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Computational Statistical Physics

From Billiards to Monte Carlo

  • Book
  • © 2002

Overview

Authors:
  1. Karl Heinz Hoffmann

    1. Institut für Physik, Technische Universität Chemnitz, Chemnitz, Germany

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  2. Michael Schreiber

    1. Institut für Physik, Technische Universität Chemnitz, Chemnitz, Germany

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  • Illustrates how advances in numerical computing have contributed to progress in many areas of statistical physics and beyond (e.g. financial theory, evolution, traffic planning)
  • Contains up-to-date tutorial contributions by 16 experts
  • Includes supplementary material: sn.pub/extras

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-XV
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  2. Game Theory and Statistical Mechanics

    • Andreas Engel
    Pages 1-14

  3. Chaotic Billiards

    • Hans Jürgen Korsch, Frank Zimmer
    Pages 15-36

  4. Combinatorial Optimization and High Dimensional Billiards

    • Pál Ruján
    Pages 37-56

  5. The Statistical Physics of Energy Landscapes: From Spin Glasses to Optimization

    • Karl Heinz Hoffmann
    Pages 57-76

  6. Optimization of Production Lines by Methods from Statistical Physics

    • Johannes Schneider, Ingo Morgenstern
    Pages 77-96

  7. Predicting and Generating Time Series by Neural Networks: An Investigation Using Statistical Physics

    • Wolfgang Kinzel
    Pages 97-111

  8. Statistical Physics of Cellular Automata Models for Traffic Flow

    • Michael Schreckenberg, Robert Barlović, Wolfgang Knospe, Hubert Klüpfel
    Pages 113-126

  9. Self-Organized Criticality in Forest-Fire Models

    • Klaus Schenk, Barbara Drossel, Franz Schwabl
    Pages 127-140

  10. Nonlinear Dynamics of Active Brownian Particles

    • Werner Ebeling
    Pages 141-151

  11. Financial Time Series and Statistical Mechanics

    • Marcel Ausloos
    Pages 153-168

  12. ‘Go with the Winners’ Simulations

    • Peter Grassberger, Walter Nadler
    Pages 169-190

  13. Aperiodicity and Disorder — Do They Play a Role?

    • Uwe Grimm
    Pages 191-210

  14. Quantum Phase Transitions

    • Thomas Vojta
    Pages 211-226

  15. Introduction to Energy Level Statistics

    • Bernhard Kramer
    Pages 227-239

  16. Randomness in Optical Spectra of Semiconductor Nanostructures

    • Erich Runge
    Pages 241-257

  17. Characterization of the Metal-Insulator Transition in the Anderson Model of Localization

    • Michael Schreiber, Frank Milde
    Pages 259-278

  18. Percolation, Renormalization and Quantum Hall Transition

    • Rudolf A. Römer
    Pages 279-294

  19. Back Matter

    Pages 295-301
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Keywords

About this book

In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.

Reviews

From the reviews of the first edition:

"This book contains 17 chapters devoted to the use of statistical mechanical methods in areas not belonging to physics and also a few which do belong to physics. Each chapter is a nicely written tutorial presentation of the problem and of the numerical techniques used to solve it. … Each of these chapters can be used as a concise introduction … ." (M. Baus, Physicalia, Issue 6, 2002)

"This book is a different style of computational physics text, rather more like the conference proceedings than the usual undergraduate text. … The result then is quite a pleasing survey of current topics in computational statistical physics. … For the lecturer this is a very attractive resource for project length problems in a computational physics course for higher undergraduate or early graduate level students. For graduate students it is a good survey of modern statistical physics problems that lend themselves to numerical treatment." (G. P. Morriss, The Physicist, Vol. 39 (3), 2002)

Authors and Affiliations

  • Institut für Physik, Technische Universität Chemnitz, Chemnitz, Germany

    Karl Heinz Hoffmann, Michael Schreiber

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