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Stochastic Processes in Physics, Chemistry, and Biology

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Jan A. Freund

    1. Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Thorsten Pöschel

    1. Charité, Institut für Biochemie, Humboldt-Universität zu Berlin, Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (45 papers)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Stochastic Transport and Brownian Motion

    1. Directed Current Without Dissipation: Reincarnation of a Maxwell—Loschmidt Demon

      • Igor Goychuk, Peter Hänggi
      Pages 7-20

    2. Molecular Motors and Stochastic Models

      • Reinhard Lipowsky
      Pages 21-31

    3. Nonlinearly Coupled Chemical Reactions

      • Martin Bier, Marcin Kostur
      Pages 32-37

    4. Thermodynamics of Isothermal Brownian Motors

      • Juan M.R. Parrondo, Borja Jiménez de Cisneros, Ricardo Brito
      Pages 38-49

    5. Rocking Ratchets at High Frequencies

      • Peter Reimann
      Pages 50-60

    6. Defect Dragging in Periodic Structures

      • M. Borromeo, F. Marchesoni
      Pages 61-68

    7. Conduction in an Inhomogeneous Medium

      • Nico G. van Kampen
      Pages 69-74

    8. Theory and Control of Multiple Hopping in Activated Surface Diffusion

      • Eli Pollak
      Pages 75-84

    9. Brownian Motion in a d-Dimensional Space with Fluctuating Friction

      • Peter Talkner, Jerzy Łuczka
      Pages 85-96

    10. Active Motion of Brownian Particles

      • Frank Schweitzer
      Pages 97-106

    11. Diffusion in Granular Gases of Viscoelastic Particles

      • Nikolai V. Brilliantov, Thorsten Pöschel
      Pages 107-117

  3. Stochastic Resonance and Phase Synchronization

    1. Scaling of Noise and Constructive Aspects of Fluctuations

      • J. M. G. Vilar, J. M. Rubí
      Pages 121-130

    2. Stochastic Resonances in Underdamped Bistable Systems

      • Luca Gammaitoni, Adi R. Bulsara
      Pages 131-138

    3. Stochastic Resonance in a System of Coupled Asymmetric Resonators

      • Robert Rozenfeld, Benjamin Lindner
      Pages 139-149

    4. Optimizing Information Transmission in Model Neuronal Ensembles: The Role of Internal Noise

      • Nigel G. Stocks
      Pages 150-159

    5. Stochastic Resonance with Images and Spatially Correlated Stochastic Patterns

      • Jan A. Preund
      Pages 160-171

    6. Adiabatic and Non-adiabatic Resonances in Excitable Systems

      • André Longtin
      Pages 172-181

    7. The Lighthouse Model of a Neural Net with Delay

      • Hermann Haken
      Pages 182-189

    8. Noise-enhanced Phase Coherence in Ensembles of Stochastic Resonators

      • Alexander Neiman
      Pages 190-201
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Keywords

About this book

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.

Editors and Affiliations

  • Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany

    Jan A. Freund

  • Charité, Institut für Biochemie, Humboldt-Universität zu Berlin, Berlin, Germany

    Thorsten Pöschel

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