TY - JOUR
T1 - Energy Spectrum of Two-Dimensional Acoustic Turbulence
AU - Griffin, Adam
AU - Krstulovic, Giorgio
AU - L’vov, Victor S.
AU - Lvov, Victor
AU - Nazarenko, Sergey
PY - 2022/6/3
Y1 - 2022/6/3
N2 - We report an exact unique constant-flux power-law analytical solution of the wave kinetic equation for the turbulent energy spectrum, E(k)=C1εacs−−−−√/k, of acoustic waves in 2D with almost linear dispersion law, ωk=csk[1+(ak)2], ak≪1. Here ε 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 (BECs). 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.
AB - We report an exact unique constant-flux power-law analytical solution of the wave kinetic equation for the turbulent energy spectrum, E(k)=C1εacs−−−−√/k, of acoustic waves in 2D with almost linear dispersion law, ωk=csk[1+(ak)2], ak≪1. Here ε 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 (BECs). 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.
U2 - 10.1103/PhysRevLett.128.224501
DO - 10.1103/PhysRevLett.128.224501
M3 - Article
SN - 0031-9007
VL - 128
JO - Physical review letters
JF - Physical review letters
IS - 22
M1 - 224501
ER -