1st Edition
Statistical Mechanics for Chemistry and Materials Science
This book covers the broad subject of equilibrium statistical mechanics along with many advanced and modern topics such as nucleation, spinodal decomposition, inherent structures of liquids and liquid crystals. Unlike other books on the market, this comprehensive text not only deals with the primary fundamental ideas of statistical mechanics but also covers contemporary topics in this broad and rapidly developing area of chemistry and materials science.
1. Preliminaries
2. Probability and Statistics
3. Fundamental Concepts and Postulates of Statistical Mechanics
4. Liouville Theorem and Liouville Equation
5. Ensembles and Partition Functions: From Postulates to Formulation
6. Fluctuations and Response Functions
7. Ideal Monatomic Gas: Microscopic Expression of Translational Entropy
8. Ideal Gas of Diatomic Molecules: Microscopic Expressions for Rotational and Vibrational Entropy and Specific Heat
9. Quantum Statistics and Bose-Einstein Condensation
10. Lattice Models Including Ising
11. Distribution Function Theory of Liquids
12. Hard Core Interactions
13. Perturbation Theories of Liquids
14. Cell Theory and the Concept of Free Volume and Communal Entropy in Liquids
15. Scaled Particle Theory and Calculation of Chemical Potential
16. Phase Transition: Elementary Concepts
17. Landau Theory of Phase Transitions: Order Parameter Expansion and Free Energy Diagrams
18. Critical Phenomena: Universality, Scaling, and Renormalization Group
19. Cluster Expansion and Mayer’s Theory of Condensation
20. Yang-Lee Theory of Phase Transition
21. Classical Density Functional Theory
22. Surface Phenomena and Surface Tension
23. Theory of Melting and Freezing and Glass Transition
24. Nucleation, Ostwald Step Rule, and Nanomaterial Synthesis
25. Spinodal Decomposition and Pattern Formation: Evolution of Structure through Dynamics
26. Binary Mixtures: Towards Understanding Non-Ideality and Osmotic Pressure
27. Inherent Structures and Energy Landscape View of Liquids and Glasses
28. Polymers in Solutions and Polymer Collapse
29. Computer Simulation Methods in Statistical Mechanics
30. Computational Methods for Free Energy Calculation and Study of Rare Events
Biography
Biman Bagchi is Professor at Solid State and Structural Chemistry Unit, Indian Institute of Science.