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Other titles in the Dover Books on Physics & Chemistry series:
Statistical Physics (Dover Books on Physics & Chemistry)by Gregory H. Wannier
Synopses & ReviewsPublisher Comments:Until recently, the field of statistical physics was traditionally taught as three separate subjects: thermodynamics, statistical mechanics, and kinetic theory. This text, a forerunner in its field and now a classic, was the first to recognize the outdated reasons for their separation and to combine the essentials of the three subjects into one unified presentation of thermal physics. It has been widely adopted in graduate and advanced undergraduate courses, and is recommended throughout the field as an indispensable aid to the independent study and research of statistical physics. Designed for a oneyear course of instruction for nonspecialist graduate students, or advanced undergraduates, the book is divided into three parts. Principles of Statistical Thermodynamics (Part I) covers the first and second laws of thermodynamics, elementary statistical methods in physics, and other topics, including an especially clear and enlightening discussion of thermodynamic potentials and their applications. Part II, devoted to equilibrium statistics of special systems, offers excellent coverage of the imperfect gas, lattice dynamics, the statistics of semiconductors, the twodimension Ising model, and a particularly lucid chapter on dilute solutions. Moreover, the treatment of topics in solid state physics is more extensive than is usually found in books on statistical mechanics. Kinetic theory, transport coefficients, and fluctuations comprise Part III, with a fine presentation of the Kac ring model; the Boltzmann transport equation; kinetics of charge carriers in solids, liquids, and gases; fluctuations and Brownian motion, and more. A liberal quantity of problems has been added to each chapter, including a special section of "recommended problems," whose solutions will insure an adequate understanding of the text. Solutions of all problems will be found at the back of the book along with a list of supplementary literature. Synopsis:Classic text combines thermodynamics, statistical mechanics and kinetic theory in one unified presentation of thermal physics. Problems with solutions. Bibliography.
Synopsis:Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition. Synopsis:This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The threepart treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition.
Synopsis:This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The threepart treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition. Table of ContentsPART I Principles of statistical thermodynamics
1 The first law of thermodynamics 11. Systems and state variables 12. The equation of state 13. "Large" and "small" systems; statistics of Gibbs versus Boltzman" 14. "The First Law; heat, work, and energy" 15. Precise formulation of the First Law for quasistatic change Problems 2 Elementary statistical methods in physics 21. Probability distributions; binomial and Poisson distributions 22. Distribution function for large numbers; Gaussian distribution 23. Statistical dealing with averages in time; virial theorem Problems 3 Statistical counting in mechanics 31. Statistical counting in classical mechanics; Liouville theorem and ergodic hypothesis 32. Statistical counting in quantum mechanics Problems 4 The GibbsBoltzmann distribution law 41. Derivation of the Gibbsian or canonical distribution 42. Elucidation of the temperature concept 43. The perfect gas; Maxwellian distribution 44. Energy distribution for small and large samples; thermodynamic limit 45. Equipartition theorem and dormant degrees of freedom Problems 5 Statistical justification of the Second Law 51. Definition of entropy; entropy and probability 52. "Proof of the Second Law for "clamped" systems" 53. The Ehrenfest or adiabatic principle 54. Extension of the Second Law to general systems 55. Simple examples of entropy expressions 56. Examples of entropyincreasing processes 57. Third Law of thermodynamics Problems 6 Older ways to the Second Law 61. Proof by the method of Carnot cycles 62. Proof of Caratheodory Problems 7 Thermodynamic exploitation of the Second Law; mass transfer problems 71. Legendre transformations and thermodynamic potentials 72. Thermodynamics of bulk properties; extensive and intensive variables 73. Equilibrium of two phases; equation of Clausius and Clapeyron 74. "Equilibrium of multiphase, multicomponents systems; Gibbs' phase rule" 75. Refined study of the twophase equilibrium; vapor pressure of small drops Problems 8 The grand ensemble; classical statistics of independent