The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field
Elskens, Yves ; Kiessling, Michael K. -H. ; Ricci, Valeria
arXiv, 0506078 / Harvested from arXiv
Text on arXiv
In two recent publications [Commun. PDE, vol.22, p.307--335 (1997), Commun. Math. Phys., vol.203, p.1--19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained in form equivalent to a weak law of large numbers. We also establish a central limit theorem for the fluctuations around this limit.
Publié le : 2005-06-30
Classification:  Mathematical Physics,  37K99 
@article{0506078,
     author = {Elskens, Yves and Kiessling, Michael K. -H. and Ricci, Valeria},
     title = {The Vlasov limit and its fluctuations for a system of particles which
  interact by means of a wave field},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506078}
}

Elskens, Yves; Kiessling, Michael K. -H.; Ricci, Valeria. The Vlasov limit and its fluctuations for a system of particles which
  interact by means of a wave field. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506078/