LISTE PROVISOIRE

Les articles suivants ne sont pas tous de la meme difficulte'/longueur.
Pour certains themes avec beaucoup de materiel, vous pouvez aussi
vous organiser a deux pour faire un expose' en deux parties (environ 20 min chaque expose')

1 - Random Energy Model (travaux originaux de Derrida):
B. Derrida, The random energy model, an exactly solvable model of disordered systems Phys. Rev. B 24, 2613-2626 (1981), article
B. Derrida, G. Toulouse, Sample to sample fluctuations in the random energy model J. Physique Lett. 46, L223-L228 (1985) article

2 - Generalized Random Energy Model:
B. Derrida, A generalization of the random energy model which includes correlations between energies J. Physique Lett. 46, L401-L407 (1985), article
B. Derrida, E. Gardner, Magnetic properties and function q(x) of the generalised random energy model J. Phys. C19, 5783-5798 (1986) article

3 - Number Partitioning Problem
S. Mertens, Phase Transition in the number partitioning problem, Phys Rev Lett 81, 4281 (1998) article
S. Mertens, A physicist's approach to number partitioning, Theor. Comp. Science 265, 79 (2001), article

4 - Polymers on Disordered Trees
B. Derrida, H. Spohn, Polymers on disordered trees, spin glasses and traveling waves J. Stat. Phys. 51, 817-840 (1988) article

5 - Stabilite' stochastique pour les verres de spin
M. Aizenman, P. Contucci, On the stability of the quenched state in mean field spin glasses, J. Stat. Phys. 92, 765 (1998)., article
F. Guerra, About The Overlap Distribution In Mean Field Spin Glass Models, Int. Jou. Mod. Phys 10, 1675 (1996), article
S. Ghirlanda, F. Guerra, General properties of overlap probability distributions in disordered spin systems. Toward Parisi ultrametricity, J. Phys. A 31, 9149 (1998), article
Il serait interessant aussi de voir l'application des identites de Ghirlanda-Guerra au modele REM, voir par exemple les pages 100-104 des notes de A. Bovier

6- Modele SK Spherique
A. Crisanti, H. J. Sommers, Zeitschrift fur Physik B Condensed Matter 1992, Volume 87, Issue 3, pp 341-354 article

7- Articles originaux de Paris sur le modele SK
G. Parisi, A sequence of approximated solutions to the SK model for spin glasses, Journal of Physics A 13 (9180), L115-L121
G. Parisi, The order parameter for spin glasses: a function on the interval 0-1, J. Phys. A: Math. Gen. vol. 13 (1980) 1101-1112
G. Parisi, Magnetic properties of spin glasses in a new mean field theory, J. Phys. A: Math. Gen. vol 13 (1980), pages 1887-1895

Ces 3 articles se trouvent tous reproduits dans le livre "Spin glass theory and beyond" de Parisi, Mezard, Virasoro (disponible a la bibliotheque ENS).

8- Vieillissement pour les Modeles de pieges
J.-P. Bouchaud, D. S. Dean, Aging on Parisi's tree Journal de Physique I, Volume 5, Issue 3, March 1995, pp.265-286 cond-mat/94100223
E. Bertin, J.-P. Bouchaud, Dynamical ultrametricity in the critical trap model J. Phys. A: Math. Gen. 35 (2002) 3039-3051 arXiv:cond-mat/0112187v2
il peut etre interessant de regarder aussi
P. Sollich, Fluctuation-dissipation relations in trap models, Journal of Physics A, 36:10807-10818, 2003 arXiv:cond-mat/0303637v2

9- Vieillissement pour les Modeles SK
L. F. Cugliandolo, J. Kurchan, Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model, Phys. Rev. Lett. 71 173 (1993) arXiv:cond-mat/9303036v1
article plus detaille':
L. F. Cugliandolo, J. Kurchan, On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model J. Phys. A 27, 5749 (1994) arXiv:cond-mat/9311016v1 mais attention, pour les figures voir le article sur J Phys A)
voir aussi JP Bouchaud, Weak ergodicity breaking and aging in disordered systems,J. Phys. I France Volume 2, Numero 9, Septembre 1992 , article

10- Systemes desordonnes et fluctuations
J. Wehr, M. Aizenman, Fluctuations of extensive functions of quenched random couplings, Journal of Statistical Physics 60 (1990), 287-207 article