Modern Thermodynamics : From Heat Engines to Dissipative Structures
[BOOK DESCRIPTION]
"Modern ThermodynamicsSecond Edition" presents a comprehensive introduction to 20th century thermodynamics that can be applied to both equilibrium and non-equilibrium systems, unifying what was traditionally divided into 'thermodynamics' and 'kinetics' into one theory of irreversible processes.This comprehensive text, suitable for introductory as well as advanced courses on thermodynamics, has been widely used by chemists, physicists, engineers and geologists. Fully revised and expanded, this new edition includes the following updates and features: - Includes a completely new chapter on Principles of Statistical Thermodynamics.- Presents new material on solar and wind energy flows and energy flows of interest to engineering. - Covers new material on self-organization in non-equilibrium systems and the thermodynamics of small systems.- Highlights a wide range of applications relevant to students across physical sciences and engineering courses.- Introduces students to computational methods using updated Mathematica codes. - Includes problem sets to help the reader understand and apply the principles introduced throughout the text.- Solutions to exercises and supplementary lecture material provided online at http: //sites.google.com/site/modernthermodynamics/."Modern Thermodynamics: From Heat Engines to Dissipative Structures, Second Edition" is an essential resource for undergraduate and graduate students taking a course in thermodynamics.
[TABLE OF CONTENTS]
Preface to the Second Edition xiii
Preface to the First Edition: Why xv
Thermodynamics?
Acknowledgments xxi
Notes for Instructors xxiii
List of Variables xxv
I HISTORICAL ROOTS: FROM HEAT ENGINES TO
COSMOLOGY
1 Basic Concepts and the Laws of Gases 3 (42)
Introduction 3 (1)
1.1 Thermodynamic Systems 4 (2)
1.2 Equilibrium and Nonequilibrium Systems 6 (2)
1.3 Biological and Other Open Systems 8 (1)
1.4 Temperature, Heat and Quantitative 9 (8)
Laws of Gases
1.5 States of Matter and the van der 17 (7)
Waals Equation
1.6 An Introduction to the Kinetic Theory 24 (21)
of Gases
Appendix 1.1 Partial Derivatives 32 (1)
Appendix 1.2 Elementary Concepts in 33 (1)
Probability Theory
Appendix 1.3 Mathematica Codes 34 (5)
References 39 (1)
Examples 39 (2)
Exercises 41 (4)
2 The First Law of Thermodynamics 45 (44)
The Idea of Energy Conservation Amidst 45 (1)
New Discoveries
2.1 The Nature of Heat 46 (4)
2.2 The First Law of Thermodynamics: The 50 (7)
Conservation of Energy
2.3 Elementary Applications of the First 57 (4)
Law
2.4 Thermochemistry: Conservation of 61 (7)
Energy in Chemical Reactions
2.5 Extent of Reaction: A State Variable 68 (1)
for Chemical Systems
2.6 Conservation of Energy in Nuclear 69 (2)
Reactions and Some General Remarks
2.7 Energy Flows and Organized States 71 (18)
Appendix 2.1 Mathematica Codes 79 (1)
Appendix 2.2 Energy Flow in the USA for 79 (3)
the Year 2013
References 82 (1)
Examples 82 (3)
Exercises 85 (4)
3 The Second Law of Thermodynamics and the 89 (36)
Arrow of Time
3.1 The Birth of the Second Law 89 (7)
3.2 The Absolute Scale of Temperature 96 (3)
3.3 The Second Law and the Concept of 99 (5)
Entropy
3.4 Modern Formulation of the Second Law 104 (8)
3.5 Examples of Entropy Changes due to 112 (2)
Irreversible Processes
3.6 Entropy Changes Associated with Phase 114 (1)
Transformations
3.7 Entropy of an Ideal Gas 115 (1)
3.8 Remarks about the Second Law and 116 (9)
Irreversible Processes
Appendix 3.1 The Hurricane as a Heat 117 (3)
Engine
Appendix 3.2 Entropy Production in 120 (1)
Continuous Systems
