Introductory Statistical Thermodynamics

✍ Scribed by Nils Dalarsson, Mariana Dalarsson, Leonardo Golubovic

• Publisher: Academic Press
• Year: 2011
• Tongue: English
• Leaves: 378
• Edition: 1
• Category: Library

✦ Synopsis

Introductory 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 mechanicsIncludes problems with detailed solutions and a number of detailed theoretical derivations at the end of each chapterProvides a high level of detail in derivations of all equations and results

✦ Table of Contents

Páginas desdeBinder2......Page 1
Index Introductory Statistical Thermodynamics Texto 02 revisado......Page 3
Copyright......Page 0
Preface......Page 7
Introduction......Page 10
Systems of Identical Particles......Page 12
Quantum Description of Particles )......Page 13
Problems with Solutions )......Page 16
Hamiltonian of Translational Motion......Page 17
Solution of the Schrödinger Equation )......Page 18
Normalization of the Wave Function )......Page 21
Quantized Energy of Translational Motion......Page 22
Problems with Solutions )......Page 23
Hamiltonian of Vibrations......Page 25
Solution of the Schrödinger Equation )......Page 26
Quantized Energy of Vibrations......Page 27
Hermite Polynomials )......Page 28
Normalization of the Wave Function )......Page 29
Problems with Solutions )......Page 31
Kinetic Energy and Hamiltonian Operator......Page 34
Angular Momentum Operator )......Page 35
Solution of the Schrödinger Equation )......Page 37
Quantized Energy of Rotations......Page 42
Legendre Polynomials )......Page 43
Normalization of the Wave Function )......Page 47
Spin Angular Momentum )......Page 51
Problems with Solutions )......Page 52
Introduction and Definitions......Page 54
Calculation of the Number of Accessible States......Page 55
Classical Number of Accessible States......Page 57
Number of Accessible States for Bosons......Page 58
Number of Accessible States for Fermions......Page 59
Problems with Solutions......Page 60
Equilibrium Conditions......Page 62
Occupation Numbers of Energy Levels......Page 64
Concept of Temperature......Page 66
Problems with Solutions......Page 68
Free Energy and the Partition Function......Page 73
Internal Energy: Caloric-State Equation......Page 76
Pressure: Thermal-State Equation......Page 78
Classification of Thermodynamic Variables......Page 81
Problems with Solutions......Page 82
Changes of States. Heat and Work......Page 88
First Law of Thermodynamics......Page 90
Third Law of Thermodynamics......Page 91
Open Systems......Page 92
Isobaric Expansion......Page 94
Isothermal Expansion......Page 95
Caloric Properties of Systems......Page 97
Specific Heat at Constant Volume cV......Page 98
Relation between Specific Heats......Page 99
Relations between Thermodynamic Coefficients......Page 102
Problems with Solutions......Page 105
Chemical Potential......Page 119
Thermodynamic Potential......Page 121
Latent Heat......Page 124
Clausius–Clapeyron Formula......Page 125
Problems with Solutions......Page 127
Continuous Energy Spectrum......Page 137
Continuous Partition Function......Page 139
Partition Function of Ideal Monatomic Gases......Page 141
Maxwell–Boltzmann Speed Distribution......Page 142
Average Speed of Gas Particles......Page 143
Root-Mean-Square Speed of Gas Particles......Page 144
Equipartition Theorem......Page 146
Caloric-State Equation......Page 148
Thermal-State Equation......Page 149
Universal and Particular Gas Constants......Page 150
Caloric and Thermal Coefficients......Page 152
General Maxwell–Boltzmann Distribution......Page 153
Harmonic and Anharmonic Oscillators......Page 163
Classical Limit of Quantum Partition Function......Page 167
Problems with Solutions......Page 172
Ideal Diatomic Gases......Page 184
Rotations of Gas Particles......Page 187
Vibrations of Gas Particles......Page 189
Problems with Solutions......Page 194
Partition Function for Nonideal Gases......Page 199
Free Energy of Nonideal Gases......Page 200
Free Energy of Particle Interactions......Page 202
van der Waals Equation......Page 205
Caloric-State Equation for Nonideal Gases......Page 206
Specific Heats for Nonideal Gases......Page 207
Problems with Solutions......Page 209
Isobaric Process......Page 225
Isochoric Process......Page 227
Isothermal Process......Page 228
Adiabatic Process......Page 230
Polytropic Process......Page 232
Cyclic Processes: Carnot Cycle......Page 234
Problems with Solutions......Page 238
The Case of Bosons......Page 253
The Case of Fermions......Page 254
Quantum Equilibrium Distribution......Page 255
Helmholtz Thermodynamic Potential......Page 259
Thermodynamics of Quantum Systems......Page 260
Evaluation of Integrals )......Page 263
Problems with Solutions......Page 266
Electron Gases in Metals......Page 281
Ground State of Electron Gases in Metals......Page 282
Electron Gases in Metals at Finite Temperatures......Page 283
Chemical Potential at Finite Temperatures......Page 288
Thermodynamics of Electron Gases......Page 289
Problems with Solutions......Page 291
Planck Distribution......Page 294
Thermodynamics of Photon Gas in Equilibrium......Page 297
Problems with Solutions......Page 301
Lattice Vibrations and Phonons......Page 305
Vibration Modes......Page 306
Internal Energy of Lattice Vibrations......Page 313
Bose–Einstein Condensation......Page 324
Problems with Solutions......Page 328
Ultrarelativistic Fermion Gas......Page 340
Ultrarelativistic Fermion Gas for T/TF << 1......Page 344
Ultrarelativistic Fermion Gas for T/TF >> 1......Page 347
Thermodynamics of the Expanding Universe......Page 348
Internal Energy of Elementary Particle Species......Page 349
Entropy per Volume Element......Page 350
Problems with Solutions......Page 352
Physical Constants......Page 355
Bibliography......Page 356
B......Page 357
C......Page 358
D......Page 359
E......Page 360
F......Page 361
G......Page 362
H......Page 363
I......Page 364
J......Page 365
L......Page 366
M......Page 367
O......Page 368
P......Page 369
Q......Page 371
R......Page 372
S......Page 373
T......Page 374
V......Page 376
W......Page 377
Z......Page 378