Mathematics and Materials

Résumé du livre

4. Optimization and conjectures -- Bibliography -- Entropy, Probability and Packing (Alpha A Lee, Daan Frenkel) -- Introduction -- Lecture 1. Introduction to thermodynamics and statistical physics -- 1. Classical equilibrium thermodynamics -- 2. Statistical physics of entropy -- 3. From entropy to thermodynamic ensembles -- 4. Exercises -- Lecture 2. Thermodynamics of phase transitions -- 1. Thermodynamics of phase equilibrium -- 2. Thermodynamic integration -- 3. The chemical potential and Widom particle insertion -- 4. Exercises -- Lecture 3. Order from disorder: Entropic phase transitions -- 1. Hard-sphere freezing -- 2. Role of geometry: The isotropic-nematic transition -- 3. Depletion interaction and the entropy of the medium -- 4. Attractive forces and the liquid phase -- 5. Exercises -- Lecture 4. Granular entropy -- 1. Computing the entropy -- 2. Is this "entropy" physical? -- 3. The Gibbs paradox -- Bibliography -- Ideas about Self Assembly (Michael P. Brenner) -- Introduction -- Lecture 1. Self assembly: Introduction -- 1. What is self-assembly -- 2. Statistical mechanical preliminaries -- Lecture 2. Self assembly with identical components -- 1. Introduction -- 2. The (homogeneous) polymer problem -- 3. Cluster statistical mechanics -- Lecture 3. Heterogeneous self assembly -- 1. Heteropolymer problem -- 2. The yield catastrophe -- 3. Colloidal assembly -- Lecture 4. Nucleation theory and multifarious assembly mixtures -- 1. Nucleation theory -- 2. Magic soup -- Bibliography -- The Effects of Particle Shape in Orientationally Ordered Soft Materials (P. Palffy-Muhoray, M. Pevnyi, E.G. Virga, and X. Zheng) -- Introduction -- Lecture 1. Soft condensed matter and orientational order -- 1. Soft condensed matter -- 2. Position and orientation -- 3. Orientational order parameters -- Lecture 2. The free energy -- 1. Helmholtz free energy