Home » Books » Science » Physics » Mechanics » Dynamics » Thermodynamics
Thermodynamics and Introductory Statistical Mechan Ics
https://www.fishpond.com.au/Books/ThermodynamicsandIntroductoryStatisticalMechanIcsBrunoLinder/9780471474593
By
Bruno Linder
Elsewhere $234 $169 Save $65.00 (28%)
Free shipping Australia wide
Order Now for Christmas with eGift Rating:   Format:  Hardcover, 232 pages  Other Information:  Illustrations  Published In:  United States, 29 October 2004 
A Clear and Concise Introduction to the Basic Theories of– and Linkages Between– Thermodynamics and Statistical Mechanics Thermodynamics is concerned with the macroscopic properties of matter. Statistical mechanics, on the other hand, relates and interprets the properties of a macroscopic system in terms of its microscopic units. Thermodynamics and Introductory Statistical Mechanics covers the necessary mathematical tools and computational techniques for understanding both, first providing a separate overview of each and then illustrating and exploring the connections between the two. Placing equal emphasis on fundamentals and applications, this clear and insightful text covers:  Thermodynamics__basic concepts and definitions, laws, general conditions for equilibrium and stability, phase and chemical equilibria
 Introductory statistical mechanics__principles, thermodynamic connection, molecular partition function, statistical mechanical applications
 Mathematical techniques for highlighting exact and inexact differentials, partial derivatives, Caratheodory’ s theorem, Legendre transformation, and combinatory analysis
Subtleties and conceptual difficulties are addressed headon, while ten problem sets and solutions reflect and illuminate the content covered. For advanced undergraduate and graduate students as well as professionals, Thermodynamics and Introductory Statistical Mechanics provides an introduction and review that is both concise and comprehensive. Table of ContentsPREFACE. 1 INTRODUCTORY REMARKS. 1.1 Scope and Objectives. 1.2 Level of Course. 1.3 Course Outline. 1.4 Books. PART I: THERMODYNAMICS. 2 BASIC CONCEPTS AND DEFINITIONS. 2.1 Systems and Surroundings. 2.2 State Variables and Thermodynamic Properties. 2.3 Intensive and Extensive Variables. 2.4 Homogeneous and Heterogeneous Systems, Phases. 2.5 Work. 2.6 Reversible and QuasiStatic Processes. 2.6.1 QuasiStatic Process. 2.6.2 Reversible Process. 2.7 Adiabatic and Diathermal Walls. 2.8 Thermal Contact and Thermal Equilibrium. 3 THE LAWS OF THERMODYNAMICS I. 3.1 The Zeroth LawTemperature. 3.2 The First LawTraditional Approach. 3.3 Mathematical Interlude I: Exact and Inexact Differentials. 3.4 The First LawAxiomatic Approach. 3.5 Some Applications of the First Law. 3.5.1 Heat Capacity. 3.5.2 Heat and Internal Energy. 3.5.3 Heat and Enthalpy. 3.6 Mathematical Interlude II: Partial Derivatives. 3.6.1 Relations Between Partials of Dependent Variables. 3.6.2 Relations Between Partials with Different Subscripts. 3.7 Other Applications of the First Law. 3.7.1 CP  CV. 3.7.2 Isothermal Change, Ideal Gas. 3.7.3 Adiabatic Change, Ideal Gas. 3.7.4 The Joule and the JouleThomson Coefficients. 