Physics 218C | Spring 2021

Course Handouts

This page was last updated 1107 Jun 2021.


Course Handouts

Syllabus

Course Topics



Spring 2021 Supplementary Materials


Overview and Short History of the Tokamak; How to Form a Profile

B.B. Kadomstev - Tokamak Plasma, A Complex Physical System

Meade - History of Magnetic Fusion

Wagner - Experimental Overview

Garbet - Theoretical Overview

Garbet - Extended Overview


Transport I: Basic Physics — Pipes and Plasmas, Mixing Length Models, Scalings

Spiegel - Convection

Spiegel - Improved Mixing Length Theory

Gough - Mixing Length Theory

Ahlers et al. - Turbulent Convection Review

Siggia - Review of Turbulent Convection

Lohse and Grossman - Scaling in Thermal Convection: A Unifying View

Taylor and McNamara - 2D Diffusion

Dupree 1966 - Strong Turbulence

BDT 1990 - Shear Decorrelation

Kubo - Linear Response Theory


Transport II : Dynamical Models — A Selective Study, Part I - Potential Vorticity, Drift-Zonal Flow Turbulence and Reduced EM Models

Hasegawa-Mima Model Basic

Hasegawa-Wakatani Model

PD Hasegawa-Mima - Vorticity Dynamics: A Look Back and Ahead

Hasegawa-Mima - OV Article DWT

Kadomtsev-Pogutse Review - Fluctuations in Torus

Muller - PV Theory

Emile-Gaey - GFD Survival Kit

Rhines '75 - Beta Plane Turbulence

Strauss - Reduced MHD '76

Drake and Antonsen - 4 Field Equations

Hasegawa and Wakatani - Reduced Fluid Equations: Diamagnetics


Transport III: Dynamical Models — A Selective Study, Part 2 - ITG Turbulence, PSFI, Fueling and Density Profile Formation

Alcator C Pellet Experiment - Greenwald '84

Alcator C Pellet Experiment - Wolfe et al. '86

ITG Physics: Lee and PD '85

ITG Length Scale: Terry, PD

Toroidal and General ITG Physics - Biglari, PD, MNR

Parallel Shear Flow: Negative Compression 1 - Catto, MNR, Liu

Parallel Shear Flow: Negative Compression 2 - Mattor, PD

Gas Puffing and Pinch Experiments - Strachan '82

Statistical Theory of Chemotaxis - E.F. Keller and Segal '71

Thermodynamic Pinch Theory: Ion Mixing Mode - Coppi and Spight '78

TEP Pinch Theory 1 - Isichenko, Gruzinov and Diamond 1995

Fluid Theory TEP Pinch - Naulin et al. 1998

Entropy Production and TEP - Garbet et al. 2005

TEP Pinch Theory, Extended - Isichenko, Gruzinov, Diamond et al. 1996

TEP and PV Dynamics - Madsen et al. 2015

Mischenko et al. - TEP for Stellerator

Pinch and Particle Transport Phenomenology - Angioni et al. 2009

Batchelor - Homogenization Theorem

Rhines and Young - Homogenization Rate

Rhines and Young - PV Homogenization, Revisited

Galeev et al. - Basic Quasilinear Theory for Drift Waves


Transport IV: Geometry: Shear, Toroidicity; Shearing Dynamics, Zonal Mode Dynamics

