PHYS 235 - Nonlinear Plasma Theory - Diamond [SP22]

Course Modules

Modules Settings

Introduction

Introduction Introduction

Read the syllabus and other course handouts Page

Read the syllabus and other course handouts Read the syllabus and other course handouts 1

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Phys 235 Topics Spring 2022 Attachment

Phys 235 Topics Spring 2022 Phys 235 Topics Spring 2022 2

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Phys235_Syllabus_S2022 Attachment

Phys235_Syllabus_S2022 Phys235_Syllabus_S2022 3

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Context Module Sub Header

Student Lecture Summaries-Spring 2022 4

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Check your Notification Settings Page

Check your Notification Settings Check your Notification Settings 5

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Context Module Sub Header

Helpful Links 6

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Important Dates: UCSD Academic and Administrative Calendar, 2021-2022 External Url

Important Dates: UCSD Academic and Administrative Calendar, 2021-2022 Important Dates: UCSD Academic and Administrative Calendar, 2021-2022 7

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Lecture Videos

Lecture Videos Lecture Videos

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Registered students 1

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Context Module Sub Header

Log in to Canvas and view under Media Gallery 2

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Context Module Sub Header

Non-registered students 3

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Context Module Sub Header

View on UC San Diego MediaSpace: 4

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MediaSpace video playlist for PHYS 235 External Url

MediaSpace video playlist for PHYS 235 MediaSpace video playlist for PHYS 235 5

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Context Module Sub Header

or copy URL: https://mediaspace.ucsd.edu/playlist/dedicated/232710043/1_7oftgobs/ 6

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Seminars

Seminars Seminars

SoCal Plasma Zoom seminar recordings External Url

SoCal Plasma Zoom seminar recordings SoCal Plasma Zoom seminar recordings 4

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Transport in Stochastic Magnetic Fields and related Hamiltonian Systems-Ku<1

Transport in Stochastic Magnetic Fields and related Hamiltonian Systems-Ku<1 Transport in Stochastic Magnetic Fields and related Hamiltonian Systems-Ku<1

Chandrasekhar: Stochastic Problems Attachment

Chandrasekhar: Stochastic Problems Chandrasekhar: Stochastic Problems 1

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Notes 1: Overview and Stochastic Fields 1 Attachment

Notes 1: Overview and Stochastic Fields 1 Notes 1: Overview and Stochastic Fields 1 2

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Magnetic Field Lines-Dynamical System Attachment

Magnetic Field Lines-Dynamical System Magnetic Field Lines-Dynamical System 3

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Quasilinear Lectures-TheoryApplications Attachment

Quasilinear Lectures-TheoryApplications Quasilinear Lectures-TheoryApplications 4

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Notes 2: Stochastic Fields 2 – Heat Transport Attachment

Notes 2: Stochastic Fields 2 – Heat Transport Notes 2: Stochastic Fields 2 – Heat Transport 5

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Collisional Stochastic B Heat Transport.pdf Attachment

Collisional Stochastic B Heat Transport.pdf Collisional Stochastic B Heat Transport.pdf 6

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Diffusion in stochastic magnetic fields-Summary Attachment

Diffusion in stochastic magnetic fields-Summary Diffusion in stochastic magnetic fields-Summary 7

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Notes 3 : Momentum and Particle Transport-Stresses Attachment

Notes 3 : Momentum and Particle Transport-Stresses Notes 3 : Momentum and Particle Transport-Stresses 8

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Particle and momentum transport in stochastic-fields-Summary Attachment

Particle and momentum transport in stochastic-fields-Summary Particle and momentum transport in stochastic-fields-Summary 9

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Chaos in Hamiltonian Systems-Ott Attachment

Chaos in Hamiltonian Systems-Ott Chaos in Hamiltonian Systems-Ott 10

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Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces - A.B. Rechester and M.N. Rosenbluth Attachment

Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces - A.B. Rechester and M.N. Rosenbluth Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces - A.B. Rechester and M.N. Rosenbluth 11

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Electron Heat Conductivity of the Plasma Across a "Braided" Magnetic Field - B.B. Kadomtsev and O.P. Pogutse Attachment

Electron Heat Conductivity of the Plasma Across a "Braided" Magnetic Field - B.B. Kadomtsev and O.P. Pogutse Electron Heat Conductivity of the Plasma Across a "Braided" Magnetic Field - B.B. Kadomtsev and O.P. Pogutse 12

