Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1

Details Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1 Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1

2007-07-23

arxiv.org/abs/0707.3306v3

Nonlinear Sciences

Chaotic Dynamics

Postscript, 7 pages. In the sections "Appendix" and "Discussion" the phrase "its potential is proportional to density" is repl

Scientific paper

In this paper we proceed with investigation of connections between Fokker - Planck equation and continuum mechanics. In spectral decomposition of Fokker - Planck equation solution we preserve only terms with the smallest degree of damping. We find, that macroscopic parameters of Fokker-Planck flows, obtained in this way, have following properties: velocities field possess potential, its potential is proportional to density logarithm and satisfy diffusion equation. We proved, that such a pair of density and velocities field satisfy the set of classic hydrodynamics equations for isothermal compressible fluid with friction mass force, proportional to velocity. We proved also, that the potential velocities field alone, with potential, which satisfy diffusion equation, satisfy Burgers equation without mass forces.

Affiliated with

Also associated with

No associations

Rating

Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral decomposition approach to macroscopic parameters of Fokker-Planck flows: Part 1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109292