| Full text | |
| Author(s): |
Viscondi, Thiago F.
;
Caldas, Ibere L.
;
Morrison, Philip J.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Physics of Plasmas; v. 24, n. 3 MAR 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely, the Euler, Vlasov-Poisson, Hasegawa-Mima, and modified Hasegawa-Mima equations, are naturally described in terms of noncanonical variables. The beatification procedure amounts to finding the correct transformation that removes the explicit variable dependence from a noncanonical Poisson bracket and replaces it with a fixed dependence on a chosen state in the phase space. As such, beatification is a major step toward casting the Hamiltonian system in its canonical form, thus enabling or facilitating the use of analytical and numerical techniques that require or favor a representation in terms of canonical, or beatified, Hamiltonian variables. Published by AIP Publishing. (AU) | |
| FAPESP's process: | 12/20452-0 - Development of a Hamiltonian Formulation for the Anomalous Particle Transport in Confined Plasmas |
| Grantee: | Thiago de Freitas Viscondi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |