Viscous Dissipation in One-Dimensional Quantum Liquids
Abstract
We develop a theory of viscous dissipation in one-dimensional single-component quantum liquids at low temperatures. Such liquids are characterized by a single viscosity coefficient, the bulk viscosity. We show that for a generic interaction between the constituent particles this viscosity diverges in the zerotemperature limit. In the special case of integrable models, the viscosity is infinite at any temperature, which can be interpreted as a breakdown of the hydrodynamic description. In conclusion, our consideration is applicable to all single-component Galilean- invariant one-dimensional quantum liquids, regardless of the statistics of the constituent particles and the interaction strength.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
- Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences and Engineering Division; USDOE
- OSTI Identifier:
- 1393190
- Alternate Identifier(s):
- OSTI ID: 1372133
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 119; Journal Issue: 3; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE
Citation Formats
Matveev, K. A., and Pustilnik, M. Viscous Dissipation in One-Dimensional Quantum Liquids. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.119.036801.
Matveev, K. A., & Pustilnik, M. Viscous Dissipation in One-Dimensional Quantum Liquids. United States. https://doi.org/10.1103/PhysRevLett.119.036801
Matveev, K. A., and Pustilnik, M. Thu .
"Viscous Dissipation in One-Dimensional Quantum Liquids". United States. https://doi.org/10.1103/PhysRevLett.119.036801. https://www.osti.gov/servlets/purl/1393190.
@article{osti_1393190,
title = {Viscous Dissipation in One-Dimensional Quantum Liquids},
author = {Matveev, K. A. and Pustilnik, M.},
abstractNote = {We develop a theory of viscous dissipation in one-dimensional single-component quantum liquids at low temperatures. Such liquids are characterized by a single viscosity coefficient, the bulk viscosity. We show that for a generic interaction between the constituent particles this viscosity diverges in the zerotemperature limit. In the special case of integrable models, the viscosity is infinite at any temperature, which can be interpreted as a breakdown of the hydrodynamic description. In conclusion, our consideration is applicable to all single-component Galilean- invariant one-dimensional quantum liquids, regardless of the statistics of the constituent particles and the interaction strength.},
doi = {10.1103/PhysRevLett.119.036801},
journal = {Physical Review Letters},
number = 3,
volume = 119,
place = {United States},
year = {Thu Jul 20 00:00:00 EDT 2017},
month = {Thu Jul 20 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Entropy production in one-dimensional quantum fluids
journal, October 2019
- Idrisov, Edvin G.; Schmidt, Thomas L.
- Physical Review B, Vol. 100, Issue 16