Mention très honorable avec félicitations du jury.We investigate in this thesis various mathematical problems in solid-state modelling, at the atomic scale as well as the macroscopic one. The models we use here are highly simplified (compared to standard quantum models), but exhibit acceptable qualitative behaviours. In addition, their simplicity allows one to go further in their rigourous mathematical analysis. The first part (chapters 2, 3, 4) is devoted to the study of the origin of crystalline symmetry. This problem may be stated as follows: do the models we study here account for the fact that at zero temperature, matter is ordered? or, equivalently, does the ground state of N identical atoms converge to some periodic structure as N go...
The emergence of long range order at low temperatures in atomistic systems with continuous symmetry ...
Band gaps calculated theoretically by Kunz, De Cicco, and others, using the augmented plane wave app...
A general review of the results on the atomic kinetics of the growth of solid solutions is presented...
Mention très honorable avec félicitations du jury.We investigate in this thesis various mathematical...
CHAPTER 1. PURE CRYSTALLINE SOLIDS 11.1. Characteristic values of a solid 11.2. Effect of stress and...
In this theoretical work, the elastic and dynamical properties of a solid are studied with the aim t...
We investigate in this thesis some molecular models and some multiscale methods for the numerical si...
Since electrons determine the electronic, optical and thermal properties of matter, the challenge is...
Thermodynamics is a well-established discipline of physics for properties of matter in thermal equil...
On esquisse différentes voies possibles que pourra prendre l'étude théorique de la structure électro...
Les contributions de cette thèse portent sur deux sujets.La première partie est dédiée à l'étude de...
A discussion will be given of the properties of a dissolved atom, with particular reference to those...
En diminuant lentement, par un calcul de dynamique moléculaire, l'énergie totale d'une goutte liquid...
Nous poursuivons dans cet article notre étude systématique de la limite thermodynamique de divers mo...
Une brève revue de quelques concepts récents sur les transformations de phase dans les solides est d...
The emergence of long range order at low temperatures in atomistic systems with continuous symmetry ...
Band gaps calculated theoretically by Kunz, De Cicco, and others, using the augmented plane wave app...
A general review of the results on the atomic kinetics of the growth of solid solutions is presented...
Mention très honorable avec félicitations du jury.We investigate in this thesis various mathematical...
CHAPTER 1. PURE CRYSTALLINE SOLIDS 11.1. Characteristic values of a solid 11.2. Effect of stress and...
In this theoretical work, the elastic and dynamical properties of a solid are studied with the aim t...
We investigate in this thesis some molecular models and some multiscale methods for the numerical si...
Since electrons determine the electronic, optical and thermal properties of matter, the challenge is...
Thermodynamics is a well-established discipline of physics for properties of matter in thermal equil...
On esquisse différentes voies possibles que pourra prendre l'étude théorique de la structure électro...
Les contributions de cette thèse portent sur deux sujets.La première partie est dédiée à l'étude de...
A discussion will be given of the properties of a dissolved atom, with particular reference to those...
En diminuant lentement, par un calcul de dynamique moléculaire, l'énergie totale d'une goutte liquid...
Nous poursuivons dans cet article notre étude systématique de la limite thermodynamique de divers mo...
Une brève revue de quelques concepts récents sur les transformations de phase dans les solides est d...
The emergence of long range order at low temperatures in atomistic systems with continuous symmetry ...
Band gaps calculated theoretically by Kunz, De Cicco, and others, using the augmented plane wave app...
A general review of the results on the atomic kinetics of the growth of solid solutions is presented...