AI Article Synopsis
- - The paper proposes a unique set of variables to derive a kinetic equation for energy density in nonisotropic systems, focusing on internal gravity waves and other wave types.
- - A second quadratic invariant is identified, simplifying the kinetic equation and resulting in additional conservation laws for resonant interactions.
- - The research reveals an inverse energy cascade for internal gravity waves, indicating that energy moves from smaller scales to larger scales in real-world situations.
Article Abstract
We highlight a noncanonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in nonisotropic systems, including internal gravity waves on a vertical plane, inertial, and Rossby waves. The existence of a second quadratic invariant simplifies the kinetic equation and leads to extra conservation laws for resonant interactions. We analytically determine the scaling of the radial turbulent energy spectrum. Our findings suggest the existence of an inverse energy cascade of internal gravity waves, from small to large scales, in practically relevant scenarios.
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| http://dx.doi.org/10.1103/PhysRevLett.133.014001 | DOI Listing |
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