On Three Levels

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

  • Mark Fannes
  • Christian Maes
  • André Verbeure

Part of the NATO ASI Series book series (NSSB, volume 324)

Table of contents

  1. Front Matter
    Pages i-x
  2. H. Spohn
    Pages 1-10
  3. L. J. Landau
    Pages 53-71
  4. B. Kümmerer
    Pages 103-113
  5. Alain Joye, Charles-Edouard Pfister
    Pages 139-148
  6. G. Gallavotti
    Pages 165-173
  7. A. Verbeure, V. A. Zagrebnov
    Pages 175-181

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.


Random variable diffusion electron magnetism mathematical physics mechanics phase transition

Editors and affiliations

  • Mark Fannes
  • Christian Maes
  • André Verbeure
    • 1
  1. 1.Katholieke Universiteit LeuvenLeuvenBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-2460-1
  • Copyright Information Plenum Press, New York 1994
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6047-6
  • Online ISBN 978-1-4615-2460-1
  • Series Print ISSN 0258-1221
  • About this book