# Thermalization of Isolated Harmonic Networks Under Conservative Noise

@article{Lepri2022ThermalizationOI, title={Thermalization of Isolated Harmonic Networks Under Conservative Noise}, author={Stefano Lepri}, journal={Journal of Statistical Physics}, year={2022}, volume={190}, pages={1-29} }

We study a scalar harmonic network with pair interactions and a binary collision rule, exchanging the momenta of a randomly-chosen couple of sites. We consider the case of the isolated network where the total energy is conserved. In the first part, we recast the dynamics as a stochastic map in normal modes (or action-angle) coordinates and provide a geometric interpretation of it. We formulate the problem for generic networks but, for completeness, also reconsider the translation-invariant…

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