Physics 235 | Spring 2019

Lecture Notes

This page was last updated 17 Jun 2019.


Spring 2019 Lecture Notes

Notes 1: Overview and Stochastic Fields 1posted 04 Apr 2019

Notes 2: Stochastic Fields 2 – Heat Transportposted 04 Apr 2019

Supplement – MHD Turbulence 1posted 08 Apr 2019

Supplement – MHD Turbulence 2posted 08 Apr 2019

Notes 3: Stochastic Fields – Particle and Momentum Transportposted 08 Apr 2019

Notes 4: To Large Kubo Number – 2-D, Diffusion, Contours, Percolationrevised notes posted 18 Apr 2019

Notes 5: Taylor Problem, Shear Dispersion, Percolation Iposted 18 Apr 2019

Notes 6: Percolation Basics Iposted 25 Apr 2019

Notes 7: Percolation Basics IIposted 25 Apr 2019

Supplement 1: Kinetics 1posted 29 Apr 2019

Supplement 2: Kinetics 2posted 29 Apr 2019

Supplement 3: Another Look at Fokker Planckposted 29 Apr 2019

Notes 8: Intermittency 1posted 29 Apr 2019

Notes 8 Addendum: Diffusion on Random Potentialposted 02 May 2019

Notes 9: Intermittency 2posted 02 May 2019

Supplement 1: Basics of Turbulenceposted 02 May 2019

Supplement 2: Notes on Turbulenceposted 02 May 2019

Supplement 3: Fluids in Flatland (2-D)posted 02 May 2019

Supplement 4: Basic OV Lecture on Turbulenceposted 02 May 2019

Notes 9 Addendum: Multifractality in Turbulenceposted 09 May 2019

Notes 10: Fractional Brownian Motion, Hurst Parameter, 1/f Noiseposted 09 May 2019

Notes 11: L-Stable Distributions, Levy Walks, etc.posted 16 May 2019

Notes 12: Physics of Levy Flights, CTRW and Fractional Kinetics Iposted 16 May 2019

Notes 13: Basics of Fractional Kineticsposted 23 May 2019

Notes 14: More on CTRW and FK; Montroll–Weiss Equationposted 23 May 2019

Notes 15: Self-organized Criticality and Avalanches Iposted 30 May 2019

Notes 16: SOC II — Hydrodynamic Models of Avalanche Turbulenceposted 30 May 2019

Notes 17: "Noisy Burgulence" and Turbulence Closuresposted 03 June 2019

Notes 18: Avalanching and SOC Phenomena in MFE Plasmasposted 03 June 2019

Notes 19: A Look at Other Directionsposted 06 June 2019


Student Lecture Summaries

Lectures 1-3 – Feng-Jen Chang: Diffusion in Stochastic Magnetic Fieldsposted 22 Apr 2019

Lectures 4, 5 – Robin Heinonen: Particle and Momentum Transport in Stochastic Fields, Taylor, Dupree, and Resonance Broadening and a First look at High Kubo Numberposted 02 May 2019

Lectures 6-9 – Rebecca Masline: High Kubo Number Transport, Percolation, Shear Dispersionposted 13 May 2019

Lectures 9-11 – Kenneth Gage: Intermittency &ndash Basic Concepts, Multiplicative Processes, and Fractal/Multi-Fractal Modelsposted 30 May 2019

Lectures 12-14 – Chang-Chun Chen: Fractal Brownian Motion, Levy Stable Distributions, and CTRWposted 06 June 2019

Lectures 15, 16 – Alex Knyazev: Fractional Kinetics and Applications of CTRWposted 06 June 2019

Lectures 17, 18 – Jung-Tsung Li: To Avalanches and Self-Organized Criticalityposted 06 June 2019


Student Research Papers

On Experimental Research on Avalanches in Magnetic Fusion Energy – Feng-Jen Changposted 13 Jun 2019

Nonlocal Transports and Avalanches – Chang-Chun Chenposted 17 Jun 2019

Isotope Effect on Transport in L-mode Plasmas in DIII-D – Genevieve DeGrandchampposted 17 Jun 2019

Analysis of Fast ion Intermittent Transport due to Alfvén Eigenmodes on DIII-D – Kenneth Gageposted 17 Jun 2019

Hurst exponents for Hasegawa–Wakatani Turbulence – Robin Heinonenposted 17 Jun 2019

Accelerator Modes in Stochastic Electron Heating – Alex Knyazevposted 14 Jun 2019

Turbulent Damping of Cosmic Ray-Induced Streaming Instability – Jung-Tsung Liposted 13 Jun 2019

Critical Gradient Behavior of Fast Ions – Daniel Linposted 17 Jun 2019

"The Blob," or On diffusive and ballistic transport of intermittent coherent structures in the scrape-off layer – Rebecca Maslineposted 14 Jun 2019



Spring 2016 Lecture Notes

Notes 1: Transport in Stochastic Fields -Diffusive Dynamics 1 - posted 05 April 2016

Notes 2: Transport in Stochastic Fields-Diffusive Dynamics 2 - posted 07 April 2016

Notes 3: Stochastic Fields:Particle Transport; Toward High Ku - posted 10 April 2016

Notes 4: Random Medium Analogues - posted 12 April 2016

Notes 5: Review, Transport and Random Media, Introduction to Percolation - posted 18 April 2016

Notes 6: Introduction to Intermittency - posted 4 May 2016

Notes 7: Divertimento on Intermittency and Fractals - reposted 2 May 2016

Notes 8: Hurst Exponent, R/S Analysis, Fractal Dimension, Levy Stability - posted 16 May 2016

Notes 9: Systematics of Levy Flights, Introduction to CTRW Models of Anomalous Diffusion - reposted 27 May 2016

Notes 10: Calculating Anomalous Transport by Fractional Kinetics - posted 27 May 2016

Notes 11: Self Organized-Criticality-Intro and Basics - posted 9 June 2016

Notes 12: Self Organized Criticality: Hydrodynamic Models - posted 10 June 2016

Notes 13: Overview of Self-Organized Criticality with MFE Focus-for APTWG 2016 - reposted 20 June 2016


Student Lecture Summaries

Week 1 - R. Hajjar: Stochasticity and Stochastic Field Transport - posted 27 April 2016

Week 2 - K. Thompson: Stochastic Field Effects on Zonal Flows, Features of Ku > 1 Regime, Diffusion in GC Plasma - posted 5 May 2016

Week 3 - Y. Zhang: Models of Transport in Large Ku Regime: Taylor Cell Problem, Shear Dispersion, Intro to Percolation Theory - posted 5 May 2016

Week 4 - X. Fan: Introduction to Phase Synchronization - Lectures by Dr. Zhibin Guo - posted 11 May 2016

Week 5 - J. Li: Intermittency I: Lognormal Distribution and Multiplicative Processes, Stochastic ODE and PDE, Role of Higher Moments - posted 19 May 2016

Week 6 - R. Hong: Fractal Models of Intermittency, Beta Model, Hurst Exponent - posted 23 May 2016

Week 7 - R. Hajjar: Hurst Exponent Cont'd, Levy-Pareto, 1/f Noise, Levy Stability and Flights - posted 2 June 2016

Week 8 - K. Thompson: Theory of Continuous Time Random Walks and Fractional Kinetics - posted 6 June 2016

Week 9 - Y. Zhang: Self Organized Criticality: Basic Concepts and Hydrodynamic Models - posted 13 June 2016