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

Wildfiresposted 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 Flockingposted 06 June 2019

Marchetti et al: Review of Hydrodynamics of Soft Active Matterposted 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 Fieldsposted 04 April 2019

Chandran et al. 1998, Thermal Conduction in Tangleposted 04 April 2019

Narayan and Medvedev 2001, Thermal Conduction in Colling Flowsposted 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 Theoryposted 29 April 2019

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

Chandrasekhar: Stochastic Problemsposted 29 April 2019

Boffetta et al. on Multifractalsposted 06 May 2019

Frisch on Scaling and Multifractalsposted 06 May 2019

Frisch, Sulem, and Nelkin (1978) on Beta Modelposted 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