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Basic Concepts of Thermodynamics and Statistical Physics |
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1 | (42) |
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Macroscopic Description of State of Systems: Postulates of Thermodynamics |
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1 | (5) |
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Mechanical Description of Systems: Microscopic State: Phase Space: Quantum States |
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6 | (7) |
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Statistical Description of Classical Systems: Distribution Function: Liouville Theorem |
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13 | (6) |
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Microcanonical Distribution: Basic Postulate of Statistical Physics |
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19 | (3) |
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Statistical Description of Quantum Systems: Statistical Matrix: Liouville Equation |
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22 | (5) |
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Entropy and Statistical Weight |
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27 | (4) |
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Law of Increasing Entropy: Reversible and Irreversible Processes |
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31 | (4) |
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Absolute Temperature and Pressure: Basic Thermodynamic Relationship |
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35 | (8) |
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Law of Thermodynamics: Thermodynamic Functions |
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43 | (50) |
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First Law of Thermodynamics: Work and Amount of Heat: Heat Capacity |
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43 | (7) |
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Second Law of Thermodynamics: Carnot Cycle |
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50 | (6) |
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Thermodynamic Functions of Closed Systems: Method of Thermodynamic Potentials |
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56 | (7) |
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Thermodynamic Coefficients and General Relationships Between Them |
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63 | (6) |
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Thermodynamic Inequalities: Stability of Equilibrium State of Homogeneous Systems |
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69 | (5) |
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Third Law of Thermodynamics: Nernst Principle |
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74 | (5) |
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Thermodynamic Relationships for Dielectrics and Magnetics |
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79 | (4) |
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Magnetocaloric Effect: Production of Ultra-Low Temperatures |
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83 | (3) |
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Thermodynamics of Systems with Variable Number of Particles: Chemical Potential |
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86 | (4) |
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Conditions of Equilibrium of Open Systems |
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90 | (3) |
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Canonical Distribution: Gibbs Method |
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93 | (16) |
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Gibbs Canonical Distribution for Closed Systems |
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93 | (6) |
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Free Energy: Statistical Sum and Statistical Integral |
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99 | (3) |
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Gibbs Method and Basic Objects of its Application |
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102 | (1) |
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Grand Canonical Distribution for Open Systems |
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103 | (6) |
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109 | (48) |
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Free Energy, Entropy and Equation of the State of an Ideal Gas |
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109 | (3) |
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Mixture of Ideal Gases: Gibbs Paradox |
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112 | (3) |
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Law About Equal Distribution of Energy Over Degrees of Freedom: Classical Theory of Heat Capacity of an Ideal Gas |
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115 | (5) |
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Classical Theory of Heat Capacity of an Ideal Gas |
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118 | (2) |
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Quantum Theory of Heat Capacity of an Ideal Gas: Quantization of Rotational and Vibrational Motions |
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120 | (13) |
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122 | (3) |
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125 | (3) |
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128 | (3) |
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131 | (2) |
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Ideal Gas Consisting of Polar Molecules in an External Electric Field |
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133 | (8) |
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Orientational Polarization |
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133 | (4) |
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Entropy: Electrocaloric Effect |
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137 | (1) |
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Mean Value of Energy: Caloric Equation of State |
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138 | (1) |
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Heat Capacity: Determination of Electric Dipole Moment of Molecule |
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139 | (2) |
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Paramagnetic Ideal Gas in External Magnetic Field |
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141 | (9) |
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141 | (2) |
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143 | (7) |
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Systems with Negative Absolute Temperature |
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150 | (7) |
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157 | (18) |
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Equation of State of Rarefied Real Gases |
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157 | (7) |
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Second Virial Coefficient and Thermodynamics of Van Der Waals Gas |
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164 | (5) |
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Neutral Gas Consisting of Charged Particles: Plasma |
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169 | (6) |
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175 | (38) |
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Vibration and Waves in a Simple Crystalline Lattice |
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175 | (9) |
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One-Dimensional Simple Lattice |
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178 | (4) |
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Three-Dimensional Simple Crystalline Lattice |
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182 | (2) |
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Hamilton Function of Vibrating Crystalline Lattice: Normal Coordinates |
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184 | (3) |
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Classical Theory of Thermodynamic Properties of Solids |
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187 | (7) |
