113 citations · 307 across the 17 of their papers we have counts for
20 papers
Resonant interactions in the -FPUT lattice with site-dependent coefficients
Lorenzo Migliorelli, Giovanni Dematteis, Sergio Chibbaro +1
The wave turbulence framework has proven to be an effective tool for analyzing certain features of nonlinear energy transfer in one-dimensional nonlinear chains. In this work, we e…
Revealing wave-wave resonant interactions in ocean wind waves
Davide Maestrini, Giovanni Dematteis, Alvise Benetazzo +1
Ocean wind waves are a fundamental manifestation of complex dynamics in geophysical fluid systems, characterized by a rich interplay between dispersion and nonlinearity. While line…
Mesoscale Eddy -- Internal Wave Coupling. III. The End of the Enstrophy Cascade and Maintenance of Gyre Scale Potential Vorticity Gradients
Kurt L. Polzin, Giovanni Dematteis
We assess a prognostic formulation of triple coherence relating to energy exchange between mesoscale eddies and the internal wavefield and compare with observations from the Sargas…
On the Wave Kinetic Equation in the presence of forcing and dissipation
Davide Maestrini, Daniele Noto, Giovanni Dematteis +1
The wave kinetic equation has become an important tool in different fields of physics. In particular, for surface gravity waves, it is the backbone of wave forecasting models. Its…
Spectral Transfers of Sign-Definite Invariants in Wave Turbulence
Nicholas R. Salvatore, Giovanni Dematteis, Yuri V. Lvov
We consider the spectral transfers of sign-definite invariants in general wave turbulence systems equipped with a wave kinetic equation. We develop a formalism to investigate and t…
Anomalous correlators, negative frequencies and non-phase-invariant Hamiltonians in random waves
Alberto Villois, Giovanni Dematteis, Yuri V. Lvov +2
We investigate a generic non-phase invariant Hamiltonian model that governs the dynamics of nonlinear dispersive waves. We give evidence that initial data characterized by random p…
Interacting internal waves explain global patterns of interior ocean mixing
Giovanni Dematteis, Arnaud Le Boyer, Friederike Pollmann +4
Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwe…
Wave Turbulence and thermalization in one-dimensional chains
Miguel Onorato, Yuri V. Lvov, Giovanni Dematteis +1
One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. T…
The Structure of Energy Fluxes in Wave Turbulence
Giovanni Dematteis, Yuri V. Lvov
We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the propert…
Anomalous conduction and second sound in the Fermi-Pasta-Ulam-Tsingou chain: wave-turbulence approach
Francesco De Vita, Giovanni Dematteis, Raffaele Mazzilli +3
One-dimensional particle chains are fundamental models to explain anomalous thermal conduction in low-dimensional solids like nanotubes and nanowires. In these systems the thermal…
On the Origins of the Oceanic Ultraviolet Catastrophe
Giovanni Dematteis, Kurt L. Polzin, Yuri V. Lvov
We provide a first-principles analysis of the energy fluxes in the oceanic internal wavefield. The resulting formula is remarkably similar to the renowned phenomenological formula…
Negative temperature states as exact equilibrium solutions of the Wave Kinetic equation for one dimensional lattices
M. Onorato, G. Dematteis, D. Proment +3
We predict negative temperature states in the Discrete Nonlinear Schödinger equation as exact solutions of the associated Wave Kinetic equation. Those solutions are consistent with…
Downscale energy fluxes in scale invariant oceanic internal wave turbulence
Giovanni Dematteis, Yuri V. Lvov
We analyze analytically and numerically the scale invariant stationary solution to the internal wave kinetic equation. Our analysis of the resonant energy transfers shows that the…
Coexistence of ballistic and Fourier regimes in the -FPUT lattice
Giovanni Dematteis, Lamberto Rondoni, Davide Proment +2
Commonly, thermal transport properties of one-dimensional systems are found to be anomalous. Here, we perform a numerical and theoretical study of the -FPUT chain, considered a…
Derivation of the Four-Wave Kinetic Equation in Action-Angle Variables
Miguel Onorato, Giovanni Dematteis
Starting from the action-angle variables and using a standard asymptotic expansion, here we present a new derivation of the Wave Kinetic Equation for resonant process of the type $…
Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves
Giovanni Dematteis, Tobias Grafke, Miguel Onorato +1
A statistical theory of rogue waves is proposed and tested against experimental data collected in a long water tank where random waves with different degrees of nonlinearity are me…
Extreme event quantification in dynamical systems with random components
Giovanni Dematteis, Tobias Grafke, Eric Vanden-Eijnden
A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question…
Rogue Waves and Large Deviations in Deep Sea
Giovanni Dematteis, Tobias Grafke, Eric Vanden-Eijnden
The appearance of rogue waves in deep sea is investigated using the modified nonlinear Schrödinger (MNLS) equation in one spatial-dimension with random initial conditions that are…
Wave-Turbulence Theory of four-wave nonlinear interactions
Sergio Chibbaro, Giovanni Dematteis, Christophe Josserand +1
The Sagdeev-Zaslavski (SZ) equation for wave turbulence is analytically derived, both in terms of generating function and of multi-point pdf, for weakly interacting waves with init…
4-wave dynamics in kinetic wave turbulence
Sergio Chibbaro, Giovanni Dematteis, Lamberto Rondoni
A general Hamiltonian wave system with quartic resonances is considered, in the standard kinetic limit of a continuum of weakly interacting dispersive waves with random phases. The…