42 citations · 62 across the 5 of their papers we have counts for
6 papers
Super-relaxation of space-time-quantized ensemble of energy loads to curtail their synchronization after demand response perturbation
Ilia Luchnikov, David Métivier, Henni Ouerdane +1
Ensembles of thermostatically controlled loads (TCL) provide a significant demand response reserve for the system operator to balance power grids. However, this also results in the…
Efficient Polynomial Chaos Expansion for Uncertainty Quantification in Power Systems
David Métivier, Marc Vuffray, Sidhant Misra
Growing uncertainty from renewable energy integration and distributed energy resources motivate the need for advanced tools to quantify the effect of uncertainty and assess the ris…
Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops
David Métivier, Lucas Wetzel, Shamik Gupta
We consider the inertial Kuramoto model of globally coupled oscillators characterized by both their phase and angular velocity, in which there is a time delay in the interactio…
Towards a measurement of the Debye length in very large Magneto-Optical traps
Julien Barré, Robin Kaiser, Guillaume Labeyrie +2
We propose different experimental methods to measure the analog of the Debye length in a very large Magneto-Optical Trap, which should characterize the spatial correlations in the…
Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion
Julien Barré, David Métivier
We investigate the dynamics close to a homogeneous stationary state of Vlasov equation in one dimension, in presence of a small dissipation modeled by a Fokker-Planck operator. Whe…
Spreading of Perturbations in Long-Range Interacting Classical Lattice Models
David Métivier, Romain Bachelard, Michael Kastner
Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for inte…