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Quantum Theory of Heat Capacity of Solids: Einstein and Debye Models |
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194 | (10) |
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196 | (1) |
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197 | (7) |
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Quantum Theory of Thermodynamic Properties of Solids |
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204 | (9) |
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Quantum Statistics: Equilibrium Electron Gas |
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213 | (84) |
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Boltzmann Distribution: Difficulties of Classical Statistics |
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214 | (8) |
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Principle of Indistinguishability of Particles: Fermions and Bosons |
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222 | (7) |
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Distribution Functions of Quantum Statistics |
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229 | (5) |
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Equations of States of Fermi and Bose Gases |
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234 | (3) |
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Thermodynamic Properties of Weakly Degenerate Fermi and Bose Gases |
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237 | (3) |
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Completely Degenerate Fermi Gas: Electron Gas: Temperature of Degeneracy |
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240 | (4) |
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Thermodynamic Properties of Strongly Degenerate Fermi Gas: Electron Gas |
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244 | (5) |
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General Case: Criteria of Classicity and Degeneracy of Fermi Gas: Electron Gas |
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249 | (5) |
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250 | (1) |
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251 | (1) |
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Moderate Temperatures: T 'T0 |
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251 | (3) |
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Heat Capacity of Metals: First Difficulty of Classical Statistics |
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254 | (4) |
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256 | (1) |
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256 | (2) |
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Pauli Paramagnetism: Second Difficulty of Classical Statistics |
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258 | (4) |
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``Ultra-Relativistic'' Electron Gas in Semiconductors |
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262 | (3) |
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Statistics of Charge Carriers in Semiconductors |
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265 | (12) |
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Degenerate Bose Gas: Bose-Einstein Condensation |
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277 | (5) |
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Photon Gas: Third Difficulty of Classical Statistics |
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282 | (7) |
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289 | (8) |
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Electron Gas in Quantizing Magnetic Field |
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297 | (24) |
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Motion of Electron in External Uniform Magnetic Field: Quantization of Energy Spectrum |
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297 | (5) |
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Density of Quantum States in Strong Magnetic Field |
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302 | (2) |
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Grand Thermodynamic Potential and Statistics of Electron Gas in Quantizing Magnetic Field |
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304 | (6) |
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Thermodynamic Properties of Electron Gas in Quantizing Magnetic Field |
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310 | (4) |
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314 | (7) |
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Non-Equilibrium Electron Gas in Solids |
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321 | (42) |
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Boltzmann Equation and Its Applicability Conditions |
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321 | (7) |
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Nonequilibrium Distribution Function |
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321 | (2) |
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323 | (2) |
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Applicability Conditions of the Boltzmann Equation |
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325 | (3) |
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Solution of Boltzmann Equation in Relaxation Time Approximation |
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328 | (12) |
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328 | (2) |
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Solution of the Boltzmann Equation in the Absence of Magnetic Field |
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330 | (6) |
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Solution of Boltzmann Equation with an Arbitrary Nonquantizing Magnetic Field |
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336 | (4) |
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General Expressions of Main Kinetic Coefficients |
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340 | (4) |
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Current Density and General Form of Conductivity Tensors |
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340 | (2) |
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General Expressions of Main Kinetic Coefficients |
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342 | (2) |
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Main Relaxation Mechanisms |
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344 | (15) |
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Charge Carrier Scattering by Ionized Impurity Atoms |
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345 | (3) |
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Charge Carrier Scattering by Phonons in Conductors with Arbitrary Isotropic Band |
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348 | (9) |
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Generalized Formula for Relaxation Time |
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357 | (2) |
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Boltzmann Equation Solution for Anisotropic Band in Relaxation Time Tensor Approximation |
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359 | (4) |
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359 | (1) |
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The Boltzmann Equation Solution |
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360 | (2) |
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362 | (1) |
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Definite Integrals Frequently Met in Statistical Physics |
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363 | (6) |
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Gamma-Function or Euler Integral of Second Kind |
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363 | (1) |
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364 | (1) |
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365 | (1) |
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366 | (1) |
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367 | (2) |
| Jacobian and Its Properties |
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369 | (2) |
| Bibliograpy |
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371 | (2) |
| Index |
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373 | |