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- W4387156735 abstract "We consider one dimensional interacting quantum fluids, such as the Lieb Liniger gas. By computing the low temperature limit of its (generalised) hydrodynamics we show how in this limit the gas is well described by a conventional viscous (Navier Stokes) hydrodynamic for density, fluid velocity and the local temperature, and the other generalised temperatures in the case of integrable gases. The dynamic viscosity is proportional to temperature and can be expressed in a universal form only in terms of the emergent Luttinger Liquid parameter K and its compressibility. We show that the heating factor is finite even in the zero temperature limit, which implies that viscous contribution remains relevant also at zero temperatures. Moreover, we find that in the semi classical limit of small couplings, kinematic viscosity diverges, reconciling with previous observations of Kardar Parisi Zhang fluctuations in mean field quantum fluids." @default.
- W4387156735 created "2023-09-30" @default.
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- W4387156735 date "2023-09-25" @default.
- W4387156735 modified "2023-09-30" @default.
- W4387156735 title "Navier-Stokes equations for low-temperature one-dimensional fluids" @default.
- W4387156735 doi "https://doi.org/10.48550/arxiv.2309.14476" @default.
- W4387156735 hasPublicationYear "2023" @default.
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