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Particle Transport and Rotation Damping due to Stochastic Magnetic Field Lines Attachment

Particle Transport and Rotation Damping due to Stochastic Magnetic Field Lines Particle Transport and Rotation Damping due to Stochastic Magnetic Field Lines 13

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Transport at Large Kubo Number; Percolation Models

Transport at Large Kubo Number; Percolation Models Transport at Large Kubo Number; Percolation Models

Linear Response and Kubo Formalism Attachment

Linear Response and Kubo Formalism Linear Response and Kubo Formalism 1

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Percolation, statistical topography and transport in random media - M.B. Isichenko Attachment

Percolation, statistical topography and transport in random media - M.B. Isichenko Percolation, statistical topography and transport in random media - M.B. Isichenko 2

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Notes 4: To Large Kubo Number – 2-D, Diffusion, Contours, Percolation Attachment

Notes 4: To Large Kubo Number – 2-D, Diffusion, Contours, Percolation Notes 4: To Large Kubo Number – 2-D, Diffusion, Contours, Percolation 3

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Effective Plasma Heat Conductivity in "Braided" Magnetic Field-II. Percolation Limit Attachment

Effective Plasma Heat Conductivity in "Braided" Magnetic Field-II. Percolation Limit Effective Plasma Heat Conductivity in "Braided" Magnetic Field-II. Percolation Limit 4

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Notes 5: Taylor Problem, Shear Dispersion, Percolation I Attachment

Notes 5: Taylor Problem, Shear Dispersion, Percolation I Notes 5: Taylor Problem, Shear Dispersion, Percolation I 5

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Shear Dispersion Notes Attachment

Shear Dispersion Notes Shear Dispersion Notes 6

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Taylor Dispersion Notes Attachment

Taylor Dispersion Notes Taylor Dispersion Notes 7

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Diffusion in shear flows made easy: the Taylor limit - Ronald Smith Attachment

Diffusion in shear flows made easy: the Taylor limit - Ronald Smith Diffusion in shear flows made easy: the Taylor limit - Ronald Smith 8

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Shear dispersion - W.R. Young and Scott Jones Attachment

Shear dispersion - W.R. Young and Scott Jones Shear dispersion - W.R. Young and Scott Jones 9

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Notes 6: Percolation Theory 1 Attachment

Notes 6: Percolation Theory 1 Notes 6: Percolation Theory 1 10

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Zeldovich, et al. - Percolation and Random Barriers Attachment

Zeldovich, et al. - Percolation and Random Barriers Zeldovich, et al. - Percolation and Random Barriers 11

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Zeldovich 1983, Stationary, Random 2-D Fields Attachment

Zeldovich 1983, Stationary, Random 2-D Fields Zeldovich 1983, Stationary, Random 2-D Fields 12

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Vorticity Percolation Clusters-Boffetta,et al Attachment

Vorticity Percolation Clusters-Boffetta,et al Vorticity Percolation Clusters-Boffetta,et al 13

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Notes 7 :Percolation Theory 2 Attachment

Notes 7 :Percolation Theory 2 Notes 7 :Percolation Theory 2 14

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Taylor and McNamara on GC Plasma Attachment

Taylor and McNamara on GC Plasma Taylor and McNamara on GC Plasma 15

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Rosenbluth, et al. on Effective Diffusion in Cellular Convective Flows Attachment

Rosenbluth, et al. on Effective Diffusion in Cellular Convective Flows Rosenbluth, et al. on Effective Diffusion in Cellular Convective Flows 16

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Broadbent and Hammersley on Percolation Theory Attachment

Broadbent and Hammersley on Percolation Theory Broadbent and Hammersley on Percolation Theory 17

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Kirkpatrick on "Percolation and Conduction" Attachment

Kirkpatrick on "Percolation and Conduction" Kirkpatrick on "Percolation and Conduction" 18

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Stauffer on "Scaling Theory of Percolation Clusters" Attachment

Stauffer on "Scaling Theory of Percolation Clusters" Stauffer on "Scaling Theory of Percolation Clusters" 19

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Zeldovich on Percolation of Stationary Magnetic Fields Attachment

Zeldovich on Percolation of Stationary Magnetic Fields Zeldovich on Percolation of Stationary Magnetic Fields 20

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Dykhne on Conduction in Random Media Attachment

Dykhne on Conduction in Random Media Dykhne on Conduction in Random Media 21

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Intermittency and Transport: From Diffusion to Flights

