《統計力學（第3版）》是2012年6月世界圖書出版公司出版的圖書，作者是（美）帕斯瑞。
基本介紹
- 書名：統計力學（第3版）
- 作者：（美）帕斯瑞
- 出版社：世界圖書出版公司
- 出版時間：2012年6月
內容簡介,目錄,
內容簡介
這是一本研究生水平的統計力學經典教材。是以作者多年來在幾所大學為研究生授課的講義為藍本而寫成的。《統計力學(第3版)》初版於1972年，其內容涵蓋了統計力學的標準內容，敘述清晰詳細，深受讀者歡迎。第2版對第1版的內容作了補充和刪改，重寫了關於相變理論的部分，增加了臨界現象的重正化群理論的內容。《統計力學(第3版)》是第3版，增加了一些有關波色—愛因斯坦凝聚態和超冷原子氣體的退化費米行為章節和講述計算模擬方法和早期宇宙熱動力學的兩章；也增加了化學和相變平衡，擴充講述了其與散布、量子場、有限尺寸效應和漲落耗散定理的相互關係。希望這個新的版本一如既往地為新一代的學習統計物理的學生提供堅實的基礎。每章末增加了注釋並附有習題。
讀者對象:物理學專業的研究生、教師及科研人員。
目錄
preface to the third edition
preface to the second edition
preface to the first edition
historical introduction
1. the statistical basis of thermodynamics
1.1. the macroscopic and the microscopic states
1.2. contact between statistics and thermodynamics:physicalsignificance of the number (n, v,e)
1.3. further contact between statistics and thermodynamics
1.4. the classical ideal gas
1.5. the entropy of mixing and the gibbs paradox
1.6. the "correct" enumeration of the microstates
problems
2. elements of ensemble theory
2.1. phase space of a classical system
2.2. liouville's theorem and its consequences
2.3. the microcanordcal ensemble
2.4. examples
2.5. quantum states and the phase space
problems
3. the canonical ensemble
3.1. equilibrium between a system and a heat reservoir
3.2. a system in the canonical ensemble
3.3. physical significance of the various statistical quantitiesin the canonical ensemble
3.4. alternative expressions for the partition function
3.5. the classical systems
3.6. energy fluctuations in the canonical ensemble:correspondencewith the microcanonical ensemble
3.7. two theorems - the "equipartition" and the "virial"
3.8. a system of harmonic oscillators
3.9. the statistics of paramagnetism
3.10. thermodynamics of magnetic systems:negativetemperatures
problems
4. the grand canonical ensemble
4.1. equilibrium between a system and a particle-energyreservoir
4.2. a system in the grand canonical ensemble
4.3. physical significance of the various statisticalquantities
4.4. examples
4.5. density and energy fluctuations in the grand canonicalensemble: correspondence with other ensembles
4.6. thermodynamic phase diagrams
4.7. phase equilibrium and the clausius-clapeyron equation
problems
5. formulation of quantum statistics
5.1. quantum-mechanical ensemble theory:the density matrix
5.2. statistics of the various ensembles
5.3. examples
5.4. systems composed of indistinguishable particles
5.5. the density matrix and the partition function of a system offree particles
problems
6. the theory of simple gases
6.1. an ideal gas in a quantum-mechanical microcanonicalensemble
6.2. an ideal gas in other quantum-mechanical ensembles
6.3. statistics of the occupation numbers
6.4. kinetic considerations
6.5. gaseous systems composed of molecules with internalmotion
6.6. chemical equilibrium problems
7. ideal bose systems
7.1. thermodynamic behavior of an ideal bose gas
7.2. bose-einstein condensation in ultracold atomic gases
7.3. thermodynamics of the blackbody radiation
7.4. the field of sound waves
7.5. inertial density of the sound field
7.6. elementary excitations in liquid helium ii
problems
8. ideal fermi systems
8.1. thermodynamic behavior of an ideal fermi gas
8.2. magnetic behavior of an ideal fermi gas
8.3. the electron gas in metals
8.4. ultracold atomic fermi gases
8.5. statistical equilibrium of white dwarf stars
8.6. statistical model of the atom
problems
9. thermodynamics of the early universe
9.1. observational evidence of the big bang
9.2. evolution of the temperature of the universe
9.3. relativistic electrons, positrons, and neutrinos
9.4. neutron fraction
9.5. annihilation of the positrons and electrons
9.6. neutrino temperature
9.7. primordial nucleosynthesis
9.8. recombination
9.9. epilogue
problems
10. statistical mechanics of interacting systems:the method ofcluster expansions
10.1. cluster expansion for a classical gas
10.2. virial expansion of the equation of state
10.3. evaluation of the virial coefficients
10.4. general remarks on cluster expansions
10.5. exact treatment of the second virial coefficient
10.6. cluster expansion for a quantum-mechanical system
10.7. correlations and scattering
problems
11. statistical mechanics of interacting systems:the method ofquantized fields
11.1. the formalism of second quantization
11.2. low-temperature behavior of an imperfect bose gas
11.3. low-lying states of an imperfect bose gas
11.4. energy spectrum of a bose liquid
11.5. states with quantized circulation
