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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Beatification: Flattening the Poisson bracket for two-dimensional fluid and plasma theories

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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: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support type: Research Projects - Thematic Grants
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 type: Scholarships in Brazil - Post-Doctorate