Intermittency and Transport: From Diffusion to Flights Intermittency and Transport: From Diffusion to Flights

Zeldovich et al on Basic Concepts in Intermittency Attachment

Zeldovich et al on Basic Concepts in Intermittency Zeldovich et al on Basic Concepts in Intermittency 1

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Notes 8: Intermittency 1 Attachment

Notes 8: Intermittency 1 Notes 8: Intermittency 1 2

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Supplement 1: Kinetics 1 Attachment

Supplement 1: Kinetics 1 Supplement 1: Kinetics 1 3

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Supplement 2: Kinetics 2 Attachment

Supplement 2: Kinetics 2 Supplement 2: Kinetics 2 4

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Notes 8 : Addendum: Diffusion on Random Potential Attachment

Notes 8 : Addendum: Diffusion on Random Potential Notes 8 : Addendum: Diffusion on Random Potential 5

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Zeldovich, et al-Intermittency in Random Media Attachment

Zeldovich, et al-Intermittency in Random Media Zeldovich, et al-Intermittency in Random Media 6

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Supplement 4: Basic OV Lecture on Turbulence Attachment

Supplement 4: Basic OV Lecture on Turbulence Supplement 4: Basic OV Lecture on Turbulence 7

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Notes 9: Intermittency 2 Attachment

Notes 9: Intermittency 2 Notes 9: Intermittency 2 8

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Kolmogorov 41 Attachment

Kolmogorov 41 Kolmogorov 41 9

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Kolmogorov 61-Enter Intermittency Attachment

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Frisch, Sulem, and Nelkin (1978) on Beta Model Attachment

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Mandelbrot OV of Self-Affine Processes Attachment

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Notes 9: Addendum: Multifractality in Turbulence Attachment

Notes 9: Addendum: Multifractality in Turbulence Notes 9: Addendum: Multifractality in Turbulence 13

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Frisch on Scaling and Multifractals Attachment

Frisch on Scaling and Multifractals Frisch on Scaling and Multifractals 14

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Notes 10: Fractional Brownian Motion, Hurst Parameter, 1/f Noise Attachment

Notes 10: Fractional Brownian Motion, Hurst Parameter, 1/f Noise Notes 10: Fractional Brownian Motion, Hurst Parameter, 1/f Noise 15

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Mandelbrot and Wallis 1968: Noah, Joseph Effects and Operational Hydrology Attachment

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Mandelbrot on Models of Price Changes Attachment

Mandelbrot on Models of Price Changes Mandelbrot on Models of Price Changes 17

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On 1/f Processes-Montroll and Shlesinger Attachment

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Notes 11 : L-Stable Distributions,Levy Walks ,etc Attachment

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Zaslavsky on Levy Flights Attachment

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Levy Stable Distributions-Mainardi Attachment

Levy Stable Distributions-Mainardi Levy Stable Distributions-Mainardi 21

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Weierstass Walk: Hughes, Shlesinger,Montroll Attachment

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Notes 12: Physics of Levy Flights, CTRW and Fractional Kinetics I Attachment

Notes 12: Physics of Levy Flights, CTRW and Fractional Kinetics I Notes 12: Physics of Levy Flights, CTRW and Fractional Kinetics I 23

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Vlahos, et al.: Elementary Tutorial on Normal and Anomalous Diffusions Attachment

Vlahos, et al.: Elementary Tutorial on Normal and Anomalous Diffusions Vlahos, et al.: Elementary Tutorial on Normal and Anomalous Diffusions 24

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Zaslavsky on General Aspects of Kinetics Attachment

Zaslavsky on General Aspects of Kinetics Zaslavsky on General Aspects of Kinetics 25

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Mandelbrot 1960: Pareto-Levy Law Attachment

Mandelbrot 1960: Pareto-Levy Law Mandelbrot 1960: Pareto-Levy Law 26

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Klafter: Anomalous Diffusion Attachment

Klafter: Anomalous Diffusion Klafter: Anomalous Diffusion 27

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Levy Flights in Rotating Flows-Swinney Group Attachment

Levy Flights in Rotating Flows-Swinney Group Levy Flights in Rotating Flows-Swinney Group 28

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Summary by Chang-Chun Chen: Fractal Brownian Motion,Levy Flights.pdf Attachment

Summary by Chang-Chun Chen: Fractal Brownian Motion,Levy Flights.pdf Summary by Chang-Chun Chen: Fractal Brownian Motion,Levy Flights.pdf 29

