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Viscous Dissipation in One-Dimensional Quantum Liquids.

K A Matveev1, M Pustilnik2

  • 1Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.

Physical Review Letters
|August 5, 2017
PubMed
Summary
This summary is machine-generated.

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.

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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.