Statistical mechanics of developed turbulence (Lecture 1) by Nigel Goldenfeld

PROGRAM

BANGALORE SCHOOL ON STATISTICAL PHYSICS - XI (ONLINE)

ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit

DATE:29 June 2020 to 10 July 2020

VENUE:Online

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through online lectures.

This advanced level school is the eleventh in the series.

This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.

Nonequilibrium response theory by Urna Basu (RRI, Bengaluru, India)
Topology in statistical physics by Subhro Bhattacharjee (ICTS, Bengaluru, India)
Statistical mechanics of developed turbulence by Nigel Goldenfeld (University of Illinois, Urbana-Champaign, US)
Statistical physics of rare events and large deviations by Yariv Kafri (Technion -
Israel Institute of Technology, Haifa, Israel)

CONTACT US: bssp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/bssp2020

Table of Contents (powered by https://videoken.com)
0:00:00 Statistical mechanics of developed turbulence
0:01:22 Syllabus
0:03:13 Extra things you will learn!
0:04:40 Propaganda
0:04:47 Feynman's vision: RG & Turbulence
0:07:33 Goal
0:10:57 What is turbulence?
0:15:19 Take-home: 2 types of universality in turbulence
0:16:16 What does it mean: "solve turbulence?
0:16:19 Solve turbulence? Predict the fluctuations at small scales
0:16:38 Energy cascade
0:18:55 Kolmogorov's similarity hypotheses
0:22:44 The energy spectrum
0:27:57 Solve turbulence? Predict the dissipation experienced at large scales ..:
0:28:42 Friction factor in turbulent rough pipes
0:30:52 Fluctuations and Dissipation
0:32:20 Solve turbulence? Connect the scales ...
0:32:30 Transitional turbulence in pipe flow: puffs
0:33:49 How much turbulence is in the pipe?
0:34:58 Turbulence & Phase Transitions
0:35:58 Why is fully-developed
0:36:02 Why is turbulence unsolved?
0:41:06 How was critical phenomena solved?
0:42:45 Transition to turbulence
0:42:52 Stability of laminar flow
0:43:07 Precision measurement of turbulent transition
0:45:08 Pipe flow turbulence
0:51:18 Theory for the laminar-turbulent transition in pipe flow
0:52:05 Logic of modeling phase transitions
0:55:50 Identification of long-wavelength collective modes at the laminar- turbulent transition
0:56:19 Digression: how we should use computer simulation as a tool to make discoveries
0:56:27 Computer Simulation & Excessive Realism
1:02:05 DNS of 3D Navier-Stokes equations
1:02:25 Predator-prey oscillations in pipe flow
1:03:54 What drives the zonal flow?
1:06:46 Stochastic model of predator-prey dynamics
1:08:29 Derivation of predator-prey equations
1:10:23 Stochastic predator-prey recapitulates turbulence data
1:10:35 Pipe flow turbulence
1:12:57 "Puff splitting" in predator-prey systems
1:15:24 Roadmap: Universality class of laminar-turbulent transition
1:16:08 Directed percolation & the laminar- turbulent transition
1:19:16 Directed percolation transition
1:19:59 DP in 3 + 1 dimensions in pipe
1:20:19 Origin of superexponential scaling
1:21:20 Directed percolation vs. transitional turbulence
1:24:06 Universality class of predator-prey system near extinction
1:24:25 Q&A

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