Alain J

Alain J. Briz= ard

0B0BPeer-Reviewed Scientific Publications

61.&= nbsp; E.R. Tracy, A.J. Brizard, D. Johnst= on, A.N. Kaufman, A.S. Richardson,= and N. Zobin, 2011, Rooms with= a view: a novel approach to iterated multidimensional wave conversion= , Communications in Nonlinear Science and Numerical Simulation (in press).

60. = A.J. Brizard, E.R. Tracy, A.N. Ka= ufman, D. Johnston, and N. Zobin, 2011, Dirac-br= acket formulation in multidimensional mode conversion, Communications in Nonlinear Science and Numerical Simulation (in press).

59.&= nbsp; A.J. Brizard, 2011, Compact formulas for guiding-center orbits in axisymmetric tokamak geometry, Physics of Plasmas18, 022508:1-8.

58. = A.Mishchenko and A.J. Brizard, 2011, Higher-order energy-conserving gyrokinetic theory, Physics of Plasmas<= span style=3D'font-size:9.0pt;font-family:Times-Bold;mso-bidi-font-family:Times-= Bold'> 18, 022305:1-13.

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57. &= nbsp; J. Decker, Y. Peysson, A.J. Brizard, and F.-X. Duthoit, 2010, Orbit-av= eraged guiding-center Fokker-Planck operator for numerical applications, Physics of Plasmas U17U, 112513:1-12.

56.  &= nbsp;        A.J. Brizard, 2010, Noet= her derivation of exact conservation laws for dissipationless reduced-fluid mod= els, Physics of Plasmas U17U, 112503:1-8.=

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55.  &= nbsp;        F.-X. Duthoit, A.J. Brizard, Y. Peys= son, and J. Decker, 2010, Pertur= bation analysis of trapped-particle dynamics in axisymmetric dipole geometry, Physics of Plasmas UU17UU, 102903:1-9.

54.  &= nbsp;       A.J. Brizard, 2010, Exact = energy conservation laws for full and truncated nonlinear gyrokinetic equations, Physics of Plasmas UU17UU, 042303:1-11.

53.   =         A.J. Brizard, J. Decker, Y. Peyss= on, and F.-X. Duthoit, 2009, Orbit-avera= ged guiding-center Fokker-Planck operator, Physics of Plasmas UU16UU, 102304:1-9.

52.   =         J.R. Cary and A.J. Brizard, 2009, Hamiltoni= an theory of guiding-center motion, Reviews of Modern Physics <= span style=3D'font-size:1.0pt;font-family:ZWAdobeF'>UU81UU, 693-738.

51.   =         A.J. Brizard, 2009, A pri= mer on elliptic functions with applications in classical mechanics, Europe= an Journal of Physics UU30UU, 729-750 (see also arX= iv:physics/0711.4064).

50. =           A.J. Brizard, 2009, Vari= ational Principles for Reduced Plasma Physics, Journal of Physics: Conferen= ce Series UU169UU, 012003.

49.  &= nbsp;        E.R. Tracy and A.J. Brizard, 2009, = Allan Kaufman’s contributions to plasma wave theory, Journal of Physics: Conference Series UU169UU, 012008.

48. =           A.J. Brizard and A. Mishchenko, 2= 009, Guiding-c= enter recursive Vlasov and Lie-transform methods in plasma physics, Journ= al of Plasma Physics UU75UU, 675-696.

47. =           A.J. Brizard, A.N. Kaufman, and E= .R. Tracy, 2008, Recircu= lation in multiple wave conversions <= /i>Physics of Plasmas UU15UU, 082116:1-10.

46. =           A.J. Brizard, R.E. Denton, B. Rog= ers, and W. Lotko, 2008, Nonlinear finite-Larmor-radius effects in reduced fluid models, Physics of Plasmas UU15UU, 082302:1-15.

45. =           A.J. Brizard, 2008, On the dynamical reduction of the Vlasov equation (Vlasovia 2006: The Seco= nd International Workshop on the Theory and Applications of the Vlasov Equatio= n), Communications in Nonlinear Science and Numerical Simulation UU13= UU, 24-33 (see arXiv:physics/0609051).

44. =           X. Tao, A.A. Chan, and A.J. Brizard, 2007, Ham= iltonian theory of adiabatic motion of relativistic charged particles, Physics of Plasmas<= /st1:PersonName> UU14UU, 092107:1-9.

43. =           A.J. Brizard and T.S. Hahm, 2007, Founda= tions of nonlinear gyrokinetic theory, Reviews of Modern Physics <= span style=3D'font-size:1.0pt;font-family:ZWAdobeF'>UU79UU, 421-468.

