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    Surface Wakes on Ultrasoft Solids

    Aditi Chakrabarti1,*,†, Divya Jaganathan1,†, Robert Haussman1, and L. Mahadevan1,2,‡

    • 1School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
    • 2Departments of Physics and Organismic and Evolutionary Biology, Harvard University, Cambridge, Massachusetts 02138, USA

    • *Present address: Schlumberger-Doll Research, Cambridge, Massachusetts 02139, USA.
    • †These authors contributed equally to this work.
    • ‡Contact author: lmahadev@g.harvard.edu

    Phys. Rev. Lett. 136, 138201 – Published 2 April, 2026

    DOI: https://doi.org/10.1103/lvvp-8pll

    Abstract

    We explore the dynamical response of the free surface of an ultrasoft solid driven by a localized moving pressure disturbance. Experiments reveal a steady V-shaped wake analogous to a surface Mach wedge. A simple geometric argument provides a qualitative explanation consistent with observations. A theoretical framework combining elastodynamic, capillary, and gravitational effects yields a generalized dispersion relation that smoothly interpolates between Kelvin’s theory of liquid interface wakes and Rayleigh’s theory of elastic surface waves. Our analysis explains the observed Mach-like behavior quantitatively while also emphasizing how elastodynamic effects can generate effective damping through radiative leakage. Together, our experiments and theory reveal the existence of a new regime that bridges fluid and solid surface-wave physics, offering new routes for probing the dynamics of soft interfaces.

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