11.6. quantized vortex rings and the breakdown ofsuperfluidity
11.7. low-lying states of an imperfect fermi gas
11.8. energy spectrum of a fermi liquid: landau's phenomenologicaltheory
11.9. condensation in fermi systems
problems
12. phase transitions: criticality, universality, and scaling
12.1. general remarks on the problem of condensation
12.2. condensation of a van der waals gas
12.3. a dynamical model of phase transitions
12.4. the lattice gas and the binary alloy
12.5. ising model in the zeroth approximation
12.6. ising model in the first approximation
12.7. the critical exponents
12.8. thermodynamic inequalities
12.9. landau's phenomenological theory
12.10. scaling hypothesis for thermodynamic functions
12.11. the role of correlations and fluctuations
12.12. the critical exponents v and
12.13. a final look at the mean field theory
problems
13. phase transitions: exact (or almost exact) results for variousmodels
13.1. one-dimensional fluid models
13.2. the ising model in one dimension
13.3. the n-vector models in one dimension
13.4. the ising model in two dimensions
13.5. the spherical model in arbitrary dimensions
13.6. the ideal bose gas in arbitrary dimensions
13.7. other models
problems
14. phase transitions: the renormalization group approach
14.1. the conceptual basis of scaling
14.2. some simple examples of renormalization
14.3. the renormalization group: general formulation
14.4. applications of the renormalization group
14.5. finite-size scaling
problems
15. fluctuations and nonequilibrium statistical mechanics
15.1. equilibrium thermodynamic fluctuations
15.2. the einstein-smoluchowski theory of the brownianmotion
15.3. the langevin theory of the brownian motion
15.4. approach to equilibrium: the fokker-planck equation
15.5. spectral analysis of fluctuations: the wiener-khintchinetheorem
15.6. the fluctuation-dissipation theorem
15.7. the onsager relations
problems
16. computer simulations
16.1. introductionand statistics
16.2. monte carlo simulations
16.3. molecular dynamics
16.5. computer simulation caveats
problems
appendices
a. influence of boundary conditions on the distribution of quantumstates
b. certain mathematical functions
c. "volume" and "surface area" of an n-dimensional sphere ofradius r
d. on bose-einstein functionse. on fermi-dirac functions
f. a rigorous analysis of the ideal bose gas and the onset ofbose-einstein condensation
g. on watson functions
h. thermodynamic relationships
i. pseudorandom numbers
bibliography
index
preface to the second edition
preface to the first edition
historical introduction
1. the statistical basis of thermodynamics
1.1. the macroscopic and the microscopic states
1.2. contact between statistics and thermodynamics:physicalsignificance of the number (n, v,e)
1.3. further contact between statistics and thermodynamics
1.4. the classical ideal gas
1.5. the entropy of mixing and the gibbs paradox
1.6. the "correct" enumeration of the microstates
problems
2. elements of ensemble theory
2.1. phase space of a classical system
2.2. liouville's theorem and its consequences
2.3. the microcanordcal ensemble
2.4. examples
2.5. quantum states and the phase space
problems
3. the canonical ensemble
3.1. equilibrium between a system and a heat reservoir
3.2. a system in the canonical ensemble
3.3. physical significance of the various statistical quantitiesin the canonical ensemble
3.4. alternative expressions for the partition function
3.5. the classical systems
3.6. energy fluctuations in the canonical ensemble:correspondencewith the microcanonical ensemble
3.7. two theorems - the "equipartition" and the "virial"
3.8. a system of harmonic oscillators
3.9. the statistics of paramagnetism
3.10. thermodynamics of magnetic systems:negativetemperatures
problems
4. the grand canonical ensemble
4.1. equilibrium between a system and a particle-energyreservoir
4.2. a system in the grand canonical ensemble
4.3. physical significance of the various statisticalquantities
4.4. examples
4.5. density and energy fluctuations in the grand canonicalensemble: correspondence with other ensembles
4.6. thermodynamic phase diagrams
4.7. phase equilibrium and the clausius-clapeyron equation
problems
5. formulation of quantum statistics
5.1. quantum-mechanical ensemble theory:the density matrix
5.2. statistics of the various ensembles
5.3. examples
5.4. systems composed of indistinguishable particles
5.5. the density matrix and the partition function of a system offree particles
problems
