Geometric dissipation in kinetic equations
Plasma Physics
2007-08-21 v2 Adaptation and Self-Organizing Systems
Abstract
A new symplectic variational approach is developed for modeling dissipation in kinetic equations. This approach yields a double bracket structure in phase space which generates kinetic equations representing coadjoint motion under canonical transformations. The Vlasov example admits measure-valued single-particle solutions. Such solutions are reversible; and the total entropy is a Casimir, and thus is preserved.
Keywords
Cite
@article{arxiv.0705.0765,
title = {Geometric dissipation in kinetic equations},
author = {Darryl D. Holm and Vakhtang Putkaradze and Cesare Tronci},
journal= {arXiv preprint arXiv:0705.0765},
year = {2007}
}