Ask a Question

Prefer a chat interface with context about you and your work?

Mean-field limit of 2D stationary particle systems with signed Coulombian interactions

Mean-field limit of 2D stationary particle systems with signed Coulombian interactions

We study the mean-field limits of critical points of interaction energies with Coulombian singularity. An important feature of our setting is that we allow interaction between particles of opposite signs. Particles of opposite signs attract each other whereas particles of the same signs repel each other. In 2D, we prove …