Stochastic Nonlinear Systems in Physics, Chemistry, and Biology

Proceedings of the Workshop Bielefeld, Fed. Rep. of Germany, October 5–11, 1980

  • Ludwig Arnold
  • René Lefever
Conference proceedings

Part of the Springer Series in Synergetics book series (SSSYN, volume 8)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction: From Deterministic to Stochastic Behavior

    1. Front Matter
      Pages 1-1
    2. B. Misra, I. Prigogine
      Pages 2-11
  3. Approximation of Stochastic Processes

    1. Front Matter
      Pages 21-21
    2. G. Papanicolaou, O. Pironeau
      Pages 36-41
  4. Description of Internal Fluctuations

    1. Front Matter
      Pages 43-43
    2. Kurt Binder
      Pages 62-71
    3. D. Walgraef, G. Dewel, P. Borckmans
      Pages 72-83
  5. Long-Term Behavior of Stochastic Systems

    1. Front Matter
      Pages 85-85
  6. External Fluctuations and Noise Induced Transitions

    1. Front Matter
      Pages 115-115
    2. Werner Horsthemke
      Pages 116-126
  7. Stochastic Behavior in Model Systems

    1. Front Matter
      Pages 151-151
    2. J.-P. Eckmann
      Pages 152-153
    3. Henry C. Tuckwell
      Pages 162-171
  8. Space-Time Processes and Stochastic Partial Differential Equations

    1. Front Matter
      Pages 173-173
    2. Ludwig Arnold, P. Kotelenez, Ruth F. Curtain
      Pages 174-184
    3. Donald A. Dawson
      Pages 185-199
  9. Phase Transitions and Irreversible Thermodynamics

    1. Front Matter
      Pages 201-201
    2. F. T. Arecchi
      Pages 222-230
  10. Markov Processes and Time Reversibility

    1. Front Matter
      Pages 231-231
    2. J. C. Willems
      Pages 232-233
  11. Back Matter
    Pages 235-240

About these proceedings


This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch­ astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se­ ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .


Biology Chemistry Nichtlineares System Physics Stochastic processes Stochastisches System System Systems stochastic process thermodynamics

Editors and affiliations

  • Ludwig Arnold
    • 1
  • René Lefever
    • 2
  1. 1.Forschungsschwerpunkt Dynamische SystemeUniversität BremenBremen 33Fed. Rep. of Germany
  2. 2.Service de Chemie Physique IIUniversité Libre de BruxellesBruxellesBelgium

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-68040-3
  • Online ISBN 978-3-642-68038-0
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site