42. =           A.J. Brizard, 2005, Energy-con= serving finite-beta electromagnetic drift-fluid equations, Physics of Plasm= as UU12U= U, 092302:1-11.=

41.=       =    D. Strintzi, B.D. Scott, and A.J. Bri= zard, 2005, Nonlocal nonli= near electrostatic gyrofluid equations: A four-moment model, Physics of Plasmas UU12UU, 052517:1-10.

40.=       =    A.J. Brizard, 2005, Variational formulations of exact and reduced Vlasov-Maxwell equations, = Fields Institute Communications (American Mathematical Society) UU46UU, 151-170 (see arXiv:physics/0409119).

39. &n= bsp;        A.J. Brizard, 2005, Noether me= thods for fluids and plasmas, Journal of Plasma Physics UU71U= U, 225-236.

38.           A.N. Kaufman, E.R. Tracy, and A.J. Brizard, = 2005, Helical rays in two-dimensional resonant wave conversion, Physics of Plasmas UU12UU, 022101:1-10.

37. &nb= sp;        A.J. Brizard, 2004, A guiding-center Fokker-Planck collision operator for nonuniform magnetic fie= lds, Physics of Plasmas = UU11UU, 4429-4438.

36. &nb= sp;        A.J. Brizard and A.A. Chan, 2004, Relativistic quasilinear diffusion in axisymmetric geometry for arbitrary-frequency electromagnetic fluctuations, Physics of Plasmas U= U11U= U, 4220-4229.

35. &n= bsp;        A.J. Brizard and E.R. Tracy, 2003, <= i>Mini-Confere= nce on Hamiltonian and Lagrangian Methods in Fluid and Plasma Physics, Physics of Plasmas UU10= UU, 2163-2168.

34. &n= bsp;        E.R. Tracy, A.N. Kaufman, and A.J. Brizard, 2003, R= ay-Based Methods in Multi-dimensional Linear Wave Conversion, Physics of Pla= smas UU10UU, 2147-2154.

33. &nb= sp;        A.J. Brizard and UUSarah L. McGregorUU (’03 SMC), 2002, Linear W= ave Spectrum associated with Collective Neutrino-Plasma Interactions in the Ear= ly Universe, New J. Physics UU4= UU, 97.1-97.12.

32. &n= bsp;        A.J. Brizard, 2001, A Geometric V= iew of Hamiltonian Perturbation Theory, Physics Letters A UU           &nb= sp;           291UU, 146-149.

31.=   &nb= sp;       A.J. Brizard and A.A. Chan, 2001, Relativistic Bounce-averaged Quasilinear Diffusion Equation for Low-frequency Electromagnetic Fluctuations, Physics of Plasmas UU8UU, 4762-4771.=

&nbs= p;            &= nbsp; ______________________________ Pre-SMC Period __________________________________

30.=   &nb= sp;       A.J. Brizard, 2000, Variational Principle for Nonlinear Gyrokinetic Vlasov-Maxwell Equations, Physi= cs of Plasmas UU7UU, 4816-4822.

29.         &= nbsp; A.J. Brizard, 2000, Nonlinear Bounce-center Hamiltonian Dynamics in General Magnetic Geometry, Physics of Plasmas UU7UU, 3238-3246.

28.=   &nb= sp;       A.J. Brizard, 2000, A New Variational Principle for Vlasov-Maxwell Equations, Physical Review Letters UU84UU, 5768-5771.=

27<= span style=3D'font-size:10.0pt'>.   &n= bsp;       A.J. Brizard, H. Murayama, and J.S. Wurtele, 2000, Magnetic-fie= ld Generation from Self-Consistent Collective Neutrino-Plasma Fluid Interactio= ns, Physical Review E UU61UU, 4410-4421.=

26<= span style=3D'font-size:10.0pt'>.   &n= bsp;     A.J. Brizard and A.A. Chan, 1999, R= elativistic Nonlinear Gyrokinetic Vlasov-Maxwell Equations, Physics of Plasmas UU6UU, 4548-4558= .

25<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.N. Kaufman, J.J. Morehead, A.J. Brizar= d, and E.R. Tracy, 1999, Mode Conversion= in the Gulf of Guinea, Journal of Fluid Mechanics UU394UU, 175-192.

24<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard and J.S. Wurtele, 1999, Lagrangian Formula= tion for Neutrino-Plasma Interactions, Physics of Plasmas UU6UU, 1323-1328= .

23<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.N. Kaufman, E.R. Tracy, J.J. Morehead, and A.J. Brizard, 1999, The Dissipative Budden Problem: Effect of Converted-wave Damping on Primary-wave Reflection= , Physics Letters A UU252UU, 43-48.

22<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, 1998, A new Lagrangian formulation for laser-plasma interactions, Physics of Plasmas UU5UU, 1110-1117= .

21<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, J.J. Morehead, A.N. Kaufm= an, and E.R. Tracy, 1998, Double-c= rossing mode conversion in nonuniform medium, Physics of Plasmas UU5UU, 45-59.

