Statistical Mechanics for Chemistry and Materials Science

Content: Probability and statistics --
Fundamental concepts and postulates of statistical mechanics --
Liouville theorem and Liouville equation --
Ensembles and partition function: from postulates to formulation --
Fluctuations and response functions --
Ideal monoatomic gas: microscopic expression of translational entropy --
Ideal gas of diatomic molecules: microscopic expression for rotational and vibrational entropy and specific heat --
Quantum statistics and Bose-Einstein condensation --
Lattice models --
Distribution functions of liquids --
Hard core interactions --
Perturbation theories of liquid --
Cell theory and the concept of free volume and communal entropy in liquids --
Scaled particle theory and calculation of chemical potential --
Phase transitions: elementary concepts --
Critical phenomena: universality, scaling and renormalization --
Cluster expansion and Mayer\'s theory of condensation --
Yang-Lee theory --
Classical density functional theory --
Surface phenomena --
Theory of freezing and melting Nucleation, Ostwald step rule and nanomaterial synthesis --
Spinodal decomposition and pattern formation: evolution of structure through dynamics --
Binary mixtures: towards understanding non-ideality and osmotic pressure --
Inherent structures and energy landscape view of liquids and glasses --
Polymer in solutions and polymer collapse --
Computer simulation methods --
Free energy calculations using computer simulations.