The scaling limit of a particle system with long-range interaction

Abstract

We describe the macroscopic behaviour of a particle system with long-range interactions. We describe conditions on the interaction strength in dependency of the distance of the particles, such that the scaling limit of the particle system is a well-posed stochastic PDE.

28 pages. Comments welcome

References in corpus (3)

• Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond
• Metastability in Interacting Nonlinear Stochastic Differential Equations I: From Weak Coupling to Synchronisation
• Large Fluctuations, Classical Activation, Quantum Tunneling, and Phase Transitions