2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148680We study the flux noise in Josephson junction arrays in the critical regime above the Berezinskii-Kosterlitz-Thouless transition. In proximity coupled arrays a local ohmic damping for the phases is relevant, giving rise to anomalous vortex diffusion and a dynamic scaling of the flux noise in the critical region. It shows a crossover from white to $1/f$-noise at a frequency $ω_ξ\proptoξ^{-z}$ with a dynamic exponent $z=2$.Revised version to be published in JETP LettersSuperconductivityStatistical Mechanicstext