统计物理学方法
2003-9
世界图书出版公司
T.Tanaka
293
This book may be used as a textbook for the first or second year graduate student who is studying concurrently such topics as theory of complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics. In a textbook on statistical mechanics, it is common practice to deal with two im-portant areas of the subject: mathematical formulation of the distribution laws of sta- tistical mechanics, and demonstrations of the applicability of statistical mechanics.
Preface Acknowledgements 1 The laws of thermodynamics 1.1 The thermodynamic system and processes 1.2 The zeroth law of thermodynamics 1.3 The thermal equation of state 1.4 The classical ideal gas 1.5 The quasistatic and reversible processes 1.6 The first law of thermodynamics 1.7 The heat capacity 1.8 The isothermal and adiabatic processes 1.9 The enthalpy 1.10 The second law of thermodynamics 1.11 The Carnot cycle 1.12 The thermodynamic temperature 1.13 The Camot cycle of an ideal gas 1.14 The Clausius inequality 1.15 The entropy 1.16 General integrating factors 1.17 The integrating factor and cyclic processes 1.18 Hausen's cycle 1.19 Employnent of the second law of thermodynamics 2.20 The universal i tegrating factor Exercises2 Thermodynamic relations 2.1 Thermodynamic potentials 2.2 Maxwell relations3 The ensemble theory4 System Hamitonians5 The density matrix6 The cluster variation method7 Infintite-series reprentaions of correlation functions8 The extended mean-field approximation9 The exact Ising lattice identities10 Propagatinon of short range order11 Phase transition of the two-dimensional Ising modelAppendix1 The gamma functionAppendix2 The critical exponent in the tetrahedron approximationAppendix3 Programming organizationo of cluster variation methodAppendix4 Aunitary transformation applied to the Hubbard HamiltominaAppendix5 Exact Ising identities on the diamond latticeReferncesBibliographyIndex
