Homepage  Vivien Lecomte, LPMA
Lecture at Master 2  Erasmus Mundus Masters in Complex Systems
Theoretical analysis of complex systems
(1st semester, 2014)
Homepage of the Master
Date and place
Calendar of lecture, exams and project
Recommended reading

Mathematical tools

Recommended reading  Physical background

Going further
Outline of the lecture
To ask questions on the lectures between classes, you can use the following [Wiki website].

Lecture 1 (Wednesday, August 27th, 2014) Room PC 7
[Pdf of handwritten notes for Part Ia – pages 15]

Lecture 2 (Friday, August 29th, 2014) Room PC 7
[Pdf of handwritten notes for Part Ia – pages 59]

Lecture 3 (Friday, August 29th, 2014) Room PC 7 14:00  17:00
[Pdf of handwritten notes for Part Ib – pages 1015]

Miniproject 1 (Due date: Wednesday, October 1st, 2014)
[Pdf of Miniproject 1]

Lecture 4 (Wednesday, September 10th, 2014) Room PC 6
[Pdf of handwritten notes for Part IIa – pages 14]

Tutorial 1 (Wednesday, September 17th, 2014) Room PC 6 Arturo Leos Zamorategui
[Pdf of Tutorial 1]

Tutorial 2 (Wednesday, September 24th, 2014) Room PC 6 Arturo Leos Zamorategui

Lecture 5 (Wednesday, October 1st, 2014)
[Pdf of handwritten notes for Part IIa]

Lecture 6 (Wednesday, October 15th, 2014)
[Pdf of handwritten notes for Part IIa]

Lecture 7 (Wednesday, October 15th, 2014)
[Pdf of handwritten notes for Part IIa]

Miniproject 2 (Due date: Wednesday, November 5th, 2014)
[Pdf of Miniproject 2]

Partial Exam (Wednesday, October 22th, 2014, 10:0012:00 )
[Pdf of partial exam]

Lecture 8 (Wednesday, October 29th, 2014)
[Elements of correction for the partial exam, part 1.]

Lecture 9 (Wednesday, November 5th, 2014)

Lecture 10 (Wednesday, November 12th, 2014)

Lecture 10bis (Thursday, November 13th, 2014) 14:00  17:00

Lecture 11 (Wednesday, November 19th, 2014)

Lecture 12 (Wednesday, November 26th, 2014)

Lecture 13 (Wednesday, December 3th, 2014)

Exam (Wednesday, December 11th, 2014)
Projects (Presentation during the week of December 15th19th, 2014)

Place: most probably, LPMA, Bâtiment Sophie Germain, avenue de France, 75013 Paris.

Type of presentation:

You can either choose a subject on your own, in which you study the large deviation function of a dynamical observable using the cloning algorithm discussed during the lectures, or chose among those possible subjects and references (see also the last lecture):
 Mapping between equilibrium and nonequilibrium current fluctuation in the SSEP in contact with reservoirs:
 Dynamical phase transition between clustered and nonclustered profiles in the periodic SSEP on a ring:

Inactive dynamical phase of a symmetric exclusion process on a ring
Vivien Lecomte, Juan P. Garrahan, Frédéric van Wijland, J. Phys. A 45 175001 (2012)
[arXiv:1203.1600],
link,
paper

Universal cumulants of the current in diffusive systems on a ring
Cécile AppertRolland,
Bernard Derrida,
Vivien Lecomte and
Frédéric van Wijland,
Phys. Rev. E 78 021122 (2008)
[arXiv:0804.2590],
link,
paper
 Dynamical coexistence of phase between active and inactive regions in a KCM:

Firstorder dynamical phase transition in models of glasses: an approach based on ensembles of histories
Juan P. Garrahan, Robert L. Jack, Vivien Lecomte, Estelle Pitard, Kristina van Duijvendijk and Frédéric van Wijland,
J. Phys. A 42 075007 (2009)
[arXiv:0810.5298],
link,
paper

Finite size scaling of the dynamical freeenergy in a kinetically constrained model
Thierry Bodineau, Vivien Lecomte and Cristina Toninelli, J. Stat. Phys. 147 1 (2012)
[arXiv:1111.6394],
link,
paper

Note that you are allowed to start from the Python programs for the population algorithms we will discuss during the exercises.
References