In weakly nonlinear lattices, exact multi-phonon resonances can form fully connected networks yet arrest at nonthermal zero-flux states, so complete thermalization must come from quasi-resonances.
Lindsay, Nanoscale and Microscale Thermophysical Engineering20, 67 (2016)
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Exact Resonances Are Not Sufficient for Phonon Energy Diffusion
In weakly nonlinear lattices, exact multi-phonon resonances can form fully connected networks yet arrest at nonthermal zero-flux states, so complete thermalization must come from quasi-resonances.