• Corpus ID: 239010024

Mean-field limit for particle systems with topological interactions

@inproceedings{Benedetto2021MeanfieldLF,
  title={Mean-field limit for particle systems with topological interactions},
  author={Dario Benedetto and Emanuele Caglioti and Stefano De Rossi},
  year={2021}
}
Many interesting physical systems can be described at the microscopic level as particle dynamics and at the mesoscopic level with kinetic equations. In the wide field of two-body interactions, the link between these two regimes is mathematically well understood in the case of the mean-field limit, i.e. when the density of the particles diverges with their number N , the mean free path vanishes as 1{N and the interaction intensity scales with 1{N . In this limit, each particle feels the… 

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