Publications in Lagrangian and Hamiltonian Methods
A.J. Brizard, A primer on elliptic functions with applications in classical mechanics, see arxiv/0711.4064
A.J. Brizard and T.S. Hahm, Foundations of Nonlinear Gyrokinetic Theory, Reviews of Modern Physics 79, 421-468 (2007).
A.J. Brizard, On the dynamical reduction of the Vlasov equation, Communications on Nonlinear Science and Numerical Simulation 13, 24-33 (2008); Proceedings of the 2006 Vlasovia workshop (Florence, Italy, September 18-20, 2006), see also arXiv:physics/0609051.
A.J. Brizard, Energy-conserving finite-beta electromagnetic drift-fluid equations, Physics of Plasmas 12, 092302:1-11 (2005).
A.J. Brizard, Noether methods for fluids and plasma, Journal of Plasma Physics 71, 225-236 (2005).
A.J. Brizard, Variational formulations of exact and reduced Vlasov-Maxwell equations, Fields Institute Communications (2005).
A.J. Brizard and E.R. Tracy, Mini-conference on Hamiltonian and Lagrangian methods in fluid and plasma physics, Physics of Plasmas 10, 2163-2168 (2003).
A.J. Brizard and S.L. McGregor, Linear wave spectrum associated with collective neutrino-plasma interactions in the early universe, New Journal of Physics 4, 97.1-97.12 (2002).
A.J. Brizard, A geometric view of Hamiltonian perturbation theory, Physics Letters A 291, 146-149 (2001).
A.J. Brizard, New variational principle for the Vlasov-Maxwell equations, Physical Review Letters 84, 5768-5771 (2000).
A.J. Brizard, H. Murayama, and J.S. Wurtele, Magnetic field generation from self-consistent collective neutrino-plasma interactions, Physical Review E 61, 4410-4421 (2000).
A.J. Brizard and J.S. Wurtele, Lagrangian formulation for neutrino-plasma interactions, Physics of Plasmas 6, 1323-1328 (1999).
A.J. Brizard, A new Lagrangian formulation for laser-plasma interactions, Physics of Plasmas 5, 1110-1117 (1998).
A.J. Brizard, Variational structure for dissipationless linear drift-wave equations, Physics of Plasmas 3, 744-748 (1996).
A.J. Brizard and A.N. Kaufman, Local Manley-Rowe relations for non-eikonal wave fields, Physical Review Letters 74, 4567-4570 (1995).
A.J. Brizard, Eulerian action principles for linearized reduced dynamical equations, Physics of Plasmas 1, 2460-2472 (1994).
A.J. Brizard, Quadratic free energy for the linearized gyrokinetic Vlasov-Maxwell equations, Physics of Plasmas 1, 2473-2479 (1994).
A.J. Brizard, On the relation between pseudo-Hermiticity and dissipation, Physics Letters A 187, 382-390 (1994).
A.J. Brizard, D.R. Cook, and A.N. Kaufman, Wave-action conservation for pseudo-Hermitian fields, Physical Review Letters 70, 521-524 (1993).
A.J. Brizard, Hermitian structure for linearized ideal MHD equations with equilibrium flows, Physics Letters A 168, 357-362 (1992).
A.J. Brizard, Gyrokinetic energy conservation and Poisson-bracket formulation, Physics of Fluids B 1, 1381-1384 (1989).