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Fundamental problems in statistical mechanics VIII : proceedings of the Eighth International Summer School on Fundamental Problems in Statistical Mechanics, Altenburg, Germany, 28 June - 10 July, 1993 /
In keeping with the tradition of previous summer schools on fundamental problems in statistical mechanics, this book contains in depth treatemnts of topics of current interest in statistical mechanics and closely related fields. The topics covered include: dynamical impurity problems, quantum phase...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
1994.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Fundamental Problems in Statistical Mechanics VIII; Copyright Page; PREFACE; Table of Contents; Chapter 1. Dynamical Impurity Problems; Introduction; Strategy of dynamical impurity problems; One-dimensional field theory; Bosonization; Exactly solvable limits; Impurity properties; Conduction electron properties; References; Chapter 2. Bosons in a Random Potential; Introduction; Localization theory; Superconductor-insulator transition in 2d; Model hamiltonian; Phase diagram; Path integral formulation; Scaling relations; Universal conductivity; Transformation of the hamiltonian
- Finte size scalingResults; Conclusions; References; Chapter 3. Statistical Mechanics of Vortices in Type-II Superconductors; Introduction; Mean-field theory; Thermal fluctuations; Nonlinear resistivity in superconducting phases; Phase transitions; Conclusion; References; Chapter 4. Correlation Functions of Solvable Models; Introduction; Yang-Baxter equation for the eight-vertex model; The partition sum per site Kz; Z-Invariance; Correlations and dislocations; Staggered polarization; Conclusion; References; Chapter 5. Random Matrices and Two-Dimensional Gravity; Introduction
- A brief introduction to string theoryRandom triangulations and matrix models; The double scaling limit; References; Chapter 6. Aperiodic Structures: Geometry, Diffraction Spectra, and Physical Properties; The geometry of quasicrystals; Diffraction spectra; Physical properties; References; Chapter 7. Universal aspects of Interacting Lines and Surfaces; Interfaces, strings, and membranes; Scaling behavior of interacting manifolds; Effective models for interacting manifolds; A refined scaling picture for unbinding phenomena; Field theoretic renormalization I: An introductory example
- Field theoretic renormalization II: Applications to interface problemsReferences; Chapter 8. Phase Transitions in Colloidal Dispersions; Introduction; Fluid-crystal and fluid-liquid crystal phase transitions in colloidal dispersions; Potential of mean force; The isotropic-nematic transition in monodisperse suspensions of thin hard rods; The isotropic-nematic transition in bidisperse suspensions of thin hard rods; Concluding remarks; References; Chapter 9. Polymers, both Living and Dead; Equilibrium statistics; Living polymers; Polymer dynamics; Living polymer dynamics
- Nonlinear viscoelasticityReferences; Chapter 10. Amplitude Equations for Pattern Forming Systems; Introduction; Amplitude equations; Physical examples; Beyond the phase winding solutions; Concluding remarks; Suggested further reading; References; Chapter 11. Turbulence and Navier-Stokes-Equations; Introduction: The phenomenon; Equations of motion, notions, numbers; Lyapunov spectrum; Computer work in direct simulations; Multiscale analysis of the Navier-Stokes equations; Small scale intermittency; Scale resolved spectral analysis; Kolmogorov's refined similarity hypothesis