Geodesic
Investigation of the diffusion of a massive particle in a one-dimensional ideal gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 2, pp. 299-303 Cet article a éte moissonné depuis la source Math-Net.Ru

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Dependence of the diffusion coefficient of a massive particle in one-dimensional perfect gas on the particle mass is studied by numerical methods. It is shown that the lower bound for the diffusion coefficient found in [1, 2] is exact. Moreover, the application of the Pirson criterion shows that the limiting distribution of the heavy particle with high level of valuability is not gaussian. 
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     author = {M. L. Khazin},
     title = {Investigation of the diffusion of a~massive particle in a~one-dimensional ideal gas},
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M. L. Khazin. Investigation of the diffusion of a massive particle in a one-dimensional ideal gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 2, pp. 299-303. http://geodesic.mathdoc.fr/item/TMF_1987_71_2_a11/

[1] Sinai Ya. G., Soloveichick M. R., Commun. Math. Phys., 104 (1986), 423–443 | DOI | MR | Zbl

[2] Szasz D., Toth B., Commun. Math. Phys., 104 (1986), 445–455 | DOI | MR | Zbl

[3] Major P., Szasz D., Ann. of probability, 8 (1980), 1068–1078 | DOI | MR | Zbl