Statistical Physics

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208 Indexsymmetry 134temperature 7, 24temperature of the universe 81thermal energy 62thermal equilibrium 4thermodynamic function 42, 154thermodynamics 3thermometer 7total differential 42total energy 5transfer matrix 108transverse mode 70triple point 119two-dimensional Ising model 140universality class 145van der Waals gas 128van der Waals interaction 117variance 11velocity distribution 15velocity space 15vibration 58volume 5water 115wave function 47wave packet 50wave vector 48wave vector space 72Wien’s law 76WMAP 81work 6XY model 133Young’s modulus 83zero-point vibration 61zeroth law of thermodynamics 7
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Preface“More is different” is a
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ContentsPart I General Principles1
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ContentsIX7 Magnetic Materials ....
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Part IGeneral Principles
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4 1 Thermal Equilibrium and the Pri
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1.2 Thermal Equilibrium 7environmen
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1.3 Kinetic Theory of Gas Molecules
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1.3.2 Velocity Distribution of an I
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18 1 Thermal Equilibrium and the Pr
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20 1 Thermal Equilibrium and the Pr
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2EntropyIn the previous chapter, we
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2.1 The Microcanonical Distribution
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2.2 Number of States and Density of
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2.3 Conditions for Thermal Equilibr
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2.3 Conditions for Thermal Equilibr
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2.4 Thermal Nonequilibrium and Irre
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36 3 The Partition Function and the
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4Ideal GasesHere, we shall apply st
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4.2 Phase Space and the Number of M
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4.3 Entropy of an Ideal Gas 51Fig.
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4.3 Entropy of an Ideal Gas 53Final
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4.5 Statistical-Mechanical Temperat
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4.6 Partition Function of an Ideal
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4.7 Diatomic Molecules 59Fig. 4.7.
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4.7 Diatomic Molecules 614.7.3 Vibr
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4.7 Diatomic Molecules 63Fig. 4.9.
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4.7 Diatomic Molecules 65Thendε=(2
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5The Heat Capacity of a Solid,and B
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5.1 Heat Capacity of a Solid I - Ei
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5.2 Heat Capacity of a Solid II - D
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5.3 Black-Body Radiation 77Fig. 5.7
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5.3 Black-Body Radiation 79Fig. 5.8
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5.3 Black-Body Radiation 81antenna
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84 6 The Elasticity of Rubberlength
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86 6 The Elasticity of Rubber6.4 Ho
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7Magnetic MaterialsWe have applied
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7.2 Statistical Mechanics of a Free
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7.3 Ising Model - Mean-Field Approx
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7.3.2 Mean-Field Approximation7.3 I
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7.4 The One-Dimensional Ising Model
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8First-Order Phase TransitionsIn th
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8.1 The Various Phases of Matter 11
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8.2 System in a Heat Bath at Fixed
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8.3 Coexistence of Phases 1218.3 Co
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8.4 The Clausius-Clapeyron Law 123s
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8.4 The Clausius-Clapeyron Law 125F
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8.5 The Critical Point 127The reaso
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8.6 The van der Waals Gas 129Fig. 8
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8.6 The van der Waals Gas 131Here t
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134 9 Second-Order Phase Transition
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10Dense Gases - Ideal Gases at Low
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10.2 The Grand Canonical Distributi
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10.3 Ideal Fermi Gases and Ideal Bo
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10.3 Ideal Fermi Gases and Ideal Bo
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10.4 Properties of a Free-Fermion G
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andUsing these relations, we obtain
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10.5 Properties of a Free-Boson Gas
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Page 360: 10.6 Properties of Gases at High Te
Page 364: The condition for this to apply iso
Page 368: AFormulas Related to the Factorial
Page 372: BThe Gaussian Distribution Function
Page 376: B.3 The Fourier Transform of a Gaus
Page 380: CLagrange’s Methodof Undetermined
Page 384: DVolume of a HypersphereWe need to
Page 388: EHyperbolic FunctionsThe functions
Page 392: FBoundary ConditionsWaves in a rect
Page 396: F.2 Periodic Boundary Condition 199
Page 400: 202 The Riemann Zeta FunctionFor z
Page 404: Indexabsolute temperature 8adiabati
Page 408: Index 207longitudinal mode 70magnet
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Statistical Physics

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