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Stochastic model of predator-prey dynamics
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Classroom Contents
Statistical Mechanics of Developed Turbulence - Lecture 1
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- 1 Statistical mechanics of developed turbulence
- 2 Syllabus
- 3 Extra things you will learn!
- 4 Propaganda
- 5 Feynman's vision: RG & Turbulence
- 6 Goal
- 7 What is turbulence?
- 8 Take-home: 2 types of universality in turbulence
- 9 What does it mean: "solve turbulence?
- 10 Solve turbulence? Predict the fluctuations at small scales
- 11 Energy cascade
- 12 Kolmogorov's similarity hypotheses
- 13 The energy spectrum
- 14 Solve turbulence? Predict the dissipation experienced at large scales ..:
- 15 Friction factor in turbulent rough pipes
- 16 Fluctuations and Dissipation
- 17 Solve turbulence? Connect the scales ...
- 18 Transitional turbulence in pipe flow: puffs
- 19 How much turbulence is in the pipe?
- 20 Turbulence & Phase Transitions
- 21 Why is fully-developed
- 22 Why is turbulence unsolved?
- 23 How was critical phenomena solved?
- 24 Transition to turbulence
- 25 Stability of laminar flow
- 26 Precision measurement of turbulent transition
- 27 Pipe flow turbulence
- 28 Theory for the laminar-turbulent transition in pipe flow
- 29 Logic of modeling phase transitions
- 30 Identification of long-wavelength collective modes at the laminar- turbulent transition
- 31 Digression: how we should use computer simulation as a tool to make discoveries
- 32 Computer Simulation & Excessive Realism
- 33 DNS of 3D Navier-Stokes equations
- 34 Predator-prey oscillations in pipe flow
- 35 What drives the zonal flow?
- 36 Stochastic model of predator-prey dynamics
- 37 Derivation of predator-prey equations
- 38 Stochastic predator-prey recapitulates turbulence data
- 39 Pipe flow turbulence
- 40 "Puff splitting" in predator-prey systems
- 41 Roadmap: Universality class of laminar-turbulent transition
- 42 Directed percolation & the laminar- turbulent transition
- 43 Directed percolation transition
- 44 DP in 3 + 1 dimensions in pipe
- 45 Origin of superexponential scaling
- 46 Directed percolation vs. transitional turbulence
- 47 Universality class of predator-prey system near extinction
- 48 Q&A
