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    Critical disorder inflating thermal relaxation in nonlinear multimoded systems

    Emily Kabat1, Alba Y. Ramos1,2,*, Lucas J. Fernández-Alcázar1,2, and Tsampikos Kottos1

    • *albayramos@exa.unne.edu.ar

    Phys. Rev. A 112, 023521 – Published 28 August, 2025

    DOI: https://doi.org/10.1103/xqyx-g3tn

    Abstract

    We establish a connection between the thermal relaxation rate of optical beams in weakly nonlinear multimoded systems and the spatial correlations among the system's linear supermodes. We implement this methodology for tailored network arrangements supporting various spatial mode profiles. For critical disorder configurations giving rise to metal-insulator transitions, fractal supermodes extremize the correlations, inflating the relaxation rates. Our results inform a design of the physical platforms (their topology, disorder, etc.) supporting targeted relaxation rates.

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