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A note on generalized hydrodynamics: inhomogeneous fields and other concepts
Open accessAbstract
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.
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Cites
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Cited by
Finite-temperature transport in one-dimensional quantum lattice models
Bertini, B., Heidrich-Meisner, F., Karrasch, C., Prosen, T., Steinigeweg, R., & Žnidarič, M. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025003 · Cited by 398
Hydrodynamic Diffusion in Integrable Systems
De Nardis, J., Bernard, D., & Doyon, B. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.160603 · Cited by 331
Self-citationGeneralized Hydrodynamics on an Atom Chip
Schemmer, M., Bouchoule, I., Doyon, B., & Dubail, J. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.090601 · Cited by 331
Self-citationBethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Metadata
- Authors
- Doyon, B., & Yoshimura, T.
- Venue
- SciPost Physics
- Publisher
- Stichting SciPost
- Published
- 2017-04-22
- Volume
- 2
- Issue
- 2
- ISSN
- 2542-4653 (ISSN-L)
- OpenAlex
- W2558444992
- Cited by
- 175
- References
- 1
- FWCI
- 11.87
- Type
- journal article
- Language
- en
- Open access
- diamond
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