Fast-reaction limit for Glauber-Kawasaki dynamics with two components

@article{Masi2019FastreactionLF,
  title={Fast-reaction limit for Glauber-Kawasaki dynamics with two components},
  author={A. Masi and T. Funaki and E. Presutti and M. Vares},
  journal={arXiv: Probability},
  year={2019}
}
We consider the Kawasaki dynamics of two types of particles under a killing effect on a $d$-dimensional square lattice. Particles move with possibly different jump rates depending on their types. The killing effect acts when particles of different types meet at the same site. We show the existence of a limit under the diffusive space-time scaling and suitably growing killing rate: segregation of distinct types of particles does occur, and the evolution of the interface between the two distinct… Expand
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