Introductory Statistical Thermodynamics

ISBN-10: 012384956X
ISBN-13: 9780123849564
Edition: 2011
List price: $42.99
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Description: Elementary Statistical Thermodynamics is a text for an introductory one-semester course in statistical thermodynamics for upper-level undergraduate and graduate students in physics and engineering. The book offers a high level of detail in  More...

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Book details

List price: $42.99
Copyright year: 2011
Publisher: Elsevier Science & Technology
Publication date: 1/26/2011
Binding: Hardcover
Pages: 408
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.430
Language: English

Elementary Statistical Thermodynamics is a text for an introductory one-semester course in statistical thermodynamics for upper-level undergraduate and graduate students in physics and engineering. The book offers a high level of detail in derivations of all equations and results. This information is necessary for students to grasp difficult concepts in physics that are needed to move on to higher level courses. The text is elementary, self contained, and mathematically well-founded, containing a number of problems with detailed solutions to help students to grasp the more difficult theoretical concepts. Beginning chapters place an emphasis on quantum mechanics Includes problems with detailed solutions and a number of detailed theoretical derivations at the end of each chapter Provides a high level of detail in derivations of all equations and results

Preface
Introduction
Quantum Description of Systems
Introduction and Basic Concepts
Systems of Identical Particles
Quantum Description of Particles *)
Problems with Solutions *)
Kinetic Energy of Translational Motion
Hamiltonian of Translational Motion
Schr�dinger Equation for Translational Motion *)
Solution of the Schr�dinger Equation *)
Normalization of the Wave Function *)
Quantized Energy of Translational Motion
Problems with Solutions *)
Energy of Vibrations
Hamiltonian of Vibrations
Solution of the Schr�dinger Equation *)
Quantized Energy of Vibrations
Hermite Polynomials *)
Normalization of the Wave Function *)
Problems with Solutions *)
Kinetic Energy of Rotations
Hamiltonian of Rotations
Kinetic Energy and Hamiltonian Operator
Angular Momentum Operator *)
Solution of the Schr�dinger Equation *)
Quantized Energy of Rotations
Legendre Polynomials *)
Normalization of the Wave Function *)
Spin Angular Momentum *)
Problems with Solutions *)
Thermodynamics of Systems
Number of Accessible States and Entropy
Introduction and Definitions
Calculation of the Number of Accessible States
Classical Number of Accessible States
Number of Accessible States for Bosons
Number of Accessible States for Fermions
Problems with Solutions
Equilibrium States of Systems
Equilibrium Conditions
Occupation Numbers of Energy Levels
Concept of Temperature
Problems with Solutions
Thermodynamic Variables
Free Energy and the Partition Function
Internal Energy: Caloric-State Equation
Pressure: Thermal-State Equation
Classification of Thermodynamic Variables
Problems with Solutions
Macroscopic Thermodynamics
Changes of States. Heat and Work
Laws of Thermodynamics
Zeroth Law of Thermodynamics
First Law of Thermodynamics
Second Law of Thermodynamics
Third Law of Thermodynamics
Open Systems
Thermal Properties of Systems
Isobaric Expansion
Isochoric Expansion
Isothermal Expansion
Relation between Thermal Coefficients
Caloric Properties of Systems
Specific Heat at Constant Volume c<sub>V</sub>
Specific Heat at Constant Pressure c<sub>P</sub>
Relation between Specific Heats
Relations between Thermodynamic Coefficients
Problems with Solutions
Variable Number of Particles
Chemical Potential
Thermodynamic Potential
Phases and Phase Equilibrium
Latent Heat
Clausius-Clapeyron Formula
Problems with Solutions
Ideal and Nonideal Gases
Ideal Monatomic Gases
Continuous Energy Spectrum
Continuous Partition Function
Partition Function of Ideal Monatomic Gases
Kinetic Theory of Ideal Monatomic Gases
Maxwell-Boltzmann Speed Distribution
Most Probable Speed of Gas Particles
Average Speed of Gas Particles
Root-Mean-Square Speed of Gas Particles
Average Kinetic Energy and Internal Energy
Equipartition Theorem
Thermodynamics of Ideal Monatomic Gases
Caloric-State Equation
Thermal-State Equation
Universal and Particular Gas Constants
Caloric and Thermal Coefficients
Ideal Gases in External Potentials
General Maxwell-Boltzmann Distribution
Harmonic and Anharmonic Oscillators
Classical Limit of Quantum Partition Function
Problems with Solutions
Ideal Diatomic Gases
Rotations of Gas Particles
Vibrations of Gas Particles
Problems with Solutions
Nonideal Gases
Partition Function for Nonideal Gases
Free Energy of Nonideal Gases
Free Energy of Particle Interactions
van der Waals Equation
Caloric-State Equation for Nonideal Gases
Specific Heats for Nonideal Gases
Problems with Solutions
Quasi-Static Thermodynamic Processes
Isobaric Process
Isochoric Process
Isothermal Process
Adiabatic Process
Polytropic Process
Cyclic Processes: Carnot Cycle
Problems with Solutions
Quantum Statistical Physics
Quantum Distribution Functions
Entropy Maximization in Quantum Statistics
The Case of Bosons
The Case of Fermions
Quantum Equilibrium Distribution
Helmholtz Thermodynamic Potential
Thermodynamics of Quantum Systems
Evaluation of Integrals *)
Problems with Solutions
Electron Gases in Metals
Ground State of Electron Gases in Metals
Electron Gases in Metals at Finite Temperatures
Chemical Potential at Finite Temperatures
Thermodynamics of Electron Gases
Problems with Solutions
Photon Gas in Equilibrium
Planck Distribution
Thermodynamics of Photon Gas in Equilibrium
Problems with Solutions
Other Examples of Boson Systems
Lattice Vibrations and Phonons
Vibration Modes
Internal Energy of Lattice Vibrations
Bose-Einstein Condensation
Problems with Solutions
Special Topics
Ultrarelativistic Fermion Gas
Ultrarelativistic Fermion Gas for T/T<sub>F</sub> &#8220; 1
Ultrarelativistic Fermion Gas for T/T<sub>F</sub> &#8221; 1
Thermodynamics of the Expanding Universe
Internal Energy of Elementary Particle Species
Entropy per Volume Element
Problems with Solutions
Physical Constants
Bibliography
Index

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