Research References: Kinetic Theory

Vlasov-Poisson and Vlasov-Maxwell

Lie Perturbation Analysis and Guiding Centre Theory

Gyrokinetic Theory

Gyrokinetic Field Theory

  • Hideo Sugama: Gyrokinetic Field Theory (2000)
    Physics of Plasmas, Vol. 7, p. 466-480, doi: 10.1063/1.873832

  • Hideo Sugama et al.: Extended Gyrokinetic Field Theory for Time-Dependent Magnetic Confinement Fields (2014)
    Physics of Plasmas, Vol. 21, 012515, doi: 10.1063/1.4863426

  • Alain J. Brizard: New Variational Principle for the Vlasov-Maxwell Equations (2000)
    Physical Review Letters, Vol. 84, p. 5768-5771, doi: 10.1103/PhysRevLett.84.5768

  • Alain J. Brizard: Variational Principle for Nonlinear Gyrokinetic Vlasov-Maxwell Equations (2000)
    Physics of Plasmas, Vol. 7, p. 4816, doi: 10.1063/1.1322063

  • Alain J. Brizard: Variational Formulations of Exact and Reduced Vlasov-Maxwell Equations (2005)
    Topics in Kinetic Theory Vol. 46 p. 151, arXiv:physics/0409119

Gyrofluid Theory