1st Edition

Statistical Mechanics for Chemistry and Materials Science

By Biman Bagchi Copyright 2019
    580 Pages 168 Color & 61 B/W Illustrations
    by CRC Press

    580 Pages 168 Color & 61 B/W Illustrations
    by CRC Press

    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.