A method for Hamiltonian truncation: a four-wave example

Autor(es)

Viscondi, Thiago F. ^[1] ; Caldas, Ibere L. ^[1] ; Morrison, Philip J. ^{[2, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 49, n. 16 APR 22 2016.
• Citações Web of Science: 5

Resumo

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)

• Processo FAPESP: 12/20452-0 - Desenvolvimento de uma Formulação Hamiltoniana para o Transporte Anômalo de Partículas em Plasmas Confinados
• Beneficiário: Thiago de Freitas Viscondi
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático