Statistcal Physics Homework Exercises James Sethna https://sethna.lassp.cornell.edu/Teaching/653/

Fall 2018

1. Week 1:
   • Overview
   • In class exercises
   • Homework exercises
     • Crackling noises
     • Earthquakes in 1995
     • Magnetic Barkhausen noise (simulated with our model)
     • Paper crumpling
     • Fire
     • Rice Krispies^TM
     • Period doubling audio file, near the onset of chaos, and source mathematica file, courtesy of Erich Mueller.
2. Week 2:
   • In class exercises
     • Ising Universality presentation
     • Mean-field theory presentation
   • Homework exercises
3. Week 3:
   • Reading Thursday:
     • Statistics and nonlinear fits
     • Universally Sloppy Parameter Sensitivities in Systems Biology, Ryan N. Gutenkunst, Joshua J. Waterfall, Fergal P. Casey, Kevin S. Brown, Christopher R. Myers, James P. Sethna, PLoS Comput Biol 3, e189 (2007).
   • Reading Tuesday: Why are non- linear fits to data so challenging?, Mark K. Transtrum, Benjamin B. Machta, and James P. Sethna, Phys. Rev. Lett. 104, 060201 (2010).
   • In class exercises
   • In class presentations on sloppy models
   • Homework exercises
4. Week 4:
   • In class exercises
   • Homework exercises
5. Week 5:
   • Reading Tuesday: Perspective: Sloppiness and Emergent Theories in Physics, Biology, and Beyond, Mark K. Transtrum, Benjamin B. Machta, Kevin S. Brown, Bryan C. Daniels, Christopher R. Myers, and James P. Sethna, J. Chem. Phys. 143, 010901 (2015).
   • Reading Tuesday: Sloppy Models Web pages.
   • Homework exercises
6. Week 6:
   • In class exercises
   • Homework exercises
7. Week 7:
   • Reading Tuesday: Visualizing probabilistic models: Intensive Principal Component Analysis, Katherine N. Quinn, Colin B. Clement, Francesco De Bernardis, Michael D. Niemack, and James P. Sethna.
   • Reading Tuesday: Parameter Space Compression Underlies Emergent Theories and Predictive Models, Benjamin B. Machta, Ricky Chachra, Mark K. Transtrum, James P. Sethna, Science 342, 604-607 (2013).
   • Homework exercises
8. Week 8:
   • Reading Tuesday: Renormalization group and normal form theory, Archishman Raju, Colin B. Clement, Lorien X. Hayden, Jaron P. Kent-Dobias, Danilo B. Liarte, D. Zeb Rocklin and James P. Sethna.
   • Reading Tuesday: Reexamining the renormalization group: Period doubling onset of chaos, Archishman Raju and James P Sethna.
   • In class exercises
   • Homework exercises
9. Week 9:
   • Reading Tuesday: Model Reduction by Manifold Boundaries, Mark K. Transtrum and Peng Qiu, Phys. Rev. Lett. 113, 098701 (2014).
   • Reading Tuesday: Dissipation bound for thermodynamic control, Benjamin B. Machta, Phys. Rev. Lett. 115, 260603 (2015).
   • Homework exercises
10. Penultimate week:
    • Homework exercises

Suggestions for group projects

• Outline of RG topics
• Detailed RG topics
• References on the RG
• Detailed sloppy models topics
• References on sloppy models

Fall 2017

Classic papers using the renormalization group

New version of continuous phase transitions chapter in EOPC

1. Week 1:
   • In class exercises
     • Crackling noises
     • Earthquakes in 1995
     • Magnetic Barkhausen noise (simulated with our model)
     • Paper crumpling
     • Fire
     • Rice Krispies^TM
     • Period doubling audio file, near the onset of chaos, and source mathematica file, courtesy of Erich Mueller.
   • Homework exercises
     • Mathematica notebook, or download pdf
     • Python notebook (download, run 'ipython notebook', then select this file). View notebook directly, or download pdf.
     • Ising snapshot at the critical temperature
     • Ising snapshot at temperature T = 100
     • Ising snapshot at temperature T = 3
     • 2048x2048 Ising snapshot at the critical temperature
   • Week 2:
     • In class exercises
     • Homework exercises
   • Week 3:
     • In class exercises
     • Homework exercises
   • Week 4:
     • In class exercises
     • Homework exercises
   • Week 5:
     • Homework exercises
   • Week 6:
     • Homework exercises
   • Week 7:
     • Homework exercises
   • Week 8:
     • Homework exercises
   • Week 9:
     • Homework exercises, class presentation assignments
   • Week 10:
     • Homework exercises, class presentation assignments
   • Week 11:
     • Homework exercises, class presentation assignments
     • Mijo Ghosh's Introduction to the BKT Phase Transition
   • Week 12:
     • Homework exercises, class presentation assignments
     • David Hathcock's presentation KT, XY, and grown networks
     • Qingyang Xu's CFT notes
   • Week 13:
     • Homework exercises

Presentations 2017

• Mijo Ghosh's Introduction to the BKT Phase
• Hil Fung (Harry) Cheung, Coarsening and the RG
• Florian Theuss, Functional RG
• David Hathcock's presentation KT, XY, and grown networks
• Qingyang Xu's CFT notes

Fall 2015

Description of advanced topics for group projects

1. Assignment 1: Litany of critical phenomena
   • Assignment
   • Crackling noises
     • Earthquakes in 1995
     • Magnetic Barkhausen noise (simulated with our model)
     • Paper crumpling
     • Fire
     • Rice Krispies^TM
     
   • Period doubling audio file, near the onset of chaos, and source mathematica file, courtesy of Erich Mueller.
2. Assignment 2: Mean field theory
   • Assignment
   • Hysteresis and Hierarchies (avalanches paper)
3. Assignment 3: The ideas behind the renormalization group
4. Assignment 4: Low dimensional systems
5. Assignment 5: Superconductivity and the Renormalization Group

Fall 2010

1. Assignment 1: Litany of critical phenomena
   • Assignment
   • Crackling noises
     • Earthquakes in 1995
     • Magnetic Barkhausen noise (simulated with our model)
     • Paper crumpling
     • Fire
     • Rice Krispies^TM
     
   • Period doubling audio file, near the onset of chaos, and source mathematica file, courtesy of Erich Mueller.
2. Assignment 2: Mean field theory
   • Assignment
   • Hysteresis and Hierarchies (avalanches paper)
3. Assignment 3: The ideas behind the renormalization group
4. Assignment 4: Low dimensional systems
5. Assignment 5: Superconductivity and the Renormalization Group

Fall 2009

• Assignment 5: Computational complexity and ε-expansions
• Assignment 6: Networks and Equilibrium Crystal Shapes

Fall 2008

Various advanced topic info

• Conformal field theory
• Quantum phase transitions
• Fermi liquid theory and the renormalization group
• SLE