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About me
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The rate of diapycnal mixing, largely due to internal-wave breaking, is a key ingredient to understanding upwelling and horizontal circulation in the abyssal ocean. We work on developing a first-principles analysis of the downscale energy flux in the internal wave field, with the aim of providing a solid theoretical background to the finescale parameterizations that are used to include the effects of internal waves in the Global Circulation Models.
The theory of interacting waves finds ubiquitous application in nature, from the planetary scales down to the scales of a millimeter-long carbon nanotube, where thermal conduction is due to interactions of reticular oscillations known as phonons. I have conducted recent investigations that are shedding new light on the anomalous thermal conduction properties of low-dimensional particle lattices.
The field has been devoted increasing attention in the past fiew years in the effort to prove rigorously the validity of the wave kinetic equation, which describes the energy transfers between different scales in wave systems, via nonlinear resonant interaction. Since my MSc thesis, I have worked on derivations in wave kinetic theory using diagrammatic techniques, obtaining original results on the preservation of chaos for four-wave systems.
During my PhD I have developed a method based on large deviation theory and numerical optimization in order to explain the formation of oceanic rogue waves. The resulting method for extreme events that we have formalized paves the way for applications of large deviation theory in wave systems and in generic deterministic systems supplemented with random initial conditions and/or parameters. This project resulted in publications in PNAS and PRX, and was featured in popular science venues such as Scientific American, Quanta Magazine and the Physics magazine of the APS.
Published in Comput. Methods Sci. Technol., 2016
Recommended citation: Rondoni, L. and Dematteis, G., 2016. Physical ergodicity and exact response relations for low-dimensional maps. Comput. Methods Sci. Technol, 22, p.71. https://cmst.eu/wp-content/uploads/files/10.12921_cmst.2016.22.02.002_Dematteis.pdf
Published in Physical Review E, 2017
Recommended citation: Chibbaro, S., Dematteis, G., Josserand, C. and Rondoni, L., 2017. Wave-turbulence theory of four-wave nonlinear interactions. Physical Review E, 96(2), p.021101. https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.021101
Published in Physica D, 2018
Recommended citation: Chibbaro, S., Dematteis, G. and Rondoni, L., 2018. 4-wave dynamics in kinetic wave turbulence. Physica D: Nonlinear Phenomena, 362, pp.24-59. https://arxiv.org/pdf/1611.08030.pdf
Published in Proceedings of the National Academy of Sciences, 2018
Recommended citation: Dematteis, G., Grafke, T. and Vanden-Eijnden, E., 2018. Rogue waves and large deviations in deep sea. Proceedings of the National Academy of Sciences, 115(5), pp.855-860. https://www.pnas.org/content/pnas/115/5/855.full.pdf
Published in SIAM/ASA Journal of Uncertainty Quantification, 2019
Recommended citation: Dematteis, G., Grafke, T. and Vanden-Eijnden, E., 2019. Extreme event quantification in dynamical systems with random components. SIAM/ASA Journal on Uncertainty Quantification, 7(3), pp.1029-1059. https://epubs.siam.org/doi/10.1137/18M1211003
Published in Physical Review X, 2019
Recommended citation: Dematteis, G., Grafke, T., Onorato, M. and Vanden-Eijnden, E., 2019. Experimental evidence of hydrodynamic instantons: the universal route to rogue waves. Physical Review X, 9(4), p.041057. https://journals.aps.org/prx/abstract/10.1103/PhysRevX.9.041057
Published in Physical Review Letters, 2020
Recommended citation: Dematteis, G., Rondoni, L., Proment, D., De Vita, F. and Onorato, M., 2020. Coexistence of Ballistic and Fourier Regimes in the β Fermi-Pasta-Ulam-Tsingou Lattice. Physical Review Letters, 125(2), p.024101. https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.024101
Published in Journal of Physics Communications, 2020
Recommended citation: Onorato, M. and Dematteis, G., 2020. A straightforward derivation of the four-wave kinetic equation in action-angle variables. Journal of Physics Communications, 4(9), p.095016. https://iopscience.iop.org/article/10.1088/2399-6528/abb4b7/meta
Published in Journal of Fluid Mechanics, 2021
Recommended citation: Dematteis, G. and Lvov, Y.V., 2021. Downscale energy fluxes in scale-invariant oceanic internal wave turbulence. Journal of Fluid Mechanics, 915. https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/abs/downscale-energy-fluxes-in-scaleinvariant-oceanic-internal-wave-turbulence/575CD634A844D7DACF84EBBA9FF5A084
Published in arXiv preprint / under review, 2021
Recommended citation: Dematteis, G., Polzin, K. and Lvov, Y.V., 2021. On the Origins of the Oceanic Ultraviolet Catastrophe. arXiv preprint arXiv:2106.02572. https://arxiv.org/abs/2106.02572
Published in Physical Review E, 2022
Recommended citation: Onorato, M., Dematteis, G., Proment, D., Pezzi, A., Ballarin, M. and Rondoni, L., 2022. Equilibrium and nonequilibrium description of negative temperature states in a one-dimensional lattice using a wave kinetic approach. Physical Review E, 105(1), p.014206. https://journals.aps.org/pre/abstract/10.1103/PhysRevE.105.014206
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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