foster2,†, and Outi Supponen1

  • *Contact author: aanunay@ethz.ch
  • †Present address: Spectroscopy and Imaging Division, Soft X-ray Spectroscopy and Imaging Team, Japan Synchrotron Radiation Research Institute (JASRI) SRIS #209, 468-1, Aramaki Aza Aoba, Sendai, Miyagi 980-8572, Japan.

Phys. Rev. E 112, 065101 – Published 1 December, 2025

DOI: https://doi.org/10.1103/999d-nk9z

Abstract

Perfluorohexane is a biocompatible material that serves as a liquid core for acoustically responsive agents in biomedical applications. Despite its relatively widespread usage, there is a lack of experimental data determining its thermodynamic properties. This challenges numerical simulations to predict the acoustic response of agents developed using this material. In this study, we employ the well-established method of shock compression of materials at relatively high pressures (100–400 MPa) to estimate a kinematic equation of state for perfluorohexane. We use multi-objective optimization to obtain the Noble-Abel stiffened-gas equation of state, which is suitable for hydrodynamic numerical simulations. We then apply the extrapolated equation of state to simulate shock-wave propagation within a perfluorohexane droplet showing excellent agreement with equivalent experiments. This promotes the use of numerical simulations as a valuable tool for understanding the complex acoustic interactions involved in these biomedical agents, ultimately facilitating their translation for clinical purposes.

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