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- W3212971301 abstract "Transport is one of the most important physical processes in all energy and length scales. Ideal gases and hydrodynamics are, respectively, two opposite limits of transport. Here, we present an unexpected mathematical connection between these two limits; that is, there exist situations that the solution to a class of interacting hydrodynamic equations with certain initial conditions can be exactly constructed from the dynamics of noninteracting ideal gases. We analytically provide three such examples. The first two examples focus on scale-invariant systems, which generalize fermionization to the hydrodynamics of strongly interacting systems, and determine specific initial conditions for perfect density oscillations in a harmonic trap. The third example recovers the dark soliton solution in a one-dimensional Bose condensate. The results can explain a recent puzzling experimental observation in ultracold atomic gases by the Paris group and make further predictions for future experiments. We envision that extensive examples of such an ideal-gas approach to hydrodynamics can be found by systematical numerical search, which can find broad applications in different problems in various subfields of physics.Received 3 February 2021Revised 8 August 2021Accepted 28 September 2021DOI:https://doi.org/10.1103/PhysRevX.11.041031Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasBose-Einstein condensatesCold atoms & matter wavesTechniquesBoltzmann theoryHydrodynamicsCondensed Matter, Materials & Applied PhysicsFluid DynamicsAtomic, Molecular & OpticalStatistical Physics" @default.
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- W3212971301 date "2021-11-12" @default.
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- W3212971301 title "Ideal-Gas Approach to Hydrodynamics" @default.
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