Dear Students,
first I forgot to make my Christmas wishes to you at the end of my last lecture; sorry for that.
Below you will find a preliminary list of "projects" among which you need to choose the one you will present at the exam. During the exam I will make questions only about issues related to your presentation.
Concerning exam date I will be flexible; we can agree on different dates with respect to the official one.
You can e-mail to me the project you wish to select. A given project should be selected by only one of you. For this reason I will set a (first) deadline on next Sunday, December 29th (at midnight). On Monday 30th, I will deal with possible double requests for the same project.
The projects are roughly divided into 3 classes (although in a couple of cases they are a mixture): book sections/chapters to read and report on, scientific papers to read and report on, numerical simulations to perform and report on. You are welcome to propose a specific project you are interested in, or to propose a generic subject (I will try to find a relevant paper).
I refer to paper by last author's name. I will upload all of them on Moodle later on today. In cases where you find more papers referring to the same topics in the list (e.g. reaction-diffusion models), each paper corresponds to a different project.
The list is preliminary, because
it lacks the topics of the January lectures. I may also add later on
other projects on topics already covered.
The topics of the last 4 lectures should be: computation of quenched free energy and participation ratio within REM by using the replica trick (1 lecture); Jarzynski equality and fluctuation theorem (2-3 lectures); generalized ensemble methods in Monte Carlo simulations (0-1 lectures).
Livi-Politi book
1) Random Walk with Absorbing Barriers (1.5.2) + Stationary Diffusion with Absorbing Barriers (1.6.3) + Isotropic and Anisotropic Random Walk in a Trap (D.5,D.6) with application to Compact Directed Percolation (4.2.1) + numerical simulations of lattice random walk with absorbing trap
2) Generalized Random Walks + Anomalous Diffusion (chapter 1.7) + Sokolov Paper
4) Thermoelectric effects (quick recap of Seebeck, Peltier + Thomson Joule) + thermo-magnetic and galvano-metric effects (2.8.2)
6) Interface Roughness: scaling, exponents, self-affinity; general derivation of WE,KPZ equations (5.2, 5.3, 5.4, 5.5)
Mezard-Montanari book
9) Introduction to Combinatorial Optimization and Complexity classes (P vs NP): (chapter 3)
12) Domany-Kinzel model (d=1+1), evaluation of rho(t,p) -> quenched average (q fixed), omogeneous initial conditions: find p_c and critical exponent using phenomenological scaling -> fig. 20 Hinrichsen 2001
13) Contact processes (1+1) DP vs. DyP (p2 = 0; p2>0): find transition point and critical exponents for Dyp
14) Parity conserving model (1+1): PC vs DP; find transition point and critical exponents
15) More inactive states: DP2 vs. DP: find transition point and critical exponents
16) Bak-Sneppen model (d=1): statistics of avalanches and power laws
17) TASEP model with open boundary conditions: (random or zero initial conditions) find asymptotic stationary density profiles in the different phases
18) BRIDGE model: (random or zero initial conditions) find asymptotic stationary density profiles in the different phases
19) Comparison of Metropolis vs. Wang-Landau: ising 2d and/or spin glass (2d)
SCIENTIFIC PAPERS
20) Review SOC: Gros, Chakrabarti
21) Review Bak-Sneppen model: Pang
22) Review percolation: Sabari
23) Review heteropolymers: Tanaka
24) Review Maximum entropy methods to study protein sequences: Weigt
25) Review KPZ: Corwin
26) Review of Reaction-Diffusion models: Voit, Frey, Galic, Luthey-Schulten
27) Non equilibrium statistical physics: Attard, Van den Broek