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Numerical Methods in the Study of Critical Phenomena

Proceedings of a Colloquium, Carry-le-Rouet, France, June 2–4, 1980

  • Conference proceedings
  • © 1981

Overview

Editors:
  1. Jean Dora

    1. Laboratoire d’Informatique et de Mathématiques Appliquées de Grenoble, Université Scientifique et Médicale de Grenoble, Grenoble Cédex, France

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  2. Jacques Demongeot

    1. Laboratoire d’Informatique et de Mathématiques Appliquées de Grenoble, Université Scientifique et Médicale de Grenoble, Grenoble Cédex, France

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  3. Bernard Lacolle

    1. Laboratoire d’Informatique et de Mathématiques Appliquées de Grenoble, Université Scientifique et Médicale de Grenoble, Grenoble Cédex, France

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 9)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-IX
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  2. Mathematical Methods

    1. Front Matter

      Pages 1-1
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    2. Study of Singularities

      1. Padé-Hermite Approximants
        • J. Della Dora
        Pages 3-11
      2. Some Comments About the Numerical Utilization of Factorial Series
        • J. P. Ramis, J. Thomann
        Pages 12-25
      3. Introduction to Real Quasianalytic Classes and Continuation Problems
        • T. Reboul
        Pages 26-36

    3. Critical Phenomena in Dynamical Systems

      1. Groups Transformations and Critical Asymptotics Applications to Non-Linear Differential and Partial Derivative Equations
        • J. R. Burgan, M. R. Feix, E. Fijalkow, M. P. Moraux, A. Munier
        Pages 37-46
      2. Antecedent Invariant Curves of an Endomorphism. Influence Domain of a Stable Cycle Coexisting with an Isolated Stable Invariant Curve
        • R. L. Clerc, Ch. Hartmann
        Pages 47-53
      3. Topological Entropy As a Measure of Dynamic Chaos in Endomorphisms
        • J. Couot, I. Gumowski, C. Gillot, C. Mira
        Pages 54-56
      4. Topological Entropy of Markov Processes for a C0- Endomorphism of the Interval
        • C. Gillot, G. Gillot
        Pages 57-63
      5. Sequential Iteration of Threshold Functions
        • E. Golès Chacc
        Pages 64-70
      6. Some Properties of Second Order Dynamic Systems with Parametric Resonances
        • I. Gumowski
        Pages 71-75

  3. Applications in Physics

    1. Front Matter

      Pages 77-77
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    2. Critical Phenomena in Solid-State Physics

      1. On the Bifurcation of Certain Kam Tori in the Standard Mapping
        • S. Aubry
        Pages 79-80
      2. MO Stochasticity Criterion
        • R. Caboz, A. Lonke
        Pages 81-85
      3. Singularities in Saw Numerical Simulations
        • F. C. Cuozzo, E. E. Cambiaggio
        Pages 86-96
      4. Monte Carlo Measurement of the Single Vortex Free Energy in the Kosterlitz-Thouless Theory
        • H. J. Hilhorst, H. N. J. Vogelij, C. van Leeuwen, B. P. Th. Veltman
        Pages 97-103
      5. Algebraic Method for the Computation of the Partition Functions of Spin Glasses and Numerical Study of the Distributions of Zeros
        • B. Lacolle
        Pages 104-115
      6. Percolation and Gelation by Additive Polymerization
        • P. Manneville, L. de Sèze
        Pages 116-124
      7. Ground State Structure of the Random Frustration Model in Two Dimensions
        • R. Maynard, R. Rammal
        Pages 125-131
      8. Line Defects and the Glass Transition
        • N. Rivier, D. M. Duffy
        Pages 132-142
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Keywords

About this book

This volume contains most of the lectures presented at the meeting held in Carry-le­ nd Rouet from the 2 to the 4th June 1980 and entitled "Numerical Methods in the Study of Critical Phenomena". Scientific subjects are becoming increasingly differentiated, and the number of journals and meetings devoted to them is continually increasing. Thus it has become very difficult for the non-specialist to approach subjects with which he is not familiar. Hence the purpose of our meeting was to bring together scientists from different disciplines to study a common subject and to stimulate discussion' between participants. We hope this goal was reached. The lectures are grouped in five chapters and, inside the first and the second chapter, under two headings. In each group they are classified in alphabetical order by author. We are pleased to publish these Proceedings in a series whose multidisciplinary character has been emphasized from the beginning. We are indebted to all who provided us with their help, particularly to Mrs. A. Litman of the Centre International de Rencontres Mathematiques at Luminy (C.I.R.M.) whose kindness and efficiency are well known; from the practical point of view, the meetings were organized within the scientific framework of the G.I.S. No.19 (C.N.R.S.), with the participation of the University of Grenoble.

Editors and Affiliations

  • Laboratoire d’Informatique et de Mathématiques Appliquées de Grenoble, Université Scientifique et Médicale de Grenoble, Grenoble Cédex, France

    Jean Dora, Jacques Demongeot, Bernard Lacolle

Bibliographic Information

  • Book Title: Numerical Methods in the Study of Critical Phenomena

  • Book Subtitle: Proceedings of a Colloquium, Carry-le-Rouet, France, June 2–4, 1980

  • Editors: Jean Dora, Jacques Demongeot, Bernard Lacolle

  • Series Title: Springer Series in Synergetics

  • DOI: https://doi.org/10.1007/978-3-642-81703-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-642-81705-2Published: 14 December 2011

  • eBook ISBN: 978-3-642-81703-8Published: 06 December 2012

  • Series ISSN: 0172-7389

  • Series E-ISSN: 2198-333X

  • Edition Number: 1

  • Number of Pages: X, 272

  • Topics: Theoretical, Mathematical and Computational Physics

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