5 papers · 1 filter
Spectral gaps for mean-field Coulomb gases
Simon Becker, Angeliki Menegaki
We prove a Poincaré inequality, uniform in the particle number, for repulsive (one-component) Coulomb gases in dimensions , with inverse temperature that is allowed to…
A review on the kinetic theory of oscillator chains
Pierre Germain, Joonhyun La, Angeliki Menegaki
We review the kinetic theory of one-dimensional nonlinear oscillator chains, of which the most famous example is the Fermi-Pasta-Ulam-Tsingou equation. We provide detailed, though…
The optimal spectral gap for regular and disordered harmonic networks of oscillators
Simon Becker, Angeliki Menegaki
We consider one-dimensional chains and multi-dimensional networks of harmonic oscillators coupled to two Langevin heat reservoirs at different temperatures. Each particle interacts…
Quantitative Rates of Convergence to Non-Equilibrium Steady State for a Weakly Anharmonic Chain of Oscillators
Angeliki Menegaki
We study a -dimensional chain of weakly anharmonic classical oscillators coupled at its ends to heat baths at different temperatures. Each oscillator is subject to pinning p…
Spectral gap in mean-field -model
Simon Becker, Angeliki Menegaki
We study the dependence of the spectral gap for the generator of the Ginzburg-Landau dynamics for all \emph{-models} with mean-field interaction and magnetic field,…