Fokker - Planck equation in curvilinear coordinates
Chaotic Dynamics
2009-09-29 v1
Abstract
The aim of this paper is to rewrite the Fokker - Planck equation according to transformation of space coordinates. This is nontrivial problem, because transformation of space coordinates induces transformation of velocities. We can use covariant, contravariant or physical velocity components as independent variables in curvilinear coordinate system. These 3 possibilities are considered in this paper and 3 kinds of Fokker - Planck equation in curvilinear coordinates are formulated.
Keywords
Cite
@article{arxiv.nlin/0506053,
title = {Fokker - Planck equation in curvilinear coordinates},
author = {Igor A. Tanski},
journal= {arXiv preprint arXiv:nlin/0506053},
year = {2009}
}
Comments
11 pages