Statistical Physics

Including Applications to Condensed Matter

By: Claudine Hermann, C. Hermann

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Hardcover | 16 February 2005

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300 Pages

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23.5 x 15.24 x 1.4

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Statistical Physics bridges the properties of a macroscopic system and the microscopic behavior of its constituting particles, otherwise impossible due to the giant magnitude of Avogadro's number. Numerous systems of today's key technologies - such as semiconductors or lasers - are macroscopic quantum objects; only statistical physics allows for understanding their fundamentals. Therefore, this graduate text also focuses on particular applications such as the properties of electrons in solids with applications, and radiation thermodynamics and the greenhouse effect.

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From the reviews:

"This is an interesting book, in part because it presents the subject from a French point of view. ... It starts from an elementary discussion of statistical physics, thermodynamics, and quantum mechanics and ends with applications to advanced topics ... . These subjects are treated in exercises and problems and the solutions to those problems. ... The book is intended to be an introductory text for senior undergraduates and graduate students. ... it does make interesting reading for practitioners of statistical physics." (Irwin Oppenheim, Journal of Statistical Physics, Vol. 30, 2006)

"This is an extremely useful textbook for various undergraduate or graduate courses on statistical physics and its applications. One can find all the essential material, with a lot of examples from modern physics ... . This is a ... comprehensive textbook inspired by the idea of showing how one can deduce the macroscopic from the microscopic. It offers both basic laws and applications and ... provides the student with sufficient knowledge to follow the more extensive textbooks on any of the particular subjects treated here." (Darko Kapor, Mathematical Reviews, Issue 2006 c)

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Science Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Statistical Physics

