We develop a nonlinear defect theory of thermalization in multimode nonlinear photonic circuits. Such systems are well described by an optical thermodynamic theory that posits the thermal- ization of multimoded nonlinear optical systems to a Rayleigh-Jeans (RJ) equilibrium. We show that a single nonlinear defect can thermalize an initial excitation towards a RJ state in complex multimoded systems. The thermalization can be hindered by disorder-induced localization phe- nomena which drive the system into a metastable RJ state. It involves only a (quasi-)isolated set of prethermal modes and can differ dramatically from the thermal RJ. We develop a Renormal- ization Group Theory that predicts the density of prethermal modes and we derive the modal relaxation rate distribution, establishing non-trivial analogies with the Thouless conductance. Our results are relevant to photonics, optomechanics, and cold atoms.
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