6. the theory of simple gases
6.1. an ideal gas in a quantum-mechanical microcanonicalensemble
6.2. an ideal gas in other quantum-mechanical ensembles
6.3. statistics of the occupation numbers
6.4. kinetic considerations
6.5. gaseous systems composed of molecules with internalmotion
6.6. chemical equilibrium problems
7. ideal bose systems
7.1. thermodynamic behavior of an ideal bose gas
7.2. bose-einstein condensation in ultracold atomic gases
7.3. thermodynamics of the blackbody radiation
7.4. the field of sound waves
7.5. inertial density of the sound field
7.6. elementary excitations in liquid helium ii
problems
8. ideal fermi systems
8.1. thermodynamic behavior of an ideal fermi gas
8.2. magnetic behavior of an ideal fermi gas
8.3. the electron gas in metals
8.4. ultracold atomic fermi gases
8.5. statistical equilibrium of white dwarf stars
8.6. statistical model of the atom
problems
9. thermodynamics of the early universe
9.1. observational evidence of the big bang
9.2. evolution of the temperature of the universe
9.3. relativistic electrons, positrons, and neutrinos
9.4. neutron fraction
9.5. annihilation of the positrons and electrons
9.6. neutrino temperature
9.7. primordial nucleosynthesis
9.8. recombination
9.9. epilogue
problems
10. statistical mechanics of interacting systems:the method ofcluster expansions
10.1. cluster expansion for a classical gas
10.2. virial expansion of the equation of state
10.3. evaluation of the virial coefficients
10.4. general remarks on cluster expansions
10.5. exact treatment of the second virial coefficient
10.6. cluster expansion for a quantum-mechanical system
10.7. correlations and scattering
problems
11. statistical mechanics of interacting systems:the method ofquantized fields
11.1. the formalism of second quantization
11.2. low-temperature behavior of an imperfect bose gas
11.3. low-lying states of an imperfect bose gas
11.4. energy spectrum of a bose liquid
11.5. states with quantized circulation
11.6. quantized vortex rings and the breakdown ofsuperfluidity
11.7. low-lying states of an imperfect fermi gas
11.8. energy spectrum of a fermi liquid: landau's phenomenologicaltheory
11.9. condensation in fermi systems
problems
12. phase transitions: criticality, universality, and scaling
12.1. general remarks on the problem of condensation
12.2. condensation of a van der waals gas
12.3. a dynamical model of phase transitions
12.4. the lattice gas and the binary alloy
12.5. ising model in the zeroth approximation
12.6. ising model in the first approximation
12.7. the critical exponents
12.8. thermodynamic inequalities
12.9. landau's phenomenological theory
12.10. scaling hypothesis for thermodynamic functions
12.11. the role of correlations and fluctuations
12.12. the critical exponents v and
12.13. a final look at the mean field theory
problems
13. phase transitions: exact (or almost exact) results for variousmodels
13.1. one-dimensional fluid models
13.2. the ising model in one dimension
13.3. the n-vector models in one dimension
13.4. the ising model in two dimensions
13.5. the spherical model in arbitrary dimensions
13.6. the ideal bose gas in arbitrary dimensions
13.7. other models
problems
14. phase transitions: the renormalization group approach
14.1. the conceptual basis of scaling
14.2. some simple examples of renormalization
14.3. the renormalization group: general formulation
14.4. applications of the renormalization group
14.5. finite-size scaling
problems
15. fluctuations and nonequilibrium statistical mechanics
15.1. equilibrium thermodynamic fluctuations
15.2. the einstein-smoluchowski theory of the brownianmotion
15.3. the langevin theory of the brownian motion
15.4. approach to equilibrium: the fokker-planck equation
15.5. spectral analysis of fluctuations: the wiener-khintchinetheorem
15.6. the fluctuation-dissipation theorem
15.7. the onsager relations
problems
16. computer simulations
16.1. introductionand statistics
16.2. monte carlo simulations
16.3. molecular dynamics
16.5. computer simulation caveats
problems
appendices
a. influence of boundary conditions on the distribution of quantumstates
b. certain mathematical functions
c. "volume" and "surface area" of an n-dimensional sphere ofradius r
d. on bose-einstein functionse. on fermi-dirac functions
f. a rigorous analysis of the ideal bose gas and the onset ofbose-einstein condensation
g. on watson functions
h. thermodynamic relationships
i. pseudorandom numbers
bibliography
index
