Geodesic
Solutions of the~Vlasov equation in Lagrange coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 138-148

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We show that the method of "finite-size" particles is a discrete model of the Vlasov equation but in a different (effective) interaction potential. We calculate the effective potential explicitly in the most interesting case of the Coulomb interaction. We find the equations of motion of particles of "finite size" for the Gaussian form factor.
Keywords: discrete model of the Vlasov equation, "finite-size" particle, self-consistent field. 
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     author = {Yu. A. Volkov},
     title = {Solutions of {the~Vlasov} equation in {Lagrange} coordinates},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {138--148},
     publisher = {mathdoc},
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     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a8/}
}
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Yu. A. Volkov. Solutions of the~Vlasov equation in Lagrange coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 138-148. http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a8/