Super-Hydrodynamic Limit in Interacting Particle Systems

@article{Carinci2014SuperHydrodynamicLI,
  title={Super-Hydrodynamic Limit in Interacting Particle Systems},
  author={Gioia Carinci and A. L. De Masi and Cristian Giardin{\`a} and Errico Presutti},
  journal={Journal of Statistical Physics},
  year={2014},
  volume={155},
  pages={867-887}
}
  • Gioia Carinci, A. L. De Masi, +1 author Errico Presutti
  • Published 2014
  • Physics, Mathematics
  • Journal of Statistical Physics
  • This paper is a follow-up of the work initiated in (Arab J Math, 2014), where we investigated the hydrodynamic limit of symmetric independent random walkers with birth at the origin and death at the rightmost occupied site. Here we obtain two further results: first we characterize the stationary states on the hydrodynamic time scale as a family of linear macroscopic profiles parameterized by their mass. Then we prove that beyond hydrodynamics there exists a longer time scale where the evolution… CONTINUE READING
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