ICFP Stat Physics 2017
From Werner KRAUTH
(Difference between revisions)
| Revision as of 19:18, 24 September 2017 Werner (Talk | contribs) (→Week 4 (25 September 2017): Phases and phase transitions: Van der Waals theory) ← Previous diff |
Revision as of 12:50, 27 September 2017 Werner (Talk | contribs) Next diff → |
||
| Line 75: | Line 75: | ||
| * L. Wasserman, "All of Statistics, A Concise Course in Statistical Inference" (Springer, 2005) | * L. Wasserman, "All of Statistics, A Concise Course in Statistical Inference" (Springer, 2005) | ||
| * W. Krauth, "Statistical Mechanics: Algorithms and Computations" (Oxford, 2006) | * W. Krauth, "Statistical Mechanics: Algorithms and Computations" (Oxford, 2006) | ||
| - | * M Plischke, B Bergersen, "Equilibrium Statistical Physics" (World Scientific) | + | * M Plischke, B Bergersen, "Equilibrium Statistical Physics" (World Scientific, 2006) |
| - | * L. D. Landau, E. M. Lifshitz, "Statistical Physics" (Pergamon) | + | * L. D. Landau, E. M. Lifshitz, "Statistical Physics" (Pergamon, 1969) |
| [[Category:ICFP Lectures]] | [[Category:ICFP Lectures]] | ||
Revision as of 12:50, 27 September 2017
This is the homepage for the ICFP course: Statistical Physics: Concepts and Applications that is running from 4 September 2017 through 18 December 2017. Lectures start at 8:30, on Monday mornings, and tutorials at 10:45.
Lectures: Werner KRAUTH
Tutorials (TD): Olga PETROVA, Jacopo DE NARDIS
Look here for practical information
Week 1 (4 September 2017): Probability theory
- Tutorial 01: Characteristic functions / Stable distributions (with solutions)
- Homework 01: Chebychev inequality / Rényi formula / Lévy distribution
References for Week 1:
- L. Wasserman, "All of Statistics, A Concise Course in Statistical Inference" (Springer, 2005) part 1
- W. Krauth, "Statistical Mechanics: Algorithms and Computations" (Oxford, 2006) Section 1.3.4 only - Error intervals from Chebychev inequality.
Week 2 (11 September 2017): Statistical inference
- Tutorial 02: Maximum likelihood, Bootstrap and Bayes without a computer
- Homework 02: From Maximum Likelihood to Bayes statistics Useful program:
References for Week 2:
- L. Wasserman, "All of Statistics, A Concise Course in Statistical Inference" (Springer, 2005) part 2
- W. Krauth, "Statistical Mechanics: Algorithms and Computations" (Oxford, 2006) Section 1.3.4 only
Further References for Week 2:
- B. Efron, "Maximum likelihood and decision theory" Ann. Statist. 10, 340, 1982.
- B. Efron, "Bootstrap methods: another look at the jackknife" The Annals of Statistics, 1-26, 1979.
- P. Diaconis and B. Efron, "Computer intensive methods in statistics" Scientific American 248, no. 5, pp. 116-130, 1983.
Week 3 (18 September 2017): Statistical mechanics and Thermodynamics
- Tutorial 03: Two-level systems and the entropy of ice. Maxwell's distribution.
- NB: No Homework this week. Homeworks will continue in week 4.
References for Week 3:
- Kerson Huang, "Statistical Mechanics 2nd edition" (1987) (Tutorial Problem 1).
- L. Pauling, J. Am. Chem. Soc. 12 (2680-2684), 1935.(Tutorial Problem 2 on residual entropy of ice).
- Bramwell, Gingras, Science 294, 1495 ( 2001) (Spin ice in pyrochlore).
Week 4 (25 September 2017): Phases and phase transitions: Van der Waals theory
- Tutorial 4: First-order phase transitions: The case of liquid crystals
- Homework 04: Van-der-Waals theory and Beyond-van-der-Waals Theory, an introduction
- Here is the python program for the van der Waals equation of state that you may use for homework 04.
References for Week 4:
- L. D. Landau, E. M. Lifshitz V, "Statistical Physics" (Pergamon, 1959, and later editions). NB: Chapter numbers and titles vary with edition. The following chapters all refer to the Lecture:
- Chap 73 "Conditions of phase equilibrium"
- Chap 79 "The critical point" (note that LL do not use the term "spinodal" for the points where dP/dV vanishes)
- Chap 71 "Deviations of gases from the ideal state"
- Chap 73 "Van der Waals' equation"
- Chap 82 "The law of corresponding states"
- Chap 152 (in some editions only) "Van der Waals theory of the critical point"
- Chap 21 "Thermodynamic inequalities" (dP/dV < 0 is not strictly valid (!!) in finite systems - see homework)
- R. A. Sauerwein, M. J. De Oliveira "Lattice model for biaxial and uniaxial nematic liquid crystals" J. of Chem. Phys. 144, 194904 (2016, Tutorial)
- J. E. Mayer, W. W. Wood, "Interfacial Tension Effects in Finite, Periodic, Two-Dimensional Systems", Journal of Chemical Physics, 42, 4268 (1965, for the homework)
Week 5 (02 October 2017): Hard spheres and the Ising model in one dimension (Transfer matrix 1/2)
Week 6 (09 October 2017): Two-dimensional Ising model: From Ising to Onsager (Transfer matrix 2/2)
Week 7 (16 October 2017): Two-dimensional Ising model: From Kramers & Wannier to Kac & Ward (Low- and high-temperature expansions)
Week 8 (23 October 2017): The three pillars of mean-field theory (Transitions and order parameters 1/2)
Week 9 (06 November 2017): Landau theory (Transitions and order parameters 2/2)
Week 10 (13 November 2017): Kosterlitz-Thouless physics in two dimensions: The XY model (Transitions without order parameters 1/2)
Week 11 (20 November 2017): Kosterlitz-Thouless physics in two dimensions: KTHNY Melting theory (Transitions without order parameters 2/2)
Week 12 (27 November 2017): The renormalization group - an introduction
Week 13 (04 December 2017): Quantum statistics 1/2: Ideal Bosons
Week 14 (11 December 2017): Quantum statistics 2/2: 4He and the 3D Heisenberg model, Non-classical rotational inertia
Week 15 (18 December 2017): The Fluctuation-Dissipation theorem (an introduction)
References
Lecture notes are not yet available. A few essential references are given each week. ICFP students can access these references from within the Department (you may for example connect to Web of Science, and download them from there). You may also ask the library staff at 29 rue d'Ulm.
Books
- L. Wasserman, "All of Statistics, A Concise Course in Statistical Inference" (Springer, 2005)
- W. Krauth, "Statistical Mechanics: Algorithms and Computations" (Oxford, 2006)
- M Plischke, B Bergersen, "Equilibrium Statistical Physics" (World Scientific, 2006)
- L. D. Landau, E. M. Lifshitz, "Statistical Physics" (Pergamon, 1969)
