Viscous Dissipation in One-Dimensional Quantum Liquids

Matveev, K. A.; Pustilnik, M.

doi:10.1103/PhysRevLett.119.036801

Title: Viscous Dissipation in One-Dimensional Quantum Liquids

Journal Article · Thu Jul 20 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.119.036801· OSTI ID:1393190

Matveev, K. A. ^[1]; Pustilnik, M. ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics

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.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences and Engineering Division; USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1393190

Alternate ID(s):: OSTI ID: 1372133

Journal Information:: Physical Review Letters, Vol. 119, Issue 3; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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