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    Adiabatic Hydrodynamization and Quasinormal Modes of Nonthermal Attractors

    Matisse De Lescluze1,*, Michal P. Heller1,2,†, Aleksas Mazeliauskas3,‡, Bruno Scheihing-Hitschfeld4,§, and Clemens Werthmann1,∥

    • *Contact author: matisse.delescluze@ugent.be
    • †Contact author: michal.p.heller@ugent.be
    • ‡Contact author: a.mazeliauskas@thphys.uni-heidelberg.de
    • §Contact author: bscheihi@kitp.ucsb.edu
    • ∥Contact author: clemens.werthmann@ugent.be

    Phys. Rev. Lett. 137, 082303 – Published 21 August, 2026

    DOI: https://doi.org/10.1103/262r-xh1p

    Abstract

    Nonthermal attractors govern the emergent self-similar dynamics of far-from-equilibrium quantum systems, from ultrarelativistic nuclear collisions to cold-atom experiments. Within the framework of adiabatic hydrodynamization, the approach to a nonthermal attractor is described by the decay of excited states of an effective Hamiltonian. Using an exactly solvable kinetic theory—the longitudinally expanding, overoccupied gluon plasma dominated by small-angle elastic scattering—we establish a direct correspondence between the eigenmodes of adiabatic hydrodynamization and the quasinormal mode spectrum of the nonthermal attractor. This equivalence suggests a general framework for identifying universal dynamical structures in nonequilibrium systems. As a byproduct, we derive analytic prescaling solutions for strongly longitudinally expanding systems.

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