2007/08/19 by Mitsusada M. Sano
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fluid Dynamics and Turbulent Flows #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.76.046312
10 pages, No figures. To be published in Physical Review E, 76-3
arxiv created 2007/08/19 · openalex publication_date 2007/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Kinetic equations are derived from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for point vortex systems in an infinite plane. At the level of approximation for the Landau equation, the collision term of the kinetic equation derived coincides with that by Chavanis [Phys. Rev. E 64, 026309 (2001)]. Furthermore, we derive a kinetic equation corresponding to the Balescu-Lenard equation for plasmas using the theory of the Fredholm integral equation. For large N , this kinetic equation is reduced to the Landau equation above.