Physics 235 | Spring 2019

Course Handouts

This page was last updated 06 June 2019.


Course Handouts:

Syllabus - posted 11 Mar 2019

Course Topics - posted 11 Mar 2019



Supplementary Materials


Zonal Flows and Pattern Formation

Diamond, et al., Eikonal Approach - posted 14 April 2016

Itoh, et al., Supplement - posted 14 April 2016

Gurcan, Diamond: Envelope Approach - posted 14 April 2016


Percolation Theory

Wildfires — posted 25 April 2019

Boffetta et al. on Clusters in Conformally Invariant 2-D Turbulence" — posted 25 April 2019

Broadbent and Hammersley on Percolation Theory - posted 15 April 2016

Gruzinov, et al. on "Two Dimensional Turbulent Diffusion" - posted 10 April 2016

Kirkpatrick on "Percolation and Conduction" - posted 10 April 2016

Stauffer on "Scaling Theory of Percolation Clusters" - posted 10 April 2016

Zeldovich, et al. - Percolation and Random Barriers - posted 18 April 2016

Zeldovich on Percolation of Stationary Magnetic Fields - posted 18 April 2016


Traffic Flow and Flocking

D. Helbing: Review of Traffic Flow. See also Whitham. — posted 06 June 2019

Toner and Tu: Hydrodynamic Theory of Flocking — posted 06 June 2019

Marchetti et al: Review of Hydrodynamics of Soft Active Matter — posted 06 June 2019


Long Correlation Time and Random Media

Taylor and McNamara on GC Plasma - posted 8 April 2016

Dykhne on Conduction in Random Media - posted 8 April 2016

Rosenbluth, et al. on Effective Diffusion in Cellular Convective Flows - posted 18 April 2016


Background on Stochasticity and Chaos

Chaos in Hamiltonian Systems - posted 4 April 2016

Destruction of Magnetic Surfaces by Magnetic Field Irregularities - M.N. Rosenbluth, et al. - posted 4 April 2016

Magnetic Field Lines-Dynamical System - posted 4 April 2016

Calculating in the Chaotic Regime - posted 4 April 2016

FAQ's re Calculation in Chaotic Regime - posted 4 April 2016


Transport in Stochastic Fields

Zeldovich 1983, Stationary, Random 2-D Fields — posted 04 April 2019

Chandran et al. 1998, Thermal Conduction in Tangle — posted 04 April 2019

Narayan and Medvedev 2001, Thermal Conduction in Colling Flows — posted 04 April 2019

Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces - A.B. Rechester and M.N. Rosenbluth - posted 4 April 2016

Electron Heat Conductivity of the Plasma Across a "Braided" Magnetic Field - B.B. Kadomtsev and O.P. Pogutse - posted 4 April 2016

Percolation, statistical topography and transport in random media - M.B. Isichenko - posted 4 April 2016

Effective Plasma Heat Conductivity in "Braided" Magnetic Field-II. Percolation Limit - M.B. Isichenko - posted 4 April 2016

Particle transport and rotation damping due to stochastic magnetic field lines - John M. Finn, Parvez N. Guzdar and Alexander A. Chernikov - posted 4 April 2016


Transport and Shear Dispersion

Shear Dispersion Notes - posted 7 April 2016

Taylor Dispersion Notes - posted 7 April 2016

Dispersion of soluble matter in solvent flowing slowly through a tube - Sir Geoffrey Taylor, F.R.S. - posted 4 April 2106

The dispersion of matter in turbulent flow thorugh a pipe - Sir Geoffrey Taylor, F.R.S. - posted 4 April 2016

Shear dispersion - W.R. Young and Scott Jones - posted 4 April 2016

Diffusion in shear flows made easy: the Taylor limit - Ronald Smith - posted 4 April 2016


Hamiltonian Chaos

Ford on FPU Problem - posted 18 April 2016


Intermittency and Fractal Models

Touchette: Review of Large Deviation Theory — posted 29 April 2019

R. S. Ellis: Large Deviations – from Boltzmann to 2-D Turbulence — posted 29 April 2019

Chandrasekhar: Stochastic Problems — posted 29 April 2019

Boffetta et al. on Multifractals — posted 06 May 2019

Frisch on Scaling and Multifractals — posted 06 May 2019

Frisch, Sulem, and Nelkin (1978) on Beta Model — posted 09 May 2019

Zeldovich et al on Basic Concepts in Intermittency - posted 2 May 2016

Kolmogorov 41 - posted 2 May 2016

Kolmogorov 61-Enter Intermittency - posted 2 May 2016

Mandelbrot on Distributions - posted 3 May 2016

Zeldovich, et al-Intermittency in Random Media - posted 6 May 2016


Phase Dynamics and Synchronization

Strogatz - From Kuramoto to Crawford - Exploring the Onset of Synchronization in Populations of Coupled Oscillators - posted 11 May 2016

Kuramoto - Chemical Oscillations, Waes and Turbulence - Volume 19 - posted 11 May 2016


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

Mandelbrot OV of Self-Affine Processes - posted 16 May 2016

Mandelbrot and Wallis 1968: Noah, Joseph Effects and Operational Hydrology - posted 16 May 2016

Mandelbrot 1960: Pareto-Levy Law - posted 16 May 2016

Gardiner: Stochastic Methods - posted 16 May 2016

Mandelbrot on Models of Price Changes - posted 16 May 2015

Mandelbrot on Price Variation - posted 16 May 2016

On 1/f Processes-Montroll and Shiesinger - posted 19 May 2016


Anomalous Diffusion and Fractional Kinetics

Vlahos, et al.: Elementary Tutorial on Normal and Anomalous Diffusions - posted 16 May 2016

Zaslavsky: Fractional Kinetics and Anomalous Transport - posted 16 May 2016

Klafter: Anomalous Diffusion - posted 16 May 2016

Zaslavsky on General Aspects of Kinetics - posted 18 May 2016

Zaslavsky on Levy Flights - posted 18 May 2016

Zaslavsky on Fractional Kinetics - posted 18 May 2016

Levy Flights in Rotating Flows-Swinney Group - posted 20 May 2016

Mandelbrot on Fractional Random Walks - posted 25 May 2016


Self-Organized Criticality, Sandpiles, Relaxation

Bak, Tang, Wisenfeld - Pile PRL - posted 23 May 2016

Bak, Tang, Wiesenfled-Extended - posted 23 May 2016

Hwa and Kardar-Hydrodynamic Model - posted 23 May 2016

Soenette and Sornette-SOC and Earthquakes - posted 23 May 2016

Turcotte-Review of SOC - posted 23 May 2016

Kadanoff on SOC - posted 23 May 2016

Schelling Automata Model of Segregation - posted 2 June 2016


Application of SOC Concepts in Confinement Physics

Hahm and Diamond 2018, "Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes" — posted 14 Mar 2019

Diamond, Hahm 95: Avalanches in Confined Plasmas - posted 10 June 2016

Newman 96: Pile Models of Transport - posted 10 June 2016

Avalanching in Flux-Driven G-mode Simulations - posted 10 June 2016

Sheared Sand Pile - posted 10 June 2016

SOC OV - posted 10 June 2016

Idomura 09-Avalanching in Flux Driven GK ITG Sims - posted 10 June 2016

ExB Staircases - posted 10 June 2016

Jams in Avalanche Gas - posted 10 June 2016

Carreras, et al. on H Exponent for Edge Turbulence - posted 10 June 2016