Roberts and Taylor: Twisted Slicing Modes

Goldreich and Lynden-Bell: Shearing Coordinates

Connor-Hastie-Taylor: Ballooning Mode Formalism

Connor-Hastie-Taylor: Ballooning Modes

Tang: Microstability Review

Chen, Cheng: Toroidal Drift Waves

Frieman, Chen: Gyrokinetics, Toroidal Modes

Blizzard and Hahm: Gyrokinetics Review

Rosenbluth and Hinton: Zonal Flow Screening

Diamond et al. 2005: Zonal Flow Review - Eikonal Formulation

Gurcan, PD 2014: Shear Flow and Self-Organization Review - Envelope Formulation

Singh, PD: Unified Theory of Zonal Modes in Drift Wave Turbulence

Hahm, PD 2018: Mesoscopic Transport Events; Spreading and Avalanches

Diamond, Hasegawa, Mima: Retrospective on Zonal Flow Theory

Hasegawa, Mima 2018: Historical OV of Drift Wave-Zonal Flow Theory Development


Confinement Transitions, Especially L-H Transition

ASDEX Group: Review - H-Mode of ASDEX

Wagner 2007: Review - Quarter Century of H-Mode Studies

Burrell: Review of ExB Shearing and L-H Transition

Hahm, Burrell: Shearing Criterion with Geometry

Hinton: S-Curve Transport Bifurcations

Diamond et al.: Predator-Prey Transport Bifurcations

Diamond et al.: Zonal Flow by Cross Bicoherence

Estrada et al.: LCO at LH Transition

Schmitz et al.: LCO at LH Transition

Manz et al.: ZF as L-H Trigger Mechanism

Tynan et al.: Trigger Criterion for LH Transition

Miki et al.: Multi-field Model of LH Transition

Miki et al.: Models of Stimulated Transitions

Malkov et al.: Model of LH Power Threshold

Bechhoerfer: Feedback for Physicists


Momentum Transport and Intrinsic Rotation

Ida, Rice: Review of Rotation and Momentum Transport

Diamond et al. 2013: Review of Intrinsic Rotation

Ida et al. 1990: Non-Diffusive Momentum Flux

Rice 1998: Spontaneous Rotation in ICRH

Hutchinson et al.: OH and ICRF Rotation Identical

Ida et al. 2010: Intrinsic Rotation in ITB

Rice et al.: Grad Ti Quantifies Intrinsic Rotation

Bortolon et al. ,2006 : Ohmic Reversals

Rice et al. 2011: OH Reversals in C-Mod

LaBombard et al. 2004: Dog Wags Tail

Diamond et al. 2009: Theory of Intrinsic Rotation

Kosuga et al: Heat Engine Model

Ku et al. 2012: GK Simulation of Intrinsic Torque

Hahm et al. 2007: Turbulent Momentum Pinch

L. Wang, PD 2013: Turbulent Acceleration

Hong et al.: Mico-Macro Connection for Parallel Flow in CSDX


Density Limit and Greenwald Scaling; SOL Width and Heat Load Scaling; Plasma Wall Interaction

Comparison of Tokamak, Stellarator and RFP Edges

Ch. P. Ritz 1990: Effects of L-Mode Shear Layers

Greenwald 1988: Density Limits

Greenwald 2002: Review of Density Limits

Greenwald; 20 Yrs Alcator C Mod-Density Limits Section

Pedrosa et al. 2007: Zonal Edge Flow Onset-L-Mode

Hong et al. 2018: Shear Layer Collapse and Density Limit

Hajjar, PD: Theory of Shear layer Collapse

Singh, PD 2021: Bounds on Shear Layer Persistence

LaBombard et al.: SOL Width Current Scaling

Garbet 1991: SOL Interchange Stability

Goldston 2012: Heuristic Drift Model

Eich et al.: SOL Width Scaling for ITER



Spring 2012 Supplementary Materials

"50 years of fusion research" - Dale Meade

"The Physics Basis of ITER Confinement" - F. Wagner

"Introduction to the Theory of Confinement" - X. Garbet

"Pseudo-three dimensional turbulence in magnetized nonuniform plasma" - Akira Hasegawa and Kunioki Mima

"A collisional drift wave description of plasma edge turbulence" - Masahiro Wakatani and Akira Hasegawa

"A quarter-century of H-mode studies" - F. Wagner

"Low Frequency Modes in Confined Plasmas - K. Itoh, S.-I. Itoh and A. Fukuyama

"Turbulence in Toroidal Systems" - B.B. Kadomtsev and O.P. Pogutse

"Zonal Flows: From Wave Momentum and Potential Vorticity Mixing to Shearing Feedback Loops and Enhanced Confinement" - P.H. Diamond

"Zonal flows in plasma-a review" - P.H. Diamond, S.-I. Itoh, K. Itoh and T.S. Hahm

"Vorticity dynamics, drift wave turbulence, and zonal flows: a look back and a look ahead" - P.H. Diamond, A. Hasegawa and K. Mima

"Eddy Motion in the Atmosphere" - G.I. Taylor

"Multiple Jets as PV Staircases: The Phillips Effect and the Resilience of Eddy-Transport Barriers" - D.G. Dritschel and M.E. McIntyre

"The General Circulation of the Atmosphere" - Isaac M. Held and GFD/2000 Fellows

"Gravitational Resistive Instability of an Incompressible Plasma in a Sheard Magnetic Field" - K.V. Roberts and J.B. Taylor

"High mode number stability of an axisymmetric toroidal plasma" - J.W. Connor, R.J. Hastie and J.B. Taylor

"Shear, Periodicity, and Plasma Ballooning Modes" - J.W. Connor, R.J. Hastie, and J.B. Taylor

"Nonlinear growth of the tearing mode" - P.H. Rutherford

"Intro to Mixing Length Theory" - Douglas Gough; D.O. Gough and E.A. Spiegel