| Leo Kadanoff is a theoretical physicist who has done research on chaos theory, superconductivity, phase transitions, fluid flow, the sociology of urban areas, heat transfer in missiles and elementary particle physics, During the last twenty-five years, he has devoted considerable effort to the development of teaching programs for underaduates based upon the use of small computers. Much of this teaching program has been an outgrowth of his interes.. << 查看详细 |
| introduction ⅰ fundamentals of statistical physics 1 the lectures——a survey 1.1 the journey: many different approaches 1.2 the main sights 1.3 is the trip worthwhile? 2 one particle and many 2.1 formulation 2.2 the ising model 2.3 n indepenedent particles——quantum description 2.4 a verages from derivatives 2.5 n independent particles in a box 2.6 fluctuations big and small 2.7 athe problems of statistical physics 3 gaussian distributions 3.1 introduction 3.2 one variable 3.3 many gaussian varialbles 3.4 lattice green function 3.5 gaussian random functions . 3.6 central limit theorem 3.7 distribution of energies 3.8 large deviations 3.9 on almost gaussina integrals 3.10 three versions of gaussian problems 4 quantum mechanics and lattices 4.1 all of quantum mechanics in one brief section 4.2 from d=1 models to quantum mechanics 4.3 an example: the linear ising chain 4.4 one-dimensional gaussian model 4.5 coherence length 4.6 operator averages 4.7 correlation functions 4.8 ising correlations 4.9 two-dimensional ising model ⅱ random dynamics 5 diffusion and hopping 6 from hops to statistical mechanics 7 correlations and response ⅲ mor statistical mechanics 8 statistical thermodynamics 9 fermi, bose, and other ⅳ phase transitions 10 overview of phase transtions 11 mean fiel theory of critical behavior 12 continuous phase transitions 13 renormaliztion in one dimension 14 real space renormaliztion techniques 15 duality 16 planar model and coulomb systems 17 sy model, renormaliztion, and duality index |
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