期刊
PHYSICAL REVIEW LETTERS
卷 128, 期 22, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.128.224501
关键词
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资金
- Agence Nationale de la Recherche [ANR-18-CE30-0020-01]
- Simons Foundation [651471]
- NSF-BSF [2020765]
- Agence Nationale de la Recherche (ANR) [ANR-18-CE30-0020] Funding Source: Agence Nationale de la Recherche (ANR)
We present an exact unique constant-flux power-law analytical solution for the wave kinetic equation, applicable for ak << 1. Our theory describes acoustic turbulence in 2D Bose-Einstein condensates, and the corresponding spectrum is confirmed through numerical simulations.
We report an exact unique constant-flux power-law analytical solution of the wave kinetic equation for law, ??k = csk[1 + (ak)2], ak << 1. Here, ?? is the energy flux over scales, and C1 is the universal constant which was found analytically. Our theory describes, for example, acoustic turbulence in 2D Bose-Einstein condensates. The corresponding 3D counterpart of turbulent acoustic spectrum was found over half a century ago, however, due to the singularity in 2D, no solution has been obtained until now. We show the spectrum E(k) is realizable in direct numerical simulations of forced-dissipated Gross-Pitaevskii equation in the presence of strong condensate.
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