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PreprintarXiv licencearXiv

How universal are warm turbulent cascades?

  • Ben Y. Israeli
  • Gregory Falkovich
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Abstract

It is often assumed that general stationary solutions to the wave kinetic equation are described solely by conserved fluxes and temperature. The families of solutions parameterized by these quantities are referred to as warm cascades, and are derivable from differential models of wave kinetics. These models rely on the assumption of local interactions, and we demonstrate by a time scale argument that the nonlocal effect of thermal damping on the cascade may result in dependence on an additional parameter, the UV cutoff, calling into question the validity of warm cascade solutions. This is shown for systems with both three-wave and four-wave interactions. We then consider the depletion of the cascade by this damping, and present a numerical demonstration of this nonlocal and nonuniversal behavior.

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Cite

BibTeXRIS
BibTeX
@misc{israeli2026universal,
  title = {{How universal are warm turbulent cascades?}},
  author = {Ben Y. Israeli and Gregory Falkovich},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19432},
  eprint = {2609.19432},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19432},
}
RIS
TY  - UNPB
TI  - How universal are warm turbulent cascades?
AU  - Ben Y. Israeli
AU  - Gregory Falkovich
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.19432
UR  - https://arxiv.org/abs/2609.19432
AB  - It is often assumed that general stationary solutions to the wave kinetic equation are described solely by conserved fluxes and temperature. The families of solutions parameterized by these quantities are referred to as warm cascades, and are derivable from differential models of wave kinetics. These models rely on the assumption of local interactions, and we demonstrate by a time scale argument that the nonlocal effect of thermal damping on the cascade may result in dependence on an additional parameter, the UV cutoff, calling into question the validity of warm cascade solutions. This is shown for systems with both three-wave and four-wave interactions. We then consider the depletion of the cascade by this damping, and present a numerical demonstration of this nonlocal and nonuniversal behavior.
ER  -