“Introduction to Statistical Mechanics”- by Debasis Bhattacharyya (NCBA)

Name: "Introduction to Statistical Mechanics"- by Debasis Bhattacharyya (NCBA) - Booksbp.com
SKU: 9789352550579
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SKU: 9789352550579

1. Macrostates, Microstates, and Probability

Basic Concepts: Definitions of system, assembly, macrostates, microstates, and constraints.
Probability Theory: Mathematical probability, permutations and combinations, and standard distribution functions.
Phase Space: Concept of μ-space, Γ-space, trajectories, and the division of phase space into elementary cells.
Fundamental Postulate: Postulate of equal a priori probability and the connection between entropy and thermodynamic probability (\(S = k \ln \Omega\)).

2. Ensemble Theory

Liouville’s Theorem: Phase flow and the proof of conservation of density in phase space.
Ensemble Classifications:
- Microcanonical Ensemble: Fixed energy (E), volume (V), and number of particles (N).
- Canonical Ensemble: System in a heat bath; derivation of the canonical partition function (Z) and thermodynamic links.
- Grand Canonical Ensemble: Open systems changing energy and particle numbers; grand partition function and chemical potential.

3. Classical Statistical Mechanics (Maxwell-Boltzmann)

MB Distribution: Derivation of the Maxwell-Boltzmann distribution law for distinguishable particles.
Applications: Partition function for ideal gas, law of equipartition of energy, and specific heat calculations for monatomic gases.
Gibbs Paradox: The entropy of mixing and its resolution via correct Boltzmann counting.