| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Phys, Sao Paulo, SP - Brazil
[2] Univ Texas Austin, Dept Phys, Austin, TX 78712 - USA
[3] Univ Texas Austin, Inst Fus Studies, Austin, TX 78712 - USA
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 49, n. 16 APR 22 2016. |
| Web of Science Citations: | 5 |
| Abstract | |
A method for extracting finite-dimensional Hamiltonian systems from a class of 2 + 1 Hamiltonian mean field theories is presented. These theories possess noncanonical Poisson brackets, which normally resist Hamiltonian truncation, but a process of beatification by coordinate transformation near a reference state is described in order to perturbatively overcome this difficulty. Two examples of four-wave truncation of Euler's equation for scalar vortex dynamics are given and compared: one a direct non-Hamiltonian truncation of the equations of motion, the other obtained by beatifying the Poisson bracket and then truncating. (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 |