My general research field is theoretical physics with a particular focus on statistical physics of out-of-equilibrium system and nonlinear dynamics.
During my PhD I studied bifurcation in kinetic equations describing that type of systems. Bifurcations in the Vlasov equation (describing for example plasma, self gravitating systems, some cold atom systems) and the Kuramoto model (for coupled oscillators) as well as some "extensions" were the main focus of my PhD.
For my Postdoc I am studying statistical behavior of large aggregates of Thermostatic Constrolled Loads (TCLs), e.g. Air conditionners, Fridges. Basically, we want to improve the resilience of these aggregates by "coupling" the TCLs (in a realistic fashion). The objective being that if these systems are resistant to perturbations, one could use their flexibility and their thermal energy storage for Demand Response.
○ Métivier, Chertkov C. (2018). Mean Field Control for Efficient Mixing of Energy Loads. arXiv:1810.00450.
○ Métivier D., Gupta S. (2018). Bifurcations in the time-delayed Kuramoto model of coupled oscillators: Exact results. arXiv:1808.10436.
○ Métivier, D., Luchnikov I., Chertkov C. (2018). Power of Ensemble Diversity and Randomization for Energy Aggregation. (Accepted in Scientific Reports) arXiv:1808.09555.
○ Barré J., Kaiser R., Labeyrie G., Marcos B., Métivier, D. (2018). Towards a measurement of the Debye length in very large Magneto-Optical traps. arXiv:1808.02098.
○ Barré J., Métivier D. (2018). Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion. Nonlinearity 31 4667; arXiv:1703.01668.
○ Barré J., Métivier D. (2016). Bifurcations and singularities for coupled oscillators with inertia and frustration. Physical Review Letters, 117(21), 214102.; arXiv:1605.02990.
○ Barré J., Métivier D., Yamaguchi Y. Y. (2016). Trapping scaling for bifurcations in the Vlasov systems. Physical Review E, 93(4), 042207.; arXiv:1511.07645
○ Métivier, D., Bachelard, R., Kastner, M. (2014). Spreading of Perturbations in Long-Range Interacting Classical Lattice Models. Physical Review Letters, 112(21), 210601.; arXiv:1405.7556