References 121 (1)
Examples 122 (1)
Exercises 123 (2)
4 Entropy in the Realm of Chemical Reactions 125 (20)
4.1 Chemical Potential and Affinity: The 125 (7)
Thermodynamic Force for Chemical Reactions
4.2 General Properties of Affinity 132 (3)
4.3 Entropy Production Due to Diffusion 135 (1)
4.4 General Properties of Entropy 136 (9)
Appendix 4.1 Thermodynamics Description 138 (1)
of Diffusion
References 139 (1)
Example 139 (1)
Exercises 140 (5)
II Equilibrium Thermodynamics
5 Extremum Principles and General 145 (24)
Thermodynamic Relations
Extremum Principles in Nature 145 (1)
5.1 Extremum Principles Associated with 145 (8)
the Second Law
5.2 General Thermodynamic Relations 153 (3)
5.3 Gibbs Energy of Formation and 156 (3)
Chemical Potential
5.4 Maxwell Relations 159 (1)
5.5 Extensivity with Respect to N and 160 (2)
Partial Molar Quantities
5.6 Surface Tension 162 (7)
References 165 (1)
Examples 165 (1)
Exercises 166 (3)
6 Basic Thermodynamics of Gases, Liquids 169 (18)
and Solids
Introduction 169 (1)
6.1 Thermodynamics of Ideal Gases 169 (3)
6.2 Thermodynamics of Real Gases 172 (8)
6.3 Thermodynamics Quantities for Pure 180 (7)
Liquids and Solids
Reference 183 (1)
Examples 183 (1)
Exercises 184 (3)
7 Thermodynamics of Phase Change 187 (20)
Introduction 187 (1)
7.1 Phase Equilibrium and Phase Diagrams 187 (5)
7.2 The Gibbs Phase Rule and Duhem's 192 (2)
Theorem
7.3 Binary and Ternary Systems 194 (4)
7.4 Maxwell's Construction and the Lever 198 (3)
Rule
7.5 Phase Transitions 201 (6)
References 203 (1)
Examples 203 (1)
Exercises 204 (3)
8 Thermodynamics of Solutions 207 (24)
8.1 Ideal and Nonideal Solutions 207 (4)
8.2 Colligative Properties 211 (6)
8.3 Solubility Equilibrium 217 (5)
8.4 Thermodynamic Mixing and Excess 222 (3)
Functions
8.5 Azeotropy 225 (6)
References 225 (1)
Examples 225 (2)
Exercises 227 (4)
9 Thermodynamics of Chemical Transformations 231 (34)
9.1 Transformations of Matter 231 (1)
9.2 Chemical Reaction Rates 232 (7)
9.3 Chemical Equilibrium and the Law of 239 (4)
Mass Action
9.4 The Principle of Detailed Balance 243 (2)
9.5 Entropy Production due to Chemical 245 (3)
Reactions
9.6 Elementary Theory of Chemical 248 (3)
Reaction Rates
9.7 Coupled Reactions and Flow Reactors 251 (14)
Appendix 9.1 Mathematica Codes 256 (4)
References 260 (1)
Examples 260 (1)
Exercises 261 (4)
10 Fields and Internal Degrees of Freedom 265 (22)
The Many Faces of Chemical Potential 265 (1)
10.1 Chemical Potential in a Field 265 (5)
10.2 Membranes and Electrochemical Cells 270 (7)
10.3 Isothermal Diffusion 277 (4)
10.4 Chemical Potential for an Internal 281 (6)
Degree of Freedom
References 284 (1)
Examples 284 (1)
Exercises 285 (2)
11 Thermodynamics of Radiation 287 (20)
Introduction 287 (1)
11.1 Energy Density and Intensity of 287 (4)
Thermal Radiation
11.2 The Equation of State 291 (2)
11.3 Entropy and Adiabatic Processes 293 (2)
11.4 Wien's Theorem 295 (1)
11.5 Chemical Potential of Thermal 296 (1)
Radiation
11.6 Matter--Antimatter in Equilibrium 297 (2)
with Thermal Radiation: The State of Zero
Chemical Potential
11.7 Chemical Potential of Radiation not 299 (1)
in Thermal Equilibrium with Matter
11.8 Entropy of Nonequilibrium Radiation 300 (7)
References 302 (1)
Example 302 (1)
Exercises 302 (5)
III Fluctuations And Stability
12 The Gibbs Stability Theory 307 (8)
12.1 Classical Stability Theory 307 (1)
12.2 Thermal Stability 308 (1)
12.3 Mechanical Stability 309 (1)
12.4 Stability and Fluctuations in Nk 310 (5)
References 313 (1)
Exercises 313 (2)
13 Critical Phenomena and Configurational 315 (8)
Heat Capacity
Introduction 315 (1)
13.1 Stability and Critical Phenomena 315 (2)
