Generalized Hamiltonians, functional integration and statistics of continuous fluids and plasmas

DOI10.1080/00411458708204662zbMath0622.76001OpenAlexW2092868777MaRDI QIDQ3760125

H. Tasso

Publication date: 1987

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11858/00-001M-0000-0027-6833-D

zbMATH Keywords

plasmasgeneralized Poisson bracketsfunctional integrationLie-Poisson bracketscontinuous fluidsexact fluctuation spectraGeneralized HamiltonianGibbs statisticsGyroviscous magnetohydrodynamics

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of manifolds of mappings to the sciences (58D30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Foundations of fluid mechanics (76A02) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Algebraic aspects of nonlinear differential equations
• Quantum field theory techniques in graphical enumeration
• On Hydromagnetic Stability of Stationary Equilibria
• Hamiltonian formulation of reduced magnetohydrodynamics
• Fluctuation spectra of a drift wave soliton gas
• A simple model of the integrable Hamiltonian equation
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• A note on Hamilton's principle for perfect fluids
• On Feynmann’s ‘integral over all paths’

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