Ballistic transport is traditionally regarded as a limiting regime for scattering-free energy transfer. Here, we predict a superballistic radiative heat transport regime that surpasses this limit in dilute chains of plasmonic nanoparticles confined within cavities. This anomalous regime exhibits superlinear scaling of the effective thermal conductivity ($\kappa \sim L^{1.5}$) and originates from the amplification of long-range interactions mediated by cavity-guided modes. Our results establish a framework for ultrafast photonic heat transport and open pathways for thermal management, information processing, and energy transfer in quantum and nanoscale systems.

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• Ballistic transport
• Electromagnetic interactions
• Heat radiation
• Thermal conductivity
• Transport phenomena