Introduction	p. xi
Glossary	p. xv
Statistical Description of Large Systems. Postulates	p. 1
Classical or Quantum Evolution of a Particle; Phase Space	p. 2
Classical Evolution	p. 2
Quantum Evolution	p. 4
Uncertainty Principle and Phase Space	p. 4
Other Degrees of Freedom	p. 5
Classical Probability Density; Quantum Density Operator	p. 5
Statistical Approach for Macroscopic Systems	p. 6
Classical Probability Density	p. 8
Density Operator in Quantum Mechanics	p. 9
Statistical Postulates; Equiprobability	p. 10
Microstate, Macrostate	p. 10
Time Average and Ensemble Average	p. 11
Equiprobability	p. 12
General Properties of the Statistical Entropy	p. 15
The Boltzmann Definition	p. 15
The Gibbs Definition	p. 15
The Shannon Definition of Information	p. 18
Summary of Chapter 1	p. 19
	p. 21
	p. 27
	p. 29
The Different Statistical Ensembles. General Methods	p. 31
Energy States of an V-Particle System	p. 32
Isolated System in Equilibrium : ""Microcanonical Ensemble""	p. 35
Equilibrium Conditions for Two Systems in Contact	p. 36
Equilibrium Condition : Equal ß Parameters	p. 36
Fluctuations of the Energy Around its Most Likely Value	p. 37
Contact with a Heat Reservoir, ""Canonical Ensemble""	p. 40
The Boltzmann Factor	p. 41
Energy, with Fixed Average Value	p. 42
Partition Function Z	p. 44
Entropy in the Canonical Ensemble	p. 45
Partition Function of a Set of Two Independent Systems	p. 46
Grand Canonical Ensemble	p. 48
Equilibrium Condition : Equality of Both T 'sand 's	p. 49
Heat Reservoir and Particles Reservoir	p. 50
Grand Canonical Probability and Partition Function	p. 51
Average Values	p. 52
Grand Canonical Entropy	p. 53
Other Statistical Ensembles	p. 53
Summary of Chapter 2	p. 55
	p. 57
Thermodynamics and Statistical Physics	p. 59
Zeroth Law of Thermodynamics	p. 60
First Law of Thermodynamics	p. 60
Work	p. 61
Heat	p. 63
Quasi-Static General Process	p. 63
Second Law of Thermodynamics	p. 64
Third Law of Thermodynamics	p. 66
The Thermodynamical Potentials ; the Legendre Transformation	p. 67
Isolated System	p. 67
Fixed N, Contact with a Heat Reservoir at T	p. 69
Contact with a Heat and Particle Reservoir at T	p. 70
Transformation of Legendre ; Other Potentials	p. 72
Summary of Chapter 3	p. 75
The Ideal Gas	p. 79
Introduction	p. 79
Kinetic Approach	p. 80
Scattering Cross Section, Mean Free Path	p. 80
Kinetic Calculation of the Pressure	p. 81
Classical or Quantum Statistics ?	p. 83
Classical Statistics Treatment of the Ideal Gas	p. 85
Calculation of the Canonical Partition Function	p. 85
Average Energy; Equipartition Theorem	p. 87
Free Energy ; Physical Parameters (P, S, )	p. 89
Gibbs Paradox	p. 90
Conclusion	p. 91
Summary of Chapter 4	p. 93
	p. 95
	p. 103
Indistinguishability, the Pauli Principle	p. 113
Introduction	p. 114
States of Two Indistinguishable Particles	p. 116
General Case	p. 116
Independent Particles	p. 116
Pauli Principle; Spin-Statistics Connection	p. 119
Pauli Principle; Pauli Exclusion Principle	p. 119
Theorem of Spin-Statistics Connection	p. 120
Case of Two Particles of Spin 1/2	p. 121
Triplet and Singlet Spin States	p. 121
Wave Function of Two Spin 1/2 Particles	p. 123
Special Case of N Independent Particles	p. 124
Wave Function	p. 124
Occupation Numbers	p. 125
Return to the Introduction Examples	p. 126
Fermions Properties	p. 126
Bosons Properties	p. 126
Summary of Chapter 5	p. 129
General Properties of the Quantum Statistics	p. 131
Use of the Grand Canonical Ensemble	p. 132
2 Indistinguishable Particles at T, Canonical Ensemble	p. 132
Description in the Grand Canonical Ensemble	p. 133
Factorization of the Grand Partition Function	p. 134
Fermions and Bosons	p. 134
Fermions	p. 135
Bosons	p. 135
Chemical Potential and Number of Particles	p. 136
Average Occupation Number; Grand Potential	p. 136
Free Particle in a Box; Density of States	p. 138
Quantum States of a Free Particle in a Box	p. 138
Density of States	p. 143
Fermi-Dirac Distribution; Bose-Einstein Distribution	p. 147
Average Values of Physical Parameters at T	p. 148
Common Limit of the Quantum Statistics	p. 149
Chemical Potential of the Ideal Gas	p. 149
Grand Canonical Partition Function of the Ideal Gas	p. 151
Summary of Chapter 6	p. 153
Free Fermions Properties	p. 155
Properties of Fermions at Zero Temperature	p. 155
Fermi Distribution, Fermi Energy	p. 155
Internal Energy and Pressure at Zero Temperature	p. 158
Magnetic Properties. Pauli Paramagnetism	p. 159
Properties of Fermions at Non-Zero Temperature	p. 160
Temperature Ranges and Chemical Potential Variation	p. 160
Specific Heat of Fermions	p. 163
Thermionic Emission	p. 165
Summary of Chapter 7	p. 169
	p. 171
Elements of Bands Theory and Crystal Conductivity	p. 175
What is a Solid, a Crystal?	p. 176
The Eigenstates for the Chosen Model	p. 177
Recall:the Double Potential Well	p. 177
Electron on an Infinite and Periodic Chain	p. 180
Energy Bands and Bloch Functions	p. 182
The Electron States in a Crystal	p. 184
Wave Packet of Bloch Waves	p. 184
Resistance; Mean Free Path	p. 184
Finite Chain, Density of States, Effective Mass	p. 185
Statistical Physics of Solids	p. 189
Filling of the Levels	p. 189
Variation of Metal Resistance versus T	p. 190
Insulators' Conductivity Versus T; Semiconductors	p. 191
Examples of Semiconductor Devices	p. 196
The Photocopier : Photoconductivity Properties	p. 196
The Solar Cell : an Illuminated p - n Junction	p. 196
CD Readers : the Semiconductor Quantum Wells	p. 197
Summary of Chapter 8	p. 199
Bosons : Helium 4, Photons,Thermal Radiation	p. 201
Material Particles	p. 201
Thermodynamics of the Boson Gas	p. 202
Bose-Einstein Condensation	p. 203
Bose-Einstein Distribution of Photons	p. 206
Description of the Thermal Radiation; the Photons	p. 206
Statistics of Photons, Bosons in Non-Conserved Number	p. 207
Black Body Definition and Spectrum	p. 210
Microscopic Interpretation	p. 212
Photometric Measurements : Definitions	p. 214
Radiative Balances	p. 217
Greenhouse Effect	p. 218
Summary of Chapter 9	p. 221
Solving Exercises and Problems of Statistical Physics	p. 223
Units and Physical Constants	p. 225
A few useful formulae	p. 229
Exercises and Problems	p. 231
Ex. 2000 : Electrostatic Screening	p. 233
Ex. 2001 : Magnetic Susceptibility of a ""Quasi-1D"" Conductor	p. 234
Ex. 2002 : Entropies of the HC<$>ell<$> Molecule	p. 236
Pr. 2001 : Quantum Boxes and Optoelectronics	p. 237
Pr. 2002 : Physical Foundations of Spintronics	p. 245
Solution of the Exercises and Problems	p. 251
Ex. 2000 : Electrostatic Screening	p. 253
Ex. 2001 : Magnetic Susceptibility of a ""Quasi-1D"" Conductor	p. 255
Ex. 2002 : Entropies of the HC<$>ell<$> Molecule	p. 258
Pr. 2001 : Quantum Boxes and Optoelectronics	p. 259
Pr. 2002 : Physical Foundations of Spintronics	p. 266
Index	p. 275
Table of Contents provided by Publisher. All Rights Reserved.

Statistical Physics

Including Applications to Condensed Matter

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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