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On Three Levels

Micro-, Meso-, and Macro-Approaches in Physics

  • Book
  • © 1994

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Editors:
  1. Mark Fannes
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  2. Christian Maes
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  3. André Verbeure

    1. Katholieke Universiteit Leuven, Leuven, Belgium

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Part of the book series: NATO Science Series B: (NSSB, volume 324)

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Table of contents (61 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Quantum Kinetic Equations

    • H. Spohn
    Pages 1-10

  3. Microscopic Derivation of Hydrodynamics with Phase Transition in a Plasma Model

    • G. L. Sewell
    Pages 11-21

  4. Ferromagnetism in Itinerant Electron Systems: Rigorous Examples from Flat-Band Hubbard Models

    • H. Tasaki
    Pages 23-33

  5. Homogeneity in the Ground State of the Two-Dimensional Falicov-Kimball Model

    • T. Kennedy
    Pages 35-41

  6. Diffusive Limit of the Asymmetric Simple Exclusion: The Navier-Stokes Correction

    • R. Esposito, R. Marra, H. T. Yau
    Pages 43-51

  7. Weak Coupling Limit: Feynman Diagrams

    • L. J. Landau
    Pages 53-71

  8. Limit Laws for Recurrence Times in Expanding Maps of an Interval

    • P. Collet
    Pages 73-79

  9. Stochastic Geometric Aspects of Some Quantum Spin Chains

    • Bruno Nachtergaele
    Pages 81-89

  10. The Two Species Totally Asymmetric Simple Exclusion Process

    • Eugene R. Speer
    Pages 91-102

  11. How to Reconstruct a Heat Bath

    • B. Kümmerer
    Pages 103-113

  12. Interacting Particle Systems on Non-Commutative Spaces

    • Taku Matsui
    Pages 115-123

  13. Non-Self-Averaging Effects in Sums of Random Variables, Spin Glasses, Random Maps and Random Walks

    • B. Derrida
    Pages 125-137

  14. Quantum Adiabatic Evolution

    • Alain Joye, Charles-Edouard Pfister
    Pages 139-148

  15. Semi-Classical Inelastic S-Matrix for One-Dimensional N-States Systems

    • Ph. A. Martin, G. Nenciu
    Pages 149-154

  16. Gibbsian versus Non-Gibbsian Measures: Some Results and Some Questions in Renormalization Group Theory and Stochastic Dynamics

    • A. C. D. van Enter, R. Fernández, A. D. Sokal
    Pages 155-160

  17. Stabilities and Instabilities in Classical Lattice Gas Models without Periodic Ground States

    • Jacek Miękisz
    Pages 161-163

  18. One Dimensional Anomaly of the Fermi Surface

    • G. Gallavotti
    Pages 165-173

  19. Quantum Fluctuation Limit: Examples from Solid State Physics

    • A. Verbeure, V. A. Zagrebnov
    Pages 175-181

  20. Large Deviations and the Thermodynamic Formalism: A New Proof of the Equivalence of Ensembles

    • J. T. Lewis, C.-E. Pfister, W. G. Sullivan
    Pages 183-192
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Keywords

About this book

This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro­ phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro­ cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.

Editors and Affiliations

  • Katholieke Universiteit Leuven, Leuven, Belgium

    André Verbeure

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