13.2 Stability and Critical Phenomena in 317 (3)
Binary Solutions
13.3 Configurational Heat Capacity 320 (3)
Further Reading 321 (1)
Exercises 321 (2)
14 Entropy Production, Fluctuations and 323 (20)
Small Systems
14.1 Stability and Entropy Production 323 (3)
14.2 Thermodynamic Theory of Fluctuations 326 (5)
14.3 Small Systems 331 (2)
14.4 Size-Dependent Properties 333 (3)
14.5 Nucleation 336 (7)
References 339 (1)
Example 339 (1)
Exercises 340 (3)
IV Linear Nonequilibrium Thermodynamics
15 Nonequilibrium Thermodynamics: The 343 (14)
Foundations
15.1 Local Equilibrium 343 (2)
15.2 Local Entropy Production 345 (1)
15.3 Balance Equation for Concentration 346 (2)
15.4 Energy Conservation in Open Systems 348 (3)
15.5 The Entropy Balance Equation 351 (6)
Appendix 15.1 Entropy Production 354 (2)
References 356 (1)
Exercises 356 (1)
16 Nonequilibrium Thermodynamics: The 357 (28)
Linear Regime
16.1 Linear Phenomenological Laws 357 (2)
16.2 Onsager Reciprocal Relations and the 359 (4)
Symmetry Principle
16.3 Thermoelectric Phenomena 363 (3)
16.4 Diffusion 366 (5)
16.5 Chemical Reactions 371 (4)
16.6 Heat Conduction in Anisotropic Solids 375 (2)
16.7 Electrokinetic Phenomena and the 377 (2)
Saxen Relations
16.8 Thermal Diffusion 379 (6)
References 382 (1)
Further Reading 382 (1)
Exercises 383 (2)
17 Nonequilibrium Stationary States and 385 (20)
Their Stability: Linear Regime
17.1 Stationary States under 385 (6)
Nonequilibrium Conditions
17.2 The Theorem of Minimum Entropy 391 (7)
Production
17.3 Time Variation of Entropy Production 398 (7)
and the Stability of Stationary States
References 400 (1)
Exercises 400 (5)
V Order Through Fluctuations
18 Nonlinear Thermodynamics 405 (16)
18.1 Far-from-Equilibrium Systems 405 (1)
18.2 General Properties of Entropy 405 (2)
Production
18.3 Stability of Nonequilibrium 407 (4)
Stationary States
18.4 Linear Stability Analysis 411 (10)
Appendix 18.1 A General Property of 415 (1)
dFP/dt
Appendix 18.2 General Expression for 416 (2)
the Time Derivative of δ2S
References 418 (1)
Exercises 418 (3)
19 Dissipative Structures 421 (30)
19.1 The Constructive Role of 421 (1)
Irreversible Processes
19.2 Loss of Stability, Bifurcation and 421 (3)
Symmetry Breaking
19.3 Chiral Symmetry Breaking and Life 424 (7)
19.4 Chemical Oscillations 431 (5)
19.5 Turing Structures and Propagating 436 (4)
Waves
19.6 Dissipative Structures and Machines 440 (1)
19.7 Structural Instability and 441 (10)
Biochemical Evolution
Appendix 19.1 Mathematica Codes 442 (5)
References 447 (1)
Further Reading 448 (1)
Exercises 449 (2)
20 Elements of Statistical Thermodynamics 451 (26)
Introduction 451 (1)
20.1 Fundamentals and Overview 452 (2)
20.2 Partition Function Factorization 454 (2)
20.3 The Boltzmann Probability 456 (1)
Distribution and Average Values
20.4 Microstates, Entropy and the 457 (3)
Canonical Ensemble
20.5 Canonical Partition Function and 460 (1)
Thermodynamic Quantities
20.6 Calculating Partition Functions 461 (6)
20.7 Equilibrium Constants 467 (2)
20.8 Heat Capacities of Solids 469 (3)
20.9 Planck's Distribution Law for 472 (5)
Thermal Radiation
Appendix 20.1 Approximations and 474 (1)
Integrals
Reference 475 (1)
Example 475 (1)
Exercises 475 (2)
21 Self-Organization and Dissipative 477 (10)
Structures in Nature
21.1 Dissipative Structures in Diverse 477 (6)
Disciplines
21.2 Towards a Thermodynamic Theory of 483 (4)
Organisms
References 485 (2)
Epilogue 487 (2)
Physical Constants and Data 489 (2)
Standard Thermodynamic Properties 491 (10)
Energy Units and Conversions 501 (2)
Answers to Exercises 503 (8)
Author Index 511 (2)
Subject Index 513