Geodesic
Kinetic fluctuations of Brownian motion
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 233-243

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A study is made of the influence of fluctuations whose correlation time is comparable with the relaxation time of the distribution function on kinetic processes in Brownian motion. It is shown that allowance for such large-scale fluctuations changes the diffusion coefficient and leads to the appearance of additional correlation of Brownian particles. An expression is obtained for the correlation function of a Langevin source in the diffusion equation, this taking into account the contribution of the largescale fluctuations. 
@article{TMF_1978_34_2_a9,
     author = {V. V. Belyi and Yu. L. Klimontovich},
     title = {Kinetic fluctuations of {Brownian} motion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {233--243},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a9/}
}
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V. V. Belyi; Yu. L. Klimontovich. Kinetic fluctuations of Brownian motion. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 233-243. http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a9/