peter catto: “did i do that?” - university of oxford...1 peter catto: “did i do that?” f.i....
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Peter Catto: “Did I do that?”
F.I. Parra (with the invaluable help of Sharon Catto)
Plasma Science and Fusion Center, MIT, USA
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Introduction
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Is Peter a leprechaun?
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Research n Prolific and varied
q Space plasmas q Laser-plasma q Drift wave instabilities q Turbulence q Neoclassical transport q Levitated dipole q Pedestal q Radial electric field
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Space physics n Interaction of solar wind with the moon
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P.J. Catto, “A model for the steady interaction of the solar wind with the moon”, Astrophysics and Space Science (1974)
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Interaction with the moon n Fluid equations derived from collisionless
Vlasov equation and certain assumption
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Laser-plasma interaction n Mode conversion
n T. Speziale, P.J. Catto, “Linear wave conversion in an unmagnetized, collisionless plasma”, PoF (1977)
n Radiation absorption n P.J. Catto, R.M. More,
“Sheath inverse bremsstrahlung in laser produced plasmas”, PoF (1977)
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Parallel Velocity Gradient instability n “Did I do that?”
Apparently… n P.J. Catto, M.N.
Rosenbluth, C.S. Liu, “Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field”, PoF (1973)
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∂V||∂x
> 0
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Debunking the universal instability n Two PRL submitted at the same time in 1978
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First contribution to turbulence n Nonlinear dispersion relation for turbulence
q P.J. Catto, “Adiabatic modifications to plasma turbulence theories”, PoF (1977)
n Corrects a previous recipe for nonlinear dispersion relation for nonlinear time
n Very interesting paper q Separation of scales q Proper treatment of fluctuation effects
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Neoclassical transport n Omnigeneity (= no radial magnetic drift = no
neoclassical transport) n P.J. Catto, R.D. Hazeltine, “Omnigenous equilibria”, PoF
(1981)
n High flow neoclassical transport n P.J. Catto, I.B. Bernstein, M. Tessarotto, “Ion transport
in toroidally rotating tokamak plasmas”, PoF (1987)
n Radial electric field in Pfirsch-Schluter regime n P.J. Catto, A.N. Simakov, “Evaluation of the radial
electric field in a collisional tokamak”, PoP (2005)
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The beginning of gyrokinetics n The Catto transformation
n Published in Plasma Physics 1978
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r, v→R = r+ 1Ωs
v× b̂, ε = v2
2, µ = v⊥
2
2B,ϕ
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And more gyrokinetics n Gyrokinetics with finite β and higher order μ
n P.J. Catto, W.M. Tang, D.E. Baldwin, “Generalized gyrokinetics”, Plasma Phys. (1981)
n High frequency gyrokinetics q A visionary? This is cyclo-kinetics…
n X.S. Lee, J.R. Myra, P.J. Catto, “General frequency gyrokinetics”, PoF (1983)
n High flow gyrokinetics n I.B. Bernstain, P.J. Catto, “Generalized gyrokinetics”,
PoF (1985)
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Pedestals n Large pressure gradient & collisional
equilibrium with
n G. Kagan, P.J. Catto, “Arbitrary poloidal gyroradius effects in tokamak pedestals and transport barriers”, PPCF (2008)
n Intelligent expansion in ρ << ρθ and a/R << 1 to find neoclassical results q Trapped particle population diminishes ⇒
reduction of neoclassical effects 14
ρθLp~1
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Peter as an educator
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Peter as an educator
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Peter as an educator
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Peter as an educator
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Some words of wisdom…
Friends come and go, but enemies accumulate
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…that couldn’t be more wrong
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