Description |
1 online resource (451 p.) |
Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- Preface -- Contributors -- Chapter 1: Microscopic Description of a Macroscopic System -- 1.1. Microstate of a System -- 1.1.1. Classical Framework -- 1.1.2. Quantum Framework -- 1.2. Deterministic Evolution of Microstates -- 1.2.1. Hamiltonian -- 1.2.2. Phase Space Dynamics -- 1.3. From a Microscopic Description to a Macroscopic Description -- 1.3.1. Macrostate and Thermodynamic Equilibrium -- 1.3.2. Failure of the Deterministic Approach -- 1.4. The Need for a Probabilistic Approach |
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1.4.1. An Instructive Example: the Joule Expansion -- 1.4.2. Rudiments of Gas Kinetic Theory -- 1.5. Statistical Description of a System: Statistical Ensembles -- 1.5.1. Statistical Ensembles -- 1.5.2. Probability of a Microstate and Ensemble Averages -- 1.6. Exercises -- Chapter 2: Microcanonical Statistical Ensemble -- 2.1. Postulates of Equilibrium Statistical Physics -- 2.2. Counting Accessible Microstates -- 2.2.1. Uncertainty on the Energy of an Isolated System -- 2.2.2. Discretisation of Phase Space in the Framework of Classical Mechanics |
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3.1.2. Definition and Properties of Statistical Temperature -- 3.2. Statistical Entropy -- 3.2.1. Definition and Properties of Statistical Entropy -- 3.2.2. Principle of Maximum Entropy and Second Law of Thermodynamics -- 3.3. Pressure and Chemical Potential -- 3.3.1. Thermal, Mechanical and Chemical Equilibrium between Macroscopic Systems -- 3.3.2. Generalised Forces and Thermodynamic Transformations -- 3.4. Gibbs Entropy and Information Theory -- 3.5. Irreversibility and Entropy -- 3.5.1. Second Law of Thermodynamics -- 3.5.2. Statistical Interpretation of Irreversibility |
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3.5.3. Apparent Paradoxes of Statistical Physics -- 3.6. Exercises -- Chapter 4: Canonical and Grand Canonical Statistical Ensembles -- 4.1. Canonical Ensemble -- 4.1.1. Canonical Probability Distribution Function and Partition Function -- 4.1.2. Free Energy -- 4.1.3. Average Values and Thermodynamic Quantities -- 4.1.4. Thermodynamic Equilibrium and Minimum Free Energy -- 4.1.5. Equipartition of Energy Theorem -- 4.2. Grand Canonical Ensemble -- 4.2.1. Grand Canonical Probability Distribution and Grand Partition Function -- 4.2.2. Grand Potential |
Summary |
This book presents an introduction to the main concepts of statistical physics, followed by applications to specific problems and more advanced concepts, selected for their pedagogical or practical interest |
Notes |
Description based upon print version of record |
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4.2.3. Average Values and Thermodynamic Quantities |
Form |
Electronic book
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Author |
Pavloff, Nicolas
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Couedel, Lenaic
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ISBN |
9781000915600 |
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1000915603 |
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