- Title Pages
- Dedication
- Preface
- Acknowledgments
- 1 Introduction
- 2 The Classical Ideal Gas
- 3 Discrete Probability Theory
- 4 The Classical Ideal Gas: configurational Entropy
- 5 Continuous Random Numbers
- 6 The Classical Ideal Gas:Energy-Dependence of Entropy
- 7 Classical Gases: Ideal and Otherwise
- 8 Temperature, Pressure, Chemical Potential, and All That
- 9 The Postulates and Laws of Thermodynamics
- 10 Perturbations of Thermodynamic State Functions
- 11 Thermodynamic Processes
- 12 Thermodynamic Potentials
- 13 The Consequences of Extensivity
- 14 Thermodynamic Identities
- 15 Extremum Principles
- 16 Stability Conditions
- 17 Phase Transitions
- 18 The Nernst Postulate: the Third Law of Thermodynamics
- 19 Ensembles in Classical Statistical Mechanics
- 20 Classical Ensembles: Grand and Otherwise
- 21 Irreversibility
- 22 Quantum Ensembles
- 23 Quantum Canonical Ensemble
- 24 Black-Body Radiation
- 25 The Harmonic Solid
- 26 Ideal Quantum Gases
- 27 Bose–Einstein Statistics
- 28 Fermi–Dirac Statistics
- 29 Insulators and Semiconductors
- 30 Phase Transitions and the Ising Model
- Appendix: Computer Calculations and VPython
- Index
The Classical Ideal Gas: configurational Entropy
The Classical Ideal Gas: configurational Entropy
- Chapter:
- (p.40) 4 The Classical Ideal Gas: configurational Entropy
- Source:
- An Introduction to Statistical Mechanics and Thermodynamics
- Author(s):
Robert H. Swendsen
- Publisher:
- Oxford University Press
This chapter uses discrete probability theory to calculate the distribution of particles between two subsystems in a composite system. Following Boltzmann's 1877 definition of entropy, this leads to an explicit expression for the configurational contributions to the entropy of the classical ideal gas. A unique feature of this derivation is that it correctly obtains an extensive expression for entropy, even for distinguishable particles.
Keywords: classical ideal gas, configurational entropy, Boltzmann, distinguishable particles, probability theory
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- Title Pages
- Dedication
- Preface
- Acknowledgments
- 1 Introduction
- 2 The Classical Ideal Gas
- 3 Discrete Probability Theory
- 4 The Classical Ideal Gas: configurational Entropy
- 5 Continuous Random Numbers
- 6 The Classical Ideal Gas:Energy-Dependence of Entropy
- 7 Classical Gases: Ideal and Otherwise
- 8 Temperature, Pressure, Chemical Potential, and All That
- 9 The Postulates and Laws of Thermodynamics
- 10 Perturbations of Thermodynamic State Functions
- 11 Thermodynamic Processes
- 12 Thermodynamic Potentials
- 13 The Consequences of Extensivity
- 14 Thermodynamic Identities
- 15 Extremum Principles
- 16 Stability Conditions
- 17 Phase Transitions
- 18 The Nernst Postulate: the Third Law of Thermodynamics
- 19 Ensembles in Classical Statistical Mechanics
- 20 Classical Ensembles: Grand and Otherwise
- 21 Irreversibility
- 22 Quantum Ensembles
- 23 Quantum Canonical Ensemble
- 24 Black-Body Radiation
- 25 The Harmonic Solid
- 26 Ideal Quantum Gases
- 27 Bose–Einstein Statistics
- 28 Fermi–Dirac Statistics
- 29 Insulators and Semiconductors
- 30 Phase Transitions and the Ising Model
- Appendix: Computer Calculations and VPython
- Index