4 THE LAWS OF THERMODYNAMICS II. 4.1 The Second LawTraditional Approach. 4.2 Engine Efficiency: Absolute Temperature. 4.2.1 Ideal Gas. 4.2.2 Coupled Cycles. 4.3 Generalization: Arbitrary Cycle. 4.4 The Clausius Inequality. 4.5 The Second LawAxiomatic Approach (Caratheodory). 4.6 Mathematical Interlude III: Pfaffian Differential Forms. 4.7 Pfaffian Expressions in Two Variables. 4.8 Pfaffian Expressions in More Than Two Dimensions. 4.9 Caratheodory's Theorem. 4.10 EntropyAxiomatic Approach. 4.11 Entropy Changes for Nonisolated Systems. 4.12 Summary. 4.13 Some Applications of the Second Law. 4.13.1 Reversible Processes (PV Work Only). 4.13.2 Irreversible Processes. 5 USEFUL FUNCTIONS: THE FREE ENERGY FUNCTIONS. 5.1 Mathematical Interlude IV: Legendre Transformations. 5.1.1 Application of the Legendre Transformation. 5.2 Maxwell Relations. 5.3 The GibbsHelmholtz Equations. 5.4 Relation of DELTAA and DELTAG to Work: Criteria for Spontaneity. 5.4.1 Expansion and Other Types of Work. 5.4.2 Comments. 5.5 Generalization to Open Systems and Systems of Variable Composition. 5.5.1 Single Component System. 5.5.2 Multicomponent Systems. 5.6 The Chemical Potential. 5.7 Mathematical Interlude V: Euler's Theorem. 5.8 Thermodynamic Potentials. 6 THE THIRD LAW OF THERMODYNAMICS. 6.1 Statements of the Third Law. 6.2 Additional Comments and Conclusions. 7 GENERAL CONDITIONS FOR EQUILIBRIUM AND STABILITY. 7.1 Virtual Variations. 7.2 Thermodynamic PotentialsInequalities. 7.3 Equilibrium Condition From Energy. 7.3.1 Boundary Fully Heat Conducting, Deformable, Permeable (Normal System). 7.3.2 Special Cases: Boundary SemiHeat Conducting, SemiDeformable, or SemiPermeable. 7.4 Equilibrium Conditions From Other Potentials. 7.5 General Conditions for Stability. 7.6 Stability Conditions From E. 7.7 Stability Conditions From Cross Terms. 7.8 Stability Conditions From Other Potentials. 7.9 Derivatives of Thermodynamic Potentials With Respect to Intensive Variables. 8 APPLICATION OF THERMODYNAMICS TO GASES, LIQUIDS, AND SOLIDS. 8.1 Gases. 8.2 Enthalpy, Entropy, Chemical Potential, Fugacity. 8.2.1 Enthalpy. 8.2.2 Entropy. 8.2.3 Chemical Potential. 8.2.4 Fugacity. 8.3 Standard States of Gases. 8.4 Mixtures of Gases. 8.4.1 Partial Fugacity. 8.4.2 Free Energy, Entropy, Enthalpy, and Volume of Mixing of Gases. 8.5 Thermodynamics of Condensed Systems. 8.5.1 The Chemical Potential. 8.5.2 Entropy. 8.5.3 Enthalpy. 9 PHASE AND CHEMICAL EQUILIBRIA. 9.1 The Phase Rule. 9.2 The Clapeyron Equation. 9.3 The ClausiusClapeyron Equation. 9.4 The Generalized Clapeyron Equation. 9.5 Chemical Equilibrium. 9.6 The Equilibrium Constant. 10 SOLUTIONSNONELECTROLYTES. 10.1 Activities and Standard State Conventions. 10.1.1 Gases. 10.1.2 Pure Liquids and Solids. 10.1.3 Mixtures. 10.1.3.1 LiquidLiquid SolutionsConvention I (Con I). 10.1.3.2 SolidLiquid SolutionsConvention II (Con II). 10.2 Ideal and Ideally Dilute Solutions; Raoult's and Henry's Laws. 10.2.1 Ideal Solutions. 10.2.2 Ideally Dilute Solutions. 10.3 Thermodynamic Functions of Mixing. 10.3.1 For Ideal Solutions. 