A note on generalized hydrodynamics: inhomogeneous fields and other concepts
By B. Doyon, T. Yoshimura. 2016
148 citations recorded by the source corpus.
Generalized hydrodynamics (GHD) was proposed recently as a formulation of hydrodynamics for integrable systems, taking into account infinitely-many conservation laws. In this note we further develop the theory in various directions. By extending GHD to all commuting flows of the integrable model, we provide a full description of how to take into account weakly varying force fields, temperature fields and other inhomogeneous external fields within GHD. We expect this can be used, for instance, to characterize the non-equilibrium dynamics of one-dimensional Bose gases in trap potentials. We further show how the equations of state at the core of GHD follow from the continuity relation for entropy, and we show how to recover Euler-like equations and discuss possible viscosity terms.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/14c05d72f99b3568a8a3147df4a2fc42463be28a
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In Applied Mathematics
In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Diffusion in generalized hydrodynamics and quasiparticle scattering (2018, background): “At Euler scale the local entropy s(x , t) satisfies a continuity equation [149, 150], namely ∂ts+ ∂x j (1) s = 0 , (5.”
- Drude Weight for the Lieb-Liniger Bose Gas (2017, methodology): “For these models the Euler-type conservation equations have been derived, including force terms produced by external fields such as those from confining potentials [11].”
- Lecture notes on Generalised Hydrodynamics (2019, background): “It turns out that this force term can be written explicitly [39], although the calculation is quite involved, and I don’t have a simple, direct argument leading to it.”