Introduction to Statistical PhysicsCRC Press, 2001年9月20日 - 289 頁 Statistical physics is a core component of most undergraduate (and some post-graduate) physics degree courses. It is primarily concerned with the behavior of matter in bulk-from boiling water to the superconductivity of metals. Ultimately, it seeks to uncover the laws governing random processes, such as the snow on your TV screen. This essential new textbook guides the reader quickly and critically through a statistical view of the physical world, including a wide range of physical applications to illustrate the methodology. It moves from basic examples to more advanced topics, such as broken symmetry and the Bose-Einstein equation. To accompany the text, the author, a renowned expert in the field, has written a Solutions Manual/Instructor's Guide, available free of charge to lecturers who adopt this book for their courses. Introduction to Statistical Physics will appeal to students and researchers in physics, applied mathematics and statistics. |
內容
The macroscopic view | 1 |
12 Thermodynamic variables | 2 |
13 Thermodynamic limit | 3 |
14 Thermodynamic transformations | 4 |
15 Classical ideal gas | 7 |
16 First law of thermodynamics | 8 |
17 Magnetic systems | 9 |
Problems | 10 |
102 Bose enhancement | 134 |
103 Phonons | 136 |
104 Debye specific heat | 137 |
105 Electronic specific heat | 139 |
106 Conservation of particle number | 140 |
Problems | 141 |
BoseEinstein condensation | 144 |
112 The condensate | 146 |
Heat and entropy | 13 |
22 Applications to ideal gas | 14 |
23 Carnot cycle | 16 |
24 Second law of thermodynamics | 18 |
25 Absolute temperature | 19 |
26 Temperature as integrating factor | 21 |
27 Entropy | 23 |
28 Entropy of ideal gas | 24 |
29 The limits of thermodynamics | 25 |
Problems | 26 |
Using thermodynamics | 30 |
32 Some measurable coefficients | 31 |
33 Entropy and loss | 32 |
34 The temperatureentropy diagram | 35 |
35 Condition for equilibrium | 36 |
37 Gibbs potential | 38 |
39 Chemical potential | 39 |
Problems | 40 |
Phase transitions | 45 |
42 Condition for phase coexistence | 47 |
43 Clapeyron equation | 48 |
44 van der Waals equation of state | 49 |
45 Virial expansion | 51 |
46 Critical point | 52 |
47 Maxwell construction | 53 |
48 Scaling | 54 |
Problems | 56 |
The statistical approach | 60 |
52 Phase space | 62 |
53 Distribution function | 64 |
54 Ergodic hypothesis | 65 |
56 Microcanonical ensemble | 66 |
57 The most probable distribution | 68 |
58 Lagrange multipliers | 69 |
Problems | 71 |
MaxwellBoltzmann distribution | 74 |
62 Pressure of an ideal gas | 75 |
63 Equipartition of energy | 76 |
64 Distribution of speed | 77 |
65 Entropy | 79 |
66 Derivation of thermodynamics | 80 |
67 Fluctuations | 81 |
68 The Boltzmann factor | 83 |
Problems | 85 |
Transport phenomena | 89 |
72 Maxwells demon | 91 |
74 Sound waves | 93 |
75 Diffusion | 94 |
76 Heat conduction | 96 |
77 Viscosity | 97 |
78 NavierStokes equation | 98 |
Problems | 99 |
Quantum statistics | 102 |
82 Identical particles | 104 |
83 Occupation numbers | 105 |
85 Microcanonical ensemble | 108 |
86 Fermi statistics | 109 |
87 Bose statistics | 110 |
88 Determining the parameters | 111 |
89 Pressure | 112 |
810 Entropy | 113 |
811 Free energy | 114 |
813 Classical limit | 115 |
Problems | 117 |
The Fermi gas | 119 |
92 Ground state | 120 |
93 Fermi temperature | 121 |
94 Lowtemperature properties | 122 |
95 Particles and holes | 124 |
96 Electrons in solids | 125 |
97 Semiconductors | 127 |
Problems | 129 |
The Bose gas | 132 |
113 Equation of state | 148 |
114 Specific heat | 149 |
115 How a phase is formed | 150 |
116 Liquid helium | 152 |
Problems | 154 |
Canonical ensemble | 157 |
123 The partition function | 160 |
125 Energy fluctuations | 161 |
126 Minimization of free energy | 162 |
127 Classical ideal gas | 164 |
128 Quantum ensemble | 165 |
129 Quantum partition function | 167 |
12 10 Choice of representation | 168 |
Grand canonical ensemble | 173 |
133 Number fluctuations | 174 |
134 Connection with thermodynamics | 175 |
135 Critical fluctuations | 177 |
136 Quantum gases in the grand canonical ensemble | 178 |
137 Occupation number fluctuations | 180 |
138 Photon fluctuations | 181 |
139 Pair creation | 182 |
Problems | 184 |
The order parameter | 188 |
142 Ising spin model | 189 |
143 GinsburgLandau theory | 193 |
144 Meanfield theory | 196 |
145 Critical exponents | 197 |
146 Fluctuationdissipation theorem | 199 |
147 Correlation length | 200 |
148 Universality | 201 |
Problems | 202 |
Superfluidity | 205 |
152 Meanfield theory | 206 |
153 GrossPitaevsky equation | 208 |
154 Quantum phase coherence | 210 |
155 Superfluid flow | 211 |
156 Superconductivity | 213 |
157 Meissner effect | 214 |
159 Josephson junction | 216 |
1591 DC Josephson effect | 218 |
1510 The SQUID | 220 |
Problems | 222 |
Noise | 226 |
162 Nyquist noise | 227 |
163 Brownian motion | 229 |
164 Einsteins theory | 231 |
165 Diffusion | 233 |
167 Molecular reality | 236 |
168 Fluctuation and dissipation | 237 |
Problems | 238 |
Stochastic processes | 240 |
172 Binomial distribution | 241 |
173 Poisson distribution | 243 |
174 Gaussian distribution | 244 |
175 Central limit theorem | 245 |
176 Shot noise | 247 |
Problems | 249 |
Timeseries analysis | 252 |
182 Power spectrum and correlation function | 254 |
183 Signal and noise | 256 |
184 Transition probabilities | 258 |
185 Markov process | 260 |
186 FokkerPlanck equation | 261 |
187 Langevin equation | 262 |
188 Brownian motion revisited | 264 |
189 The MonteCarlo method | 266 |
1810 Simulation of the Ising model | 268 |
Problems | 270 |
Mathematical reference | 274 |
Notes | 281 |
282 | |
284 | |
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常見字詞
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