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Book Cover
E-book
Author Sator, Nicolas

Title Statistical Physics
Published Milton : Taylor & Francis Group, 2023

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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
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
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
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
4.2.3. Average Values and Thermodynamic Quantities
Form Electronic book
Author Pavloff, Nicolas
Couedel, Lenaic
ISBN 9781000915600
1000915603