Extreme First-Passage Time of Many Interacting Particles
The paper studies how many interacting Brownian particles find a target for the first time. It shows that interactions generally keep the extreme first-passage time scaling at a logarithmic rate, $1/ ext{ln } N$. However, it identifies specific interaction mechanisms—like coherent drift or stochastic kicks—that can break this limit and allow for faster acceleration, reaching limits like $N-p$ or $(Nq ext{ ln } N)^{-1}$ under certain conditions.