4 papers
Triad phase dynamics determine cascade direction in two-dimensional turbulence
Santiago J. Benavides, Miguel D. Bustamante
Despite their importance in turbulence theory, a unifying and predictive rule determining the direction of the cascades of conserved quantities is lacking. In this work, we show th…
(3+1)-dimensional compressible fluid as a (4+1)-dimensional Chern-Simons system
Miguel D. Bustamante, Laura Andrianopoli, Mario Trigiante +1
A fluid described by an Abelian Chern-Simons action principle in 4+1 dimensions is considered. Letting 3+1 dimensions correspond to the usual space and time, and assuming the field…
Phase dynamics and their role determining energy flux in hydrodynamic shell models
Santiago J. Benavides, Miguel D. Bustamante
The transfer of energy and other conserved quantities across scales, also known as flux or spectral flux, is a central aspect of out-of-equilibrium systems such as turbulent hydrod…
On the role of 5-wave resonances in the nonlinear dynamics of the Fermi-Pasta-Ulam-Tsingou lattice
Tiziana Comito, Matteo Lotriglia, Miguel D. Bustamante
We study the dynamics of the Fermi-Pasta-Ulam-Tsingou lattice (FPUT lattice, for short) for an arbitrary number of interacting particles, in regimes of small enough non…