| week
|
topic
|
source(*)
|
class exercises | home exercises |
| 1
|
Random variables
Quantum / Statistical states Spectral functions |
[1]
[2] |
(0080)
0060 0150 |
0010
0020 0050 0070 0105 0160 |
| 2 | Canonical formalism
Thermodynamics |
[3]
[4] |
(2051)
(2052) 1817 2311 2351 |
2050
2160 2170 2360 |
| 3
|
Chemical Equilibrium
The grand canonical formalism (the associated exercises concern quantum gases) |
[5]
|
(2190)
(3555) 3336 3021 3745 |
3030
3040 3520 3550 |
| 4
|
Ideal Gases - Boltzmann, Fermi, Bose
(the associated exercises concern chemical equilibrium) |
[6]
|
4016
4211 |
4213
4550 |
| 5
|
The kinetic description of a gas, Boltzmann
|
[17]
|
6030
6040 |
6050
6070 |
|
|
|
|
|
|
| 6
|
System with interactions,
Virial expansion, Yang and Lee theorems. |
[7]
|
5024
5963 |
5010
5969 |
| 7
|
Ising model and its variations. | [8] |
5651
|
5645
5660 |
| 8
|
Phase Transitions -
Mean Field theory. |
[9] |
5713
5825 |
5641
5721 5732 |
| 9
|
Critical behavior -
Field theory approach. |
[10] |
5811
|
|
|
|
|
|
|
|
| 10 11 |
Fluctuations in equilibrium
Linear response theory Fluctuation-Dissipation relation |
[11]
[12] [13] |
(7050)
7010 7040 |
7020
|
| 12
|
System+Bath paradigm
Langevin Equation Fokker-Planck Equation Quantum Master Equations |
[15]
|
8034
8481 8483 8490 |
8025
8032 8484 8492 |
| 13
|
Nonequilibrium processes
Fluctuations out of equilibrium |
[20]
|
|
|
|
|
|
|
|
|
|
|
Additional exercises (optional)
|
|
|
2320
2340 4015 4215 6010 6020 |
|
|
Previous years exams |
2002
2003 2004 2011 2012 2013 2014 2015 2016 2017 2018 |
|
2160
3040
5641
2170 4215 5660 2041 3042 8032 2351 4213 8025 2041 3042 8034 2160 5980 8484 2050 5645 8490 5660 6020 7010 3022 5811 7010 3030 5660 8483 4211 5969 8492 |