Nguồn ngoài

Statistical Mechanics

This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and in mathematics through multivariate calculus.

Thermodynamics and Statistical Mechanics Physics

Tác giả: Daniel F. Styer
Nhà xuất bản: Oberlin College
Nguồn: LibreTexts
Giấy phép: CC BY-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 94 mục

01: The Properties of Matter in Bulk
1.01: What is Statistical Mechanics About
1.02: Outline of Book
1.03: Fluid Statics
1.04: Phase Diagrams
1.05: Additional Problems
02: Principles of Statistical Mechanics
2.01: Microscopic Description of a Classical System
2.02: Macroscopic Description of a Large Equilibrium System
2.03: Fundamental Assumption
2.04: Statistical Definition of Entropy
2.05: Entropy of a Monatomic Ideal Gas
2.06: Qualitative Features of Entropy
2.07: Using Entropy to Find (Define) Temperature and Pressure
2.08: Additional Problems
03: Thermodynamics
3.01: Heat and Work
3.02: Entropy
3.03: Heat Engines
3.04: Multivariate Calculus
3.05: Thermodynamic Quantities
3.06: The Thermodynamic Dance
3.07: Non-fluid Systems
3.08: Thermodynamics Applied to Fluids
3.09: Thermodynamics Applied to Phase Transitions
3.10: Thermodynamics Applied to Chemical Reactions
3.11: Thermodynamics Applied to Light
3.12: Additional Problems
04: Ensembles
4.01: The Canonical Ensemble
4.02: Meaning of the Term Ensemble
4.03: Classical Monatomic Ideal Gas
4.04: Energy Dispersion in the Canonical Ensemble
4.05: Temperature as a Control Variable for Energy (Canonical Ensemble)
4.06: The Equivalence of Canonical and Microcanonical Ensembles
4.07: The Grand Canonical Ensemble
4.08: The Grand Canonical Ensemble in the Thermodynamic Limit
4.09: Summary of Major Ensembles
4.10: Quantal Statistical Mechanics
4.11: Ensemble Problems I
4.12: Ensemble Problems II
05: Classical Ideal Gases
5.01: Classical Monatomic Ideal Gases
5.02: Classical Diatomic Ideal Gases
5.03: Heat Capacity of an Ideal Gas
5.04: Specific Heat of a Hetero-nuclear Diatomic Ideal Gas
5.05: Chemical Reactions Between Gases
5.06: Problems
06: Quantal Ideal Gases
6.01: Introduction
6.02: The Interchange Rule
6.03: Quantum Mechanics of Independent Identical Particles
6.04: Statistical Mechanics of Independent Identical Particles
6.05: Quantum Mechanics of Free Particles
6.06: Fermi-Dirac Statistics
6.07: Bose-Einstein Statistics
6.08: Specific Heat of the Ideal Fermion Gas
6.09: Additional Problems
6.10: Appendix
07: Harmonic Lattice Vibrations
7.01: The Problem
7.02: Statistical Mechanics of the Problem
7.03: Normal Modes for a One-dimensional Chain
7.04: Normal Modes in Three Dimensions
7.05: Low-temperature Heat Capacity
7.06: More Realistic Models
7.07: What is a Phonon
7.08: Additional Problems
08: Interacting Classical Fluids
8.01: Introduction
8.02: Perturbation Theory
8.03: Variational Methods
8.04: Distribution Functions
8.05: Correlations and Scattering
8.06: The Hard Sphere Fluid
09: Strongly Interacting Systems and Phase Transitions
9.01: Introduction to Magnetic Systems and Models
9.02: Free Energy of the One-Dimensional Ising Model
9.03: The Mean-Field Approximation
9.04: Correlation Functions in the Ising Model
9.05: Computer Simulation
9.06: Additional Problems
10: Appendices
10.01: A- Series and Integrals
10.02: B- Evaluating the Gaussian Integral
10.03: C- Clinic on the Gamma Function
10.04: D- Volume of a Sphere in d Dimensions
10.05: E- Stirling's Approximation
10.06: F- The Euler-MacLaurin Formula and Asymptotic Series
10.07: G- Ramblings on the Riemann Zeta Function
10.08: H- Tutorial on Matrix Diagonalization
10.09: I- Catalog of Misconceptions
10.10: J- Thermodynamic Master Equations
10.11: K- Useful Formulas