particles 81. Statistics of the grand ensemble 82. Other modified statistics; Legendretransformed partition functions 83. MaxwellBoltzmann particle statistics 84. Particle versus system partition function; Gibbs paradox 85. Grand ensemble formulas for Boltzmann particles Problems 9 Quantum statistics of independent particles 91. Pauli exclusion principle 92. FermiDirac statistics 93. Theory of the perfect Fermi gas 94. BoseEinstein statistics 95. The perfect Bose gas; Einstein condensation PART II Equilibrium statistics of special systems 10 Thermal properties of electromagnetic radiation 101. Realization of equilibrium radiation; black body radiation 102. Thermodynamics of black body radiation; laws of StefanBoltzmann and Wien 103. Statistics of black body radiation; Planck's formula Problems 11 Statistics of the perfect molecular gas 111. Decomposition of the degrees of freedom of a perfect molecular gas 112. Centerofmass motion of gaseous molecules 113. Rotation of gaseous molecules 114. The rotational heat capacity of hydrogen 115. Vibrational motion of diatomic molecules 116. The law of mass action in perfect molecular gases Problems 12 The problem of the imperfect gas 121. Equation of state from the partition function 122. Equation of state from the virial theorem 123. Approximate results from the virial theorem; van der Waals' equation 124. The JouleThomson effect 125. UrsellMayer expansion of the partition function; diagram summation 12.6 Mayer's cluster expansion theorem 127. Mayer's formulation of the equation of state of imperfect gases 128. Phase equilibrium between liquid and gas; critical phenomenon Problems 13 Thermal properties of crystals 131. Relation between the vibration spectrum and the heat capacity of solids 132. Vibrational bands of crystals; models in one dimension 133. Vibrational bands of crystals; general theory 134. Debye theory of the heat capacity of solids 135. Vapor pressure of solids Problems 14 Statistics of conduction electrons in solids 141. The distinction of metals and insulators in fermi statistics 142. Semiconductors: electrons and holes 143. Theory of thermionic emission 144. Degeneracy and nondegeneracy: electronic heat capacity in metals 145. "Doped" semiconductors: np junctions" Problems 15 Statistics of magnetism 151. Paramagnetism of isolated atoms and ions 152. Pauli paramagnetism 153. Ferromagnetism; internal field model 154. Ferromagnetism; Ising model 155. Spin wave theory of magnetization Problems 16 Mathematical analysis of the Ising model 161. Eigenvalue method for periodic nearest neighbor systems 162. Onedimensional Ising model 163. Solution of the twodimensional Ising model by abstract algebra 164. Analytic reduction of the results for the two dimensional Ising model 17 Theory of dilute solutions 171. Thermodynamic functions for dilute solutions 172. Osmotic pressure and other modifictions of solvent properties 173. Behavior of solutes in dilute solutions; analogy to perfect gases 174. Theory of strong electrolytes Problems "PART III Kinetic theory, transport coefficients and fluctuations" 18 Kinetic justification of equilibrium statistics; Boltzmann transport equation 181. Derivation of the Boltmann transport equation 182. Equilibrium solutions of the Boltzmann transport equation; Maxwellian distribution 183. Boltzmann's Htheorem 184. Paradoxes associated with the Boltzmann transport equation; Kac ring model 185. Relaxation rate spectrum for Maxwellian molecules 186. Formal relaxtion theory of the Boltzmann equation Problems 19 Transport properties of gases 191. Elementary theory of transport phenomena in gases 192. Determination of transport coefficients from the Boltzmann equation 193. Discussion of empirical viscosity data Problems 20 Kinetics of charge carriers in solids and liquids 201. Kinetic theory of Ohmic conduction 202. Nature of the charge carriers in matter; Nernst relation 203. Nature of the electric carriers in metals; law of Wiedmann and Franz 204. Separation of carrier density and carrier velocity; Hall effect Problems 21 Kinetics of charge carriers in gases 211. Kinetics of the polarization force 212. "High field" velocity distribution of ions and electrons in gases" 213. Velocity distribution functions for electrons; formulas of Davydov and Druyvesteyn 22 Fluctuations and Brownian motion 221. Equilibrium theory of fluctuations 222. Brownian motion 223. Spectral decompostion of Brownian motion ; WienerKhinchin theorem Problems 23 Connection between transport coefficients and equilibrium statistics 231. Nyquist relation 232. Kubo's equilbrium expression for electrical conductivity 233. Reduction of the Kubo relation to those of Nernst and Nyquist 234. 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