Abstract:
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.
Citation:
V. V. Belyi, Yu. L. Klimontovich, “Kinetic fluctuations of Brownian motion”, TMF, 34:2 (1978), 233–243; Theoret. and Math. Phys., 34:2 (1978), 147–154
This publication is cited in the following 2 articles:
Yuri L. Klimontovich, Springer Series in Synergetics, 10, The Kinetic Theory of Electromagnetic Processes, 1983, 93
S. A. Dyagilev, V. B. Tsaregradskii, “Nonequilibrium correlation functions of fluctuation forces in quantum theory of generalized Langevin equations”, Radiophys Quantum Electron, 24:5 (1981), 396