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Published on: December 4, 2017
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Viscous Dissipation in One-Dimensional Quantum Liquids
1Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.
Physical Review Letters
|August 5, 2017
Summary
We developed a theory for viscous dissipation in one-dimensional quantum liquids. Bulk viscosity diverges at zero temperature for generic interactions, indicating a breakdown of hydrodynamics in integrable models.
Area of Science:
- Condensed Matter Physics
- Quantum Fluids
Background:
- One-dimensional quantum liquids exhibit unique properties at low temperatures.
- Viscous dissipation is crucial for understanding fluid dynamics.
Purpose of the Study:
- To develop a theory for viscous dissipation in 1D single-component quantum liquids.
- To investigate the behavior of bulk viscosity at low temperatures.
Main Methods:
- Theoretical framework for viscous dissipation.
- Analysis of bulk viscosity in the zero-temperature limit.
Main Results:
- Bulk viscosity diverges in the zero-temperature limit for generic interactions.
- Infinite viscosity in integrable models signifies a breakdown of hydrodynamic description.
Conclusions:
- The theory applies to all Galilean-invariant 1D quantum liquids.
- Viscous dissipation in 1D quantum systems reveals non-trivial low-temperature behavior.
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