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    Anisotropy can make a moving active fluid membrane rough or crumpled

    Debayan Jana1,*, Astik Haldar2,†, and Abhik Basu1,3,‡

    • *Contact author: debayanjana96@gmail.com
    • †Contact author: astik.haldar@gmail.com
    • ‡Contact author: abhik.123@gmail.com, abhik.basu@saha.ac.in

    Phys. Rev. E 114, 034113 – Published 10 September, 2026

    DOI: https://doi.org/10.1103/k2xn-fm52

    Abstract

    We present a hydrodynamic theory of anisotropic and inversion-asymmetric moving active permeable fluid membranes. These are described by an anisotropic Kardar-Parisi-Zhang equation. Depending upon the anisotropy parameters, the membrane is either effectively isotropic and algebraically rough with translational short, but orientational long-range order, or unstable, suggestive of membrane crumpling.

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