Thermodynamics and Statistical Mechanics > 물리학

Preface
1 Prologue 1
1.1 Entropy in Thermodynamics and Statistical Mechanics 1
1.2 An Example: Scrambled Eggs 3
1.3 Basic Notions 8
1.4 Reservoirs 14
2 Isolated Systems and Thermal Equilibrium 19
2.1 Definitions of Thermodynamics Quantities 19
2.2 Heat Reservoir 21
2.3 Properties of Thermodynamics Systems 27
3 Various Reservoirs 35
3.1 Constant Linear and Angular Velocity 35
3.2 Constant Chemical Potential 36
3.3 Constant Pressure 40
3.4 Constant Enthalpy 41
3.5 Constant Entropy 44
3.6 Thermodynamic Second Derivatives 46
3.7 Equivalence of Systems 50
3.8 Extensivity 51
4 Probability and the General Formalism 55
4.1 Probability Distributions 55
4.2 Constrained and Equilibrium Potentials 61
4.3 Partition Function 65
4.4 Specific Reservoirs 70
5 Classical Statistical Mechanics 83
5.1 Constant Energy Hamiltonian System 84
5.2 Various Reservoirs 98
6 Ideal Systems 111
6.1 Ideal Quantum Systems 111
6.2 Spin-Lattice Models 121
6.3 One-Dimensional Harmonic Crystal 129
6.4 Classical Ideal Gas 135
6.5 Mean Field Theory 145
7 Interacting Particles 153
7.1 Intermolecular Potentials 153
7.2 Partition Function and Derivatives 158
7.3 Particle Densities and Distributions 170
8 Diagrammatic and Functional Expansions 181
8.1 Virial Expansion 181
8.2 Cluster Diagrams 185
8.3 Functional Differentiation 189
8.4 Particle Densities 192
8.5 Expansions of the Density and Pressure 194
9 Pair Functions 207
9.1 Density Expansions of the Pair Function 207
9.2 Ornstein-Zernike Equation 211
9.3 Closure Relations 214
9.4 Born-Green-Yvon Hierarchy 222
9.5 Thermodynamic Properties 225
9.6 Asymptotic Analysis 235
10 Functional and Perturbation Theory 243
10.1 Uniform System 243
10.2 Singlet Functionals 245
10.3 Pair Functionals 256
10.4 Perturbation Theory 264
11 Inhomogeneous Systems 277
11.1 Spherical Inhomogeneity 277
11.2 Planar Walls 287
11.3 Other Solute Geometries 296
11.4 Inhomogeneous Ornstein-Zernike Equation 308
12 Coulomb Systems 317
12.1 Mean Field Approximation 317
12.2 Electrolytes 323
12.3 Electric Double Layer 336
12.4 Algebraic Correlations along a Wall 347
13 Computer Simulations 351
13.1 Molecular Dynamics 352
13.2 Periodic Boundary Conditions 356
13.3 Monte Carlo 359
13.4 Advanced Techniques 362
App. A: Nature of Probability 381
App. B: Work and Conjugate Variables 407
App. C: Mathematical Results 415
Index 419