Non-Markovian Fokker-Planck equations and turbulent diffusion in plasmas

• Дата: 1998
• Автори: Zagorodny, A., Weiland, J.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут фізики конденсованих систем НАН України 1998
• Назва видання: Condensed Matter Physics
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/119891
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Non-Markovian Fokker-Planck equations and turbulent diffusion in plasmas / A. Zagorodny, J. Weiland // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 835-847. — Бібліогр.: 12 назв. — англ.

Non-Markovian generalization of the Fokker-Planck equation is proposed in attempt to describe the influence of memory effects on stochastic particle motion in both velocity and configuration spaces. General relations between the time-nonlocal diffusion coefficient, its conventional part and meansquare displacements are established. Application of the proposed non-Marcovian equation to the description of diffusive processes in the configurational space directly leads to a time-nonlocal diffusion equation. The results obtained are in agreement with the continuous time random walk theory. Microscopic derivation of the non-Markovian equation is given for the specific case of turbulent plasma using particle propagators renormalized with regard for the evolution of kinetic coefficients. The influence of memory effects on transport processes in plasmas with saturated turbulence is discussed.