# Diffusive hydrodynamics of inhomogenous Hamiltonians

@article{Durnin2021DiffusiveHO, title={Diffusive hydrodynamics of inhomogenous Hamiltonians}, author={Joseph Durnin and Andrea De Luca and Jacopo de Nardis and Benjamin Doyon}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={54} }

We derive a large-scale hydrodynamic equation, including diffusive and dissipative effects, for systems with generic static position-dependent driving forces coupling to local conserved quantities. We show that this equation predicts entropy increase and thermal states as the only stationary states. The equation applies to any hydrodynamic system with any number of local, parity and time-symmetric conserved quantities, in arbitrary dimension. It is fully expressed in terms of elements of an… Expand

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