# Derivation of Euler equations from quantum and classical microscopic dynamics

@article{Hannani2022DerivationOE, title={Derivation of Euler equations from quantum and classical microscopic dynamics}, author={Amirali Hannani and François Huveneers}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2022}, volume={55} }

We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or classical. This chain is an Anderson insulator with a symmetry protected mode: thermal fluctuations are frozen while the low modes ensure the transport of elongation, momentum and mechanical energy, that evolve according to Euler equations in an hyperbolic scaling limit. In this paper, we strengthen considerably the…

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