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Collapse of a nanoscopic void triggered by a spherically symmetric traveling sound wave

Robert Hołyst^*, Marek Litniewski^†, and Piotr Garstecki

Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland

^*rholyst@ichf.edu.pl
^†mark@ichf.edu.pl

Phys. Rev. E 85, 056303 – Published 14 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.056303

Abstract

Molecular-dynamics simulations of the Lennard-Jones fluid (up to 10 $^{7}$ atoms) are used to analyze the collapse of a nanoscopic bubble. The collapse is triggered by a traveling sound wave that forms a shock wave at the interface. The peak temperature $T_{\max}$ in the focal point of the collapse is approximately $Σ R_{0}^{a}$ , where $Σ$ is the surface density of energy injected at the boundary of the container of radius $R_{0}$ and $α$ ≈ 0.4–0.45. For $Σ$ $=$ 1.6 J/m $^{2}$ and $R_{0}$ $=$ 51 nm, the shock wave velocity, which is proportional to $\sqrt{Σ}$ , reaches 3400 m/s (4 times the speed of sound in the liquid); the pressure at the interface, which is proportional to $Σ$ , reaches 10 GPa; and $T_{\max}$ reaches 40 000 K. The Rayleigh-Plesset equation together with the time of the collapse can be used to estimate the pressure at the front of the shock wave.

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Collapse of a nanoscopic void triggered by a spherically symmetric traveling sound wave

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