Time:15:00-15:50, Thursday, March 27 2025
Venue:E4-233
Speaker: Tadahisa Funaki, BIMSA
Title:Phase separation and curvature flow in particle system
Abstract: We consider an interacting particle system called Glauber-Kawasaki dynamics. Kawasaki part describes the motion of particles performing random walks while Glauber part describes the creation and annihilation of particles. Choosing the speeds of these dynamics properly, one can observe a phase separation of particles into sparse and dense phases at microscopic level. Under the macroscopic scaling limit, one can derive anisotropic curvature flow for the interface separating two phases. One can also discuss the fluctuation of the interface. The talk is based on joint work with Chenlin Gu (Tsinghua), Han Wang (Tsinghua), Hyunjoon Park (Meiji), Claudio Landim (IMPA) and Sunder Sethuraman (Arizona), arXiv:2403.01732, arXiv:2404.12234, arXiv:2404.18364, arXiv:2412.00708, arXiv:2412.04015.