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Supplement 3: Another Look at Fokker Planck Attachment

Supplement 3: Another Look at Fokker Planck Supplement 3: Another Look at Fokker Planck 30

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Notes 13 : Introduction to Fractional Kinetics Attachment

Notes 13 : Introduction to Fractional Kinetics Notes 13 : Introduction to Fractional Kinetics 31

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Zaslavsky: Fractional Kinetics and Anomalous Transport Attachment

Zaslavsky: Fractional Kinetics and Anomalous Transport Zaslavsky: Fractional Kinetics and Anomalous Transport 32

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Zaslavsky on Fractional Kinetics Attachment

Zaslavsky on Fractional Kinetics Zaslavsky on Fractional Kinetics 33

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Notes 14: More on CTRW and FK; Montroll–Weiss Equation Attachment

Notes 14: More on CTRW and FK; Montroll–Weiss Equation Notes 14: More on CTRW and FK; Montroll–Weiss Equation 34

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Avalanches and SOC ; Directed Percolation and Spreading

Avalanches and SOC ; Directed Percolation and Spreading Avalanches and SOC ; Directed Percolation and Spreading

Notes 15: Self-organized Criticality and Avalanches I Attachment

Notes 15: Self-organized Criticality and Avalanches I Notes 15: Self-organized Criticality and Avalanches I 1

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Notes 16: SOC II — Hydrodynamic Models of Avalanche Turbulence Attachment

Notes 16: SOC II — Hydrodynamic Models of Avalanche Turbulence Notes 16: SOC II — Hydrodynamic Models of Avalanche Turbulence 2

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Notes 17: "Noisy Burgulence" and Turbulence Closures Attachment

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Notes 18: Avalanching and SOC Phenomena in MFE Plasmas Attachment

Notes 18: Avalanching and SOC Phenomena in MFE Plasmas Notes 18: Avalanching and SOC Phenomena in MFE Plasmas 4

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Lecture Notes -- Spring 2019

Lecture Notes -- Spring 2019 Lecture Notes -- Spring 2019

Supplement – MHD Turbulence 1 Attachment

Supplement – MHD Turbulence 1 Supplement – MHD Turbulence 1 3

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Supplement – MHD Turbulence 2 Attachment

Supplement – MHD Turbulence 2 Supplement – MHD Turbulence 2 4

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Supplement 1: Basics of Turbulence Attachment

Supplement 1: Basics of Turbulence Supplement 1: Basics of Turbulence 16

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Supplement 2: Notes on Turbulence Attachment

Supplement 2: Notes on Turbulence Supplement 2: Notes on Turbulence 17

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Supplement 3: Fluids in Flatland (2-D) Attachment

Supplement 3: Fluids in Flatland (2-D) Supplement 3: Fluids in Flatland (2-D) 18

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Notes 19: A Look at Other Directions Attachment

Notes 19: A Look at Other Directions Notes 19: A Look at Other Directions 30

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Supplementary Materials -- Spring 2019

Supplementary Materials -- Spring 2019 Supplementary Materials -- Spring 2019

Context Module Sub Header

Zonal Flows and Pattern Formation 1

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Diamond, et al., Eikonal Approach Attachment

Diamond, et al., Eikonal Approach Diamond, et al., Eikonal Approach 2

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Itoh, et al., Supplement Attachment

Itoh, et al., Supplement Itoh, et al., Supplement 3

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Gurcan, Diamond: Envelope Approach Attachment

Gurcan, Diamond: Envelope Approach Gurcan, Diamond: Envelope Approach 4

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Context Module Sub Header

Percolation Theory 5

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Wildfire Attachment

Wildfire Wildfire 6

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Boffetta et al. on "Clusters in Conformally Invariant 2-D Turbulence" Attachment

Boffetta et al. on "Clusters in Conformally Invariant 2-D Turbulence" Boffetta et al. on "Clusters in Conformally Invariant 2-D Turbulence" 7

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Gruzinov, et al. on "Two Dimensional Turbulent Diffusion" Attachment

Gruzinov, et al. on "Two Dimensional Turbulent Diffusion" Gruzinov, et al. on "Two Dimensional Turbulent Diffusion" 9

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Context Module Sub Header

Traffic Flow and Flocking 14

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D. Helbing: Review of Traffic Flow. See also Whitham. Attachment

D. Helbing: Review of Traffic Flow. See also Whitham. D. Helbing: Review of Traffic Flow. See also Whitham. 15

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Toner and Tu: Hydrodynamic Theory of Flocking Attachment