20<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, J.J. Morehead, A.N. Kaufm= an, and E.R. Tracy, 1996, Double-cross instability: An absolute instability caused by counter-propagating positive- and negative-energy waves, Physical Review Letters UU77UU, 1500-1503.=

19<= span style=3D'font-size:10.0pt'>.   &n= bsp;      E.R. Tracy, A.J. Brizard, and A.N. Kaufma= n, 1996, Generalized Case-van Kampen modes in a multi-dimensional non-unifo= rm plasma with application to gyroresonance heating, Journal of Plasma Phy= sics UU55UU, 449-486.

18<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, 1996, Variational structure for dissipationless linear drift-wave equations, Physics = of Plasmas UU3UU, 744-748.<= o:p>

17<= span style=3D'font-size:10.0pt'>.   &n= bsp;     A.J. Brizard and A.N. Kaufman, 1996, How a wave= flips its energy sign by linear conversion, Physical Review Letters UU76UU, 1639-1642.=

16<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard and A.N. Kaufman, 1996, The linear-conversion theory of energetic-minority-ion Bernstein-wave propagati= on across gyroresonance in nonuniform magnetic field, Physics of Plasm= as UU3UU, 64-71.

15<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard and A.N. Kaufman, 1995, Local Manley-Rowe relations for non-eikonal wave fields, Physical Review Letters 74, 4567-4570.

14<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, 1995, Nonlinear gyrokinetic Vlasov equation for toroidally rotating axisymmetric tokamaks, Physics of Plasmas UU2UU, 459-471.<= o:p>

13<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, 1994, Eulerian ac= tion principles for linearized reduced dynamical equations, Physics of Plasmas UU1UU, 2460-2472= .

12<= span style=3D'font-size:10.0pt'>.   &n= bsp;      A.J. Brizard, 1994, Quadratic fr= ee energy for the linearized gyrokinetic Vlasov--Maxwell equations, Physics of Plasmas UU1UU, 2473-2479= .

11.         &= nbsp; A. Brizard, 1994, On the relation between pseudo-Hermiticity and dissipation, Physics Letter= s A UU    187UU, 382= -390.

10<= span style=3D'font-size:10.0pt'>.   &n= bsp;       F.L. Hinton, J. Kim, Y.B. Kim, A. Brizard, and K.H. Burrell, 1994, Poloidal= rotation near the edge of a tokamak plasma in H-mode, Physical Review Letter= s UU72UU, 1216-1219.=

9.   &n= bsp;         D.R. Cook, A.N. Kaufman, A.J. Brizard, H.= Ye, and E.R. = Tracy, 1993, T= wo-dimensional reflection of magnetosonic radiation by gyroballistic waves: an analytic th= eory, Physics Letters A UU178UU, 413-418.

8.   &n= bsp;         A.J. Brizard, D.R. Cook, and A.N. Kaufm= an, 1993, Wave-action conservation for pseudo-Hermitian fields, Physical Review Letters <= /span>UU70UU, 521-524.

7.   &n= bsp;        A. Brizard, 1992, Hermitian structure for linearized ideal MHD equations with equilibrium flows, Physics Letters A UU168UU, 357-362.

6.   &n= bsp;        A. Brizard, 1992, Nonlinear gyrofluid description of turbulent magnetized plasmas, Physics of Fluids B UU4UU, 1213-1228= .

5.   &n= bsp;        A.A. Chan, A. <= /span>Brizard, and L. Chen, 1992, Nonlinear test particle dynamics in a perturbed magnetic dipole field, in Nonlinear and Relativistic Effects in Plasmas, edited by V. Stefan (AIP, New York), 526-5= 35.

4.   &n= bsp;        A. Brizard, T.K. Fowler, D. Hua, and P.J. Morrison, 1991, Thermodynamic constraints applied to tokamaks, Comments Plasma Physics and Contro= lled Fusion UU14UU, 263-273.

3.   &n= bsp;        A. Brizard, 1989, Gyrokinetic = energy conservation and Poisson-bracket formulation, Physics of Fluids B <= /span>UU1UU, 1381-1384.=

2.   &n= bsp;        A. Brizard, 1989, Nonlinear gyrokinetic Maxwell--Vlasov equations using magnetic coordinates, Journal of Plasma Physics UU41UU, 541= -559.

1.   &n= bsp;        T.S. Hahm= , W.W. Lee, and A. Brizard, 1988, Nonlinear gyrokinetic theory for finite-beta plasmas, Physics of Fluids UU31UU, 1940-1948.=

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9B9BPapers submitted f= or Publication

A.J.= Brizard and N. Tronko, Exact momentum conservation for the gyrokinetic Vlasov-Poisson equations, submitted to Physics of Plasmas.<= o:p>