Beschreibung:
Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics. Bose-Einstein condensation in atomic gases Thermodynamics of the early universe Computer simulations: Monte Carlo and molecular dynamics Correlation functions and scattering Fluctuation-dissipation theorem and the dynamical structure factor Chemical equilibrium Exact solution of the two-dimensional Ising model for finite systems Degenerate atomic Fermi gases Exact solutions of one-dimensional fluid models Interactions in ultracold Bose and Fermi gases Brownian motion of anisotropic particles and harmonic oscillators
Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics. Bose-Einstein condensation in atomic gases Thermodynamics of the early universe Computer simulations: Monte Carlo and molecular dynamics Correlation functions and scattering Fluctuation-dissipation theorem and the dynamical structure factor Chemical equilibrium Exact solution of the two-dimensional Ising model for finite systems Degenerate atomic Fermi gases Exact solutions of one-dimensional fluid models Interactions in ultracold Bose and Fermi gases Brownian motion of anisotropic particles and harmonic oscillators
1;Front Cover;12;Statistical Mechanics;43;Copyright;54;Table of Contents;65;Preface to the Third Edition;146;Preface to the Second Edition;187;Preface to the First Edition;208;Historical Introduction;229;Chapter 1. The Statistical Basis of Thermodynamics;289.1;1.1 The macroscopic and the microscopic states;289.2;1.2 Contact between statistics and thermodynamics: physical significance of the number O(N, V, E);309.3;1.3 Further contact between statistics and thermodynamics;339.4;1.4 The classical ideal gas;369.5;1.5 The entropy of mixing and the Gibbs paradox;439.6;1.6 The "correct" enumeration of the microstates;479.7;Problems;4910;Chapter 2. Elements of Ensemble Theory;5210.1;2.1 Phase space of a classical system;5210.2;2.2 Liouville's theorem and its consequences;5410.3;2.3 The microcanonical ensemble;5710.4;2.4 Examples;5910.5;2.5 Quantum states and the phase space;6210.6;Problems;6411;Chapter 3. The Canonical Ensemble;6611.1;3.1 Equilibrium between a system and a heat reservoir;6711.2;3.2 A system in the canonical ensemble;6811.3;3.3 Physical significance of the various statistical quantities in the canonical ensemble;7711.4;3.4 Alternative expressions for the partition function;7911.5;3.5 The classical systems;8111.6;3.6 Energy fluctuations in the canonical ensemble: correspondence with the microcanonical ensemble;8511.7;3.7 Two theorems - the "equipartition" and the "virial";8811.8;3.8 A system of harmonic oscillators;9211.9;3.9 The statistics of paramagnetism;9711.10;3.10 Thermodynamics of magnetic systems: negative temperatures;10411.11;Problems;11012;Chapter 4. The Grand Canonical Ensemble;11812.1;4.1 Equilibrium between a system and a particle-energy reservoir;11812.2;4.2 A system in the grand canonical ensemble;12012.3;4.3 Physical significance of the various statistical quantities;12212.4;4.4 Examples;12512.5;4.5 Density and energy fluctuations in the grand canonical ensemble: correspondence with other ensembles;13012.6;4.6 Thermodynamic phase diagrams;13212.7;4.7 Phase equilibrium and the Clausius-Clapeyron equation;13612.8;Problems;13813;Chapter 5. Formulation of Quantum Statistics;14213.1;5.1 Quantum-mechanical ensemble theory: the density matrix;14213.2;5.2 Statistics of the various ensembles;14613.3;5.3 Examples;14913.4;5.4 Systems composed of indistinguishable particles;15513.5;5.5 The density matrix and the partition function of a system of free particles;16013.6;Problems;16614;Chapter 6. The Theory of Simple Gases;16814.1;6.1 An ideal gas in a quantum-mechanical microcanonical ensemble;16814.2;6.2 An ideal gas in other quantum-mechanical ensembles;17314.3;6.3 Statistics of the occupation numbers;17614.4;6.4 Kinetic considerations;17914.5;6.5 Gaseous systems composed of molecules with internal motion;18214.6;6.6 Chemical equilibrium;19714.7;Problems;20015;Chapter 7. Ideal Bose Systems;20615.1;7.1 Thermodynamic behavior of an ideal Bose gas;20715.2;7.2 Bose-Einstein condensation in ultracold atomic gases;21815.3;7.3 Thermodynamics of the blackbody radiation;22715.4;7.4 The field of sound waves;23215.5;7.5 Inertial density of the sound field;23915.6;7.6 Elementary excitations in liquid helium II;24215.7;Problems;25016;Chapter 8. Ideal Fermi Systems;25816.1;8.1 Thermodynamic behavior of an ideal Fermi gas;25816.2;8.2 Magnetic behavior of an ideal Fermi gas;26516.3;8.3 The electron gas in metals;27416.4;8.4 Ultracold atomic Fermi gases;28516.5;8.5 Statistical equilibrium of white dwarf stars;28616.6;8.6 Statistical model of the atom;29116.7;Problems;29617;Chapter 9. Thermodynamics of the Early Universe;30217.1;9.1 Observational evidence of the Big Bang;30217.2;9.2 Evolution of the temperature of the universe;30717.3;9.3 Relativistic electrons, positrons, and neutrinos ;30917.4;9.4 Neutron fraction;31217.5;9.5 Annihilation of the positrons and electrons;31417.6;9.6 Neutrino temperature;31617.7;9.7 Primordial nucleosynthesis;31717.8;