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Disordered assemblies with maximum packing fraction are studied by discrete element numerical simulation for monodisperse or bidisperse spherical particles, the diameter ratio being set at three. A maximum packing fraction value corresponds to an equilibrium state under isotropic loading of rigid frictionless particles. A statistical study of size effects enables one to evaluate, in the limit of large systems, the maximum packing fractions of both monodisperse assemblies, for which the conventional value 0.639 is retrieved, and bidisperse ones, for two distinct values of the coarse particle volume fraction. An enduring initial assembling step in which agitated grains interact through collisions induces an increase in the final packing fraction due to crystalline order nucleation for a monodisperse system or to a gradual segregation for a binary mixture. Albeit slow and moderate in a number of practical situations, this effect leads to a definition of the random close packing state, as the one obtained with frictionless rigid grains under an isotropic pressure in the limit of fast assembling processes. A few potential extensions to this preliminary study are suggested., Comment: 15 pages, 3 figures. Article in French. A free English translation is available on the web site of the journal : http://www.lcpc.fr/en/sources/blpc/index.php

Several simple growth and decay models use concepts and measures from fractal geometry. Kinetic models relevant to condensed matter observations arerecalled. They should be specifically adapted with appropriate degrees of freedom in order to reproduce power law behaviors, e.g. of species extinctions, cloud fracture, financial crashes. This allows one to illustrate scientific problems relevant to the growth and control of epidemias, and other event or entity propagation in biology, ecology, traffic and economy., Comment: 10 pages, text in french with accents (sometimes); 2 figures; to be published in the proceedings of a meeting held in Paris, Nov. 2004 in honor of B. Mandelbrot 80th birthday

This thesis is devoted to the study of dynamical properties of diluted models. These are mean field statistical mechanics systems, but with finite local connectivity. Among other reasons, the interest for these models arises from their deep relationship with combinatorial optimization problems, random $K$-satisfiability for instance. Several analytical descriptions of their out of equilibrium regime are described. This regime can be due to long relaxation times in glassy phases, lack of detailed balance condition for optimization algorithms, or transient relaxation from an arbitrary initial condition for ferromagnets. In the course of these studies some attention will also be given to random matrix theory, and to a generalization of fluctuation-dissipation theorem for $n$-times functions., Comment: Ph. D. Thesis, 140 pages, in french

The Ma-Dasgupta real-space renormalization methods allow to study disordered systems which are governed by strong disorder fixed points. After a general introduction to the qualitative ideas and to the quantitative renormalization rules, we describe the explicit exact results that can be obtained in various one-dimensional models, either classical or quantum, either for dynamics or statics. The main part of this dissertation is devoted to statistical physics models, with special attention to (i) the off-equilibrium dynamics of a particle diffusing in a Brownian potential or in a trap landscape, (ii) the coarsening dynamics and the equilibrium of classical disordered spin chains, (iii) the delocalization transition of a random polymer at an interface. The last part of the dissertation deals with two disordered quantum spin chains which exhibit a zero-temperature phase transition as the disorder varies, namely (a) the random antiferromagnetic S=1 spin chain, (b) the random transverse field Ising chain., Comment: Habilitation dissertation, written in french, 131 pages

The spin glasses are disordered and frustrated magnetic systems. They show aging phenomena which are also a characteristic feature of structural glasses, polymers, dielectrics, colloids, etc. Under a strong enough magnetic field variation, spin glasses can be "rejuvenated", in the same way as glasses under a high enough stress. But spin glasses also display non-trivial "rejuvenation and memory" effects when they are submitted to temperature variations. Comparable phenomena have recently been identified in some polymers and gels, although less sharply pronounced. We propose to describe aging phenomena in disordered systems in terms of a combination of such "temperature-selective" effects with the more usual "temperature-cumulative" processes related to strong cooling rate effects., Comment: Paper in french, to appear in the Proceedings of the conference "Materiaux 2002", Tours (France) October 2002. 1 pdf file, 4 pages