10.3.2 For Nonideal Solutions. 10.4 Colligative Properties. 10.4.1 Lowering of Solvent Vapor Pressure. 10.4.2 Freezing Point Depression. 10.4.3 Boiling Point Elevation. 10.4.4 Osmotic Pressure. 11 PROCESSES INVOLVING WORK OTHER THAN PRESSUREVOLUME WORK. 11.1 PV Work and One Other Type of Work. 11.2 PV, sigmaA, and fL Work. 12 PHASE TRANSITIONS AND CRITICAL PHENOMENA. 12.1 Stable, Metastable, and Unstable Isotherms. 12.2 The Critical Region. PART II: INTRODUCTORY STATISTICAL MECHANICS. 13 PRINCIPLES OF STATISTICAL MECHANICS. 13.1 Introduction. 13.2 Preliminary DiscussionSimple Problem. 13.3 Time and Ensemble Averages. 13.4 Number of Microstates, OMEGAD, Distributions DI. 13.5 Mathematical Interlude VI: Combinatory Analysis. 13.6 Fundamental Problem in Statistical Mechanics. 13.7 MaxwellBoltzmann, FermiDirac, BoseEinstein Statistics "Corrected" MaxwellBoltzmann Statistics. 13.7.1 MaxwellBoltzmann Statistics. 13.7.2 FermiDirac Statistics. 13.7.3 BoseEinstein Statistics 13.7.4 "Corrected" MaxwellBoltzmann Statistics. 13.8 Systems of Distinguishable (Localized) and Indistinguishable (Nonlocalized) Particles. 13.9 Maximizing OMEGAD 13.10 Probability of a Quantum State: The Partition Function. 13.10.1 MaxwellBoltzmann Statistics. 13.10.2 Corrected MaxwellBoltzmann Statistics. 14 THERMODYNAMIC CONNECTION. 14.1 Energy, Heat, and Work. 14.2 Entropy. 14.2.1 Entropy of Nonlocalized Systems (Gases). 14.2.2 Entropy of Localized Systems (Crystalline Solids). 14.3 Identification of beta with 1/kT. 14.4 Pressure. 14.5 The Functions E, H, S, A, G, and mu. 15 MOLECULAR PARTITION FUNCTION. 15.1 Translational Partition Function. 15.2 Vibrational Partition Function: Diatomics. 15.3 Rotational Partition Function: Diatomics. 15.4 Electronic Partition Function. 15.5 Nuclear Spin States. 15.6 The "Zero" of Energy. 16 STATISTICAL MECHANICAL APPLICATIONS. 16.1 Population Ratios. 16.2 Thermodynamic Functions of Gases. 16.3 Equilibrium Constants. 16.4 Systems of Localized Particles: The Einstein Solid. 16.4.1 Energy. 16.4.2 Heat Capacity. 16.4.3 Entropy. 16.5 Summary. ANNOTATED BIBLIOGRAPHY. APPENDIX I: HOMEWORK PROBLEM SETS. Problem Set I. Problem Set II. Problem Set III. Problem Set IV. Problem Set V. Problem Set VI. Problem Set VII. Problem Set VIII. Problem Set IX. Problem Set X. APPENDIX II: SOLUTIONS TO PROBLEMS. Solution to Set I. Solution to Set II. Solution to Set III. Solution to Set IV. Solution to Set V. Solution to Set VI. Solution to Set VII. Solution to Set VIII. Solution to Set IX. Solution to Set X. INDEX. About the AuthorBRUNO LINDER is Professor Emeritus of Chemistry at Florida State University. Founder of the Southeastern Theoretical Chemistry Association, he was formerly a John Simon Guggenheim Fellow at the Theoretical Physics Institute of the University of Amsterdam. Reviews"...a thorough treatment of thermodynamics at a level somewhat higher level than that in a typical undergraduate physical chemistry work." (CHOICE, February 2005) EAN: 
9780471474593 

ISBN: 
0471474592 

Publisher: 
John Wiley & Sons Inc 

Dimensions: 
24.28 x 15.44 x 2.08 centimetres (0.51 kg) 

Age Range: 
15+ years 

