The Vlasov-Poisson Dynamics as the Mean Field Limit of Extended Charges

@article{Lazarovici2016TheVD,
  title={The Vlasov-Poisson Dynamics as the Mean Field Limit of Extended Charges},
  author={Dustin Lazarovici},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={347},
  pages={271-289}
}
  • Dustin Lazarovici
  • Published 2016
  • Physics, Mathematics
  • The paper treats the validity problem of the nonrelativistic Vlasov-Poisson equation in $${d \geq 2}$$d≥2 dimensions. It is shown that the Vlasov-Poisson dynamics can be derived as a combined mean field and point-particle limit of an N-particle Coulomb system of extended charges. This requires a sufficiently fast convergence of the initial empirical distributions. If the electron radius decreases slower than $${N^{-{\frac{1}{d(d+2)}}}}$$N-1d(d+2), the corresponding initial configurations are… CONTINUE READING

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