Homepage  Vivien Lecomte, LPMA
Lecture at Master 2  Erasmus Mundus Masters in Complex Systems
Homepage of the Master
Date and place
Outline of the lecture

1st lecture (3pm  6:15pm, Tuesday, November 29th, 2011)
[Handwritten lecture notes in pdf]

2nd lecture (9am  12:15am Wednesday, November 30th, 2011)
[Handwritten lecture notes in pdf]

Pause

3rd lecture (3pm  6:15pm, Tuesday, December 6th, 2011)
[Handwritten lecture notes in pdf]

4th lecture (9am  12:15am, Wednesday, December 7th, 2011)
[Handwritten lecture notes in pdf]

Bibliographical projects
You have the choice between the following articles

Lattice models of nonequilibrium bacterial dynamics
A G Thompson, J Tailleur, M E Cates and R A Blythe,
J. Stat. Mech. (2011) P02029
[arXiv:1012.0786],
link,
paper

Parts 16 on the SSEP of Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium
Vivien Lecomte, Alberto Imparato and Frédéric van Wijland, Prog. Theor. Phys. Supplement 184 276 (2010)
[arXiv:0911.0564],
link,
paper

Parts 15 and 7 on the KMP model of Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium
Vivien Lecomte, Alberto Imparato and Frédéric van Wijland, Prog. Theor. Phys. Supplement 184 276 (2010)
[arXiv:0911.0564],
link,
paper

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

Parts I, II, IV and V of 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

Finite size scaling of the dynamical freeenergy in a kinetically constrained model
Thierry Bodineau, Vivien Lecomte and Cristina Toninelli, submitted to the Journal of Statistical Physics
[arXiv:1111.6394]

Numerical projects
The exercice consists in determining the large deviation function
psi(s) of a time extensive observable (like the current of the
activity) in simple systems, both by direct diagonalisation of the
modified operator of evolution, and by using cloning algorithms in
continuous time.
References are:

Simulating rare events in dynamical processes
Cristian Giardinà, Jorge Kurchan, Vivien Lecomte, Julien Tailleur, J. Stat. Phys. 145 787 (2011)
[arXiv:1106.4929],
link,
paper

Simulation of large deviation functions using population dynamics
Julien Tailleur and Vivien Lecomte,
Proceedings of the
10th Granada Seminar on Computational and Statistical Physics, (Granada, 2008),
AIP Conf. Proc. 1091 212 (2009)
[arXiv:0811.1041],
link

A numerical approach to large deviations in continuoustime
Vivien Lecomte and Julien Tailleur,
J. Stat. Mech. (2007) P03004
[condmat/0612561],
link,
paper
Details on the simulations are given in the [handwritten lecture notes in
pdf] of the 4th lecture, or in pages 46 of the second article, or
in section 2.3 of the third article. Don't hesitate to chose a system
that you find physically interesting, and characterize the phase transition
by the mean value of the activity psi'(s), or its second cumulant psi''(s) (in the state s)
as a function of s.
References