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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 확률과 통계 > 일반
· ISBN : 9789027726490
· 쪽수 : 307쪽
· 출판일 : 1988-02-29
목차
Prologue.- References.- 1 The Equations of Classical Hydrodynamics.- A. Rheology.- B. The Conventional Microscopic Connection.- Transport Coefficients.- C. Thermodynamics.- D. Critique.- Problems.- References.- 2 General Theory of Nonequilibria.- A. Theory of the Partition Functional.- References.- 3 Theory of Dynamical Response.- A. Response Functions.- B. Linear Response and Fluctuations.- C. The Scope of Linear Response Theory.- Problems.- References.- 4 Dynamical Response of Real Systems.- Electric Fields.- Magnetic Fields.- A. Magnetic Polarization.- B. Electric Polarization.- C. Electrical Conductivity.- D. Gyromagnetic Phenomena.- E. Galvanomagnetic Effects.- F. Nonlinear Electromagnetic Response.- Problems.- References.- 5 General Nonequilibrium Processes.- A. Theory of the Steady State.- B. The Linear Approximation.- Comparison with Linear Dynamic Response.- C. Higher-Order Terms.- Problems.- References.- 6 Analysis of Covariance Functions for Simple Fluids.- A. General Properties of Covariance Functions.- Limiting Forms.- B. Calculation of Covariance Functions.- Perturbation Theory.- Free-Particle Covariance Functions.- Summary.- Problems.- References.- 7 Thermally Driven Systems.- A. Theory of Thermal Driving.- Mode Coupling.- Entropy.- Relation to Dynamical Driving.- B. Relaxation Processes.- Time-Decay of Covariance Functions.- Problems.- References.- 8 Transport Processes and Hydrodynamics.- A. Linear Transport Processes.- Particle Diffusion.- Thermal Conductivity.- Viscoelasticity.- B. Thermomechanical Processes.- Thermoelectric Phenomena.- Thermomagnetic Effects.- C. The Equations of Hydrodynamics.- D. The Hydrodynamic Limit.- Transport Coefficients.- Structure of Covariance Functions.- Problems.- References.- 9 Sound Propagation and Attenuation.- A. The Classical Theory of Sound.- Microscopic Connection.- B. Linear Theory of Sound Propagation and Attenuation.- Some General Considerations.- C. Ideal Gases, I: Boltzmann Statistics.- Physical Interpretation.- An Interaction Model.- D. Ideal Gases, II: Quantum Statistics.- Landau Theory of the Fermi Liquid.- Problems.- References.- Epilogue.- Nonlinearities.- Irregular Motion.- References.- Appendix A Operator Calculus and Identities.- Operator Identities.- Time-Evolution Operators.- References.- Appendix B Diagrammatic Analysis of Covariance Functions.- Self-Energy Analysis.- Interaction Models.- Ring Diagrams.- Ladder Diagrams.- Generalized Vertices.- References.- Appendix C The Density Covariance Function.- Summation of Ring Diagrams.- Ladder Sum and Hard Spheres.- References.















