The attractive log gas: stability, uniqueness, and propagation of chaos

Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty

We consider overdamped Langevin dynamics for the attractive log gas on the torus ${\mathbb{T}}^{\mathsf{d}}$, for $\mathsf{d}\ge 1$. In dimension $\mathsf{d}=2$, this model coincides…