Toner and Tu: Hydrodynamic Theory of Flocking Toner and Tu: Hydrodynamic Theory of Flocking 16

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Marchetti et al: Review of Hydrodynamics of Soft Active Matter Attachment

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Context Module Sub Header

Long Correlation Time and Random Media 18

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Context Module Sub Header

Background on Stochasticity and Chaos 22

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Destruction of Magnetic Surfaces by Magnetic Field Irregularities Attachment

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Calculating in the Chaotic Regime Attachment

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FAQ's re Calculation in Chaotic Regime Attachment

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Context Module Sub Header

Transport in Stochastic Fields 28

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Chandran et al. 1998, Thermal Conduction in Tangle Attachment

Chandran et al. 1998, Thermal Conduction in Tangle Chandran et al. 1998, Thermal Conduction in Tangle 30

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Narayan and Medvedev 2001, Thermal Conduction in Cooling Flows Attachment

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Context Module Sub Header

Transport and Shear Dispersion 37

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Dispersion of soluble matter in solvent flowing slowly through a tube Attachment

Dispersion of soluble matter in solvent flowing slowly through a tube Dispersion of soluble matter in solvent flowing slowly through a tube 40

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The dispersion of matter in turbulent flow thorugh a pipe - Sir Geoffrey Taylor, F.R.S. Attachment

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Context Module Sub Header

Hamiltonian Chaos 44

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Ford on FPU Problem Attachment

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Intermittency and Fractal Models 46

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Touchette: Review of Large Deviation Theory Attachment

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R. S. Ellis: Large Deviations – from Boltzmann to 2-D Turbulence Attachment

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Boffetta et al. on Multifractals Attachment

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Mandelbrot on Distributions Attachment

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Context Module Sub Header

Phase Dynamics and Synchronization 58

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Strogatz - From Kuramoto to Crawford - Exploring the Onset of Synchronization in Populations of Coupled Oscillators Attachment

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Kuramoto - Chemical Oscillations, Waes and Turbulence - Volume 19 Attachment

Kuramoto - Chemical Oscillations, Waes and Turbulence - Volume 19 Kuramoto - Chemical Oscillations, Waes and Turbulence - Volume 19 60

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Context Module Sub Header

Intermittency II: Characterization: Hurst Exponent, R/S Analysis, Levy-Pareto Distributions 61

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Gardiner: Stochastic Methods Attachment

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Context Module Sub Header

Anomalous Diffusion and Fractional Kinetics 69

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Mandelbrot on Fractional Random Walks Attachment

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Context Module Sub Header

Self-Organized Criticality, Sandpiles, Relaxation 79

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Bak, Tang, Wisenfeld - Pile PRL Attachment

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Bak, Tang, Wiesenfled-Extended Attachment

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Hwa and Kardar-Hydrodynamic Model Attachment

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Soenette and Sornette-SOC and Earthquakes Attachment

Soenette and Sornette-SOC and Earthquakes Soenette and Sornette-SOC and Earthquakes 83

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Turcotte-Review of SOC Attachment

Turcotte-Review of SOC Turcotte-Review of SOC 84

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Kadanoff on SOC Attachment

Kadanoff on SOC Kadanoff on SOC 85

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Schelling Automata Model of Segregation Attachment

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Context Module Sub Header

Application of SOC Concepts in Confinement Physics 87

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Hahm and Diamond 2018, "Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes" Attachment

Hahm and Diamond 2018, "Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes" Hahm and Diamond 2018, "Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes" 88

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Diamond, Hahm 95: Avalanches in Confined Plasmas Attachment

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Newman 96: Pile Models of Transport Attachment

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Avalanching in Flux-Driven G-mode Simulations Attachment

Avalanching in Flux-Driven G-mode Simulations Avalanching in Flux-Driven G-mode Simulations 91

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Sheared Sand Pile Attachment

Sheared Sand Pile Sheared Sand Pile 92

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SOC OV Attachment

SOC OV SOC OV 93

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Idomura 09-Avalanching in Flux Driven GK ITG Sims Attachment

Idomura 09-Avalanching in Flux Driven GK ITG Sims Idomura 09-Avalanching in Flux Driven GK ITG Sims 94

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ExB Staircases Attachment

ExB Staircases ExB Staircases 95

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Jams in Avalanche Gas Attachment

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Carreras, et al. on H Exponent for Edge Turbulence Attachment

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