Hydrodynamics of plastic deformations in electronic crystals

We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion the presence of interstitials vacancies, strain plasticity dislocations. obtain mode spectrum correlation functions various regimes order identify signatures crystal phases. In particular, we show that proliferation dislocations de-pins spatially resolved conductivity until melts, after which point phase pinned liquid emerges. addition, exhibits competition between pinning effects, with damping rate some modes being controlled by pinning-induced plasticity-induced relaxation. find recently discovered damping-attenuation relation continues hold pinned-induced even also comment on experimental setups could probe plasticity. developed here is applicable large class physical systems including Wigner crystals, multicomponent charge density waves, ordinary