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Stochastic Processes in Physics, Chemistry, and Biology

  • Jan A. Freund
  • Thorsten Pöschel

Part of the Lecture Notes in Physics book series (LNP, volume 557)

Table of contents

  1. Front Matter
    Pages I-X
  2. Stochastic Transport and Brownian Motion

    1. Reinhard Lipowsky
      Pages 21-31
    2. Martin Bier, Marcin Kostur
      Pages 32-37
    3. Juan M.R. Parrondo, Borja Jiménez de Cisneros, Ricardo Brito
      Pages 38-49
    4. Peter Reimann
      Pages 50-60
    5. M. Borromeo, F. Marchesoni
      Pages 61-68
    6. Nico G. van Kampen
      Pages 69-74
    7. Frank Schweitzer
      Pages 97-106
    8. Nikolai V. Brilliantov, Thorsten Pöschel
      Pages 107-117
  3. Stochastic Resonance and Phase Synchronization

  4. Noise-Induced Phase Transitions and Reactive Processes

    1. Jose M. Sancho, Jordi Garcia-Ojalvo
      Pages 235-246
    2. Marta Ibañes, Jordi García-Ojalvo, Raúl Toral, José M. Sancho
      Pages 247-256
    3. C. Van den Broeck, I. Bena
      Pages 257-267
    4. Polina S. Landa, Alexei A. Zaikin, Jürgen Kurths
      Pages 268-279
    5. Ludwig Arnold, Peter Imkeller
      Pages 280-291
    6. Rosario N. Mantegna, Bernardo Spagnolo
      Pages 327-337
    7. B. A. Grishanin, Yu. M. Romanovskii, A.Yu. Chikishev, E. V. Shuvalova
      Pages 338-349
  5. Large Fluctuations and Noise in Chaotic Systems

    1. Mark I. Dykman, Brage Golding
      Pages 365-377
    2. Igor A. Khovanov, Dmitri G. Luchinsky, Riccardo Mannella, Peter V. E. McClintock
      Pages 378-389
    3. Rüdiger Zillmer, Volker Ahlers, Arkady Pikovsky
      Pages 400-410
    4. Vadim Anishchenko, Andrey Kopeikin, Tatjana Vadivasova, Galina Strelkova, Jürgen Kurths
      Pages 411-421
    5. Yuri L. Klimontovich
      Pages 422-433
  6. Structure Formation

    1. Francesc Sagues, Ramon Reigada, Igor M. Sokolov
      Pages 452-462
    2. Stefan J. Linz, Martin Raible, Peter Hānggi
      Pages 473-483
    3. Frank Gutheim, Heiner Miiller-Krumbhaar, Efim Brener, Chaouki Misbah
      Pages 484-495
    4. Adam Gadomski, Martin Schönhof, Krzysztof Bończak
      Pages 496-506
    5. Frank Spahn, Jürgen Schmidt, Miodrag Sremcević
      Pages 507-516

About these proceedings

Introduction

The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.

Keywords

Brownian motion Potential Stochastic processes information processing stochastic process thermodynamics

Editors and affiliations

  • Jan A. Freund
    • 1
  • Thorsten Pöschel
    • 2
  1. 1.Institut für PhysikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Charité, Institut für BiochemieHumboldt-Universität zu BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-45396-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41074-4
  • Online ISBN 978-3-540-45396-3
  • Series Print ISSN 0075-8450
  • Buy this book on publisher's site
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