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Statistical Physics

An Advanced Approach with Applications Web-enhanced with Problems and Solutions

  • Textbook
  • © 2002

Overview

Authors:
  1. Josef Honerkamp

    1. Fakultät für Physik, Albert-Ludwig-Universität Freiburg, Freiburg, Germany

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  • A unique text at the advanced level with applications to modern physics
  • Three new chapters
  • Web-enhanced problems and solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Texts in Physics (ADTP)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Statistical Physics Is More than Statistical Mechanics

    1. Statistical Physics Is More than Statistical Mechanics

      • Josef Honerkamp
      Pages 1-2

  3. Modeling of Statistical Systems

    1. Front Matter

      Pages 3-3
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    2. Random Variables: Fundamentals of Probability Theory and Statistics

      • Josef Honerkamp
      Pages 5-50

    3. Random Variables in State Space: Classical Statistical Mechanics of Fluids

      • Josef Honerkamp
      Pages 51-114

    4. Random Fields: Textures and Classical Statistical Mechanics of Spin Systems

      • Josef Honerkamp
      Pages 115-153

    5. Time-Dependent Random Variables: Classical Stochastic Processes

      • Josef Honerkamp
      Pages 155-212

    6. Quantum Random Systems

      • Josef Honerkamp
      Pages 213-287

    7. Changes of External Conditions

      • Josef Honerkamp
      Pages 289-305

  4. Analysis of Statistical Systems

    1. Front Matter

      Pages 307-307
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    2. Estimation of Parameters

      • Josef Honerkamp
      Pages 309-337

    3. Signal Analysis: Estimation of Spectra

      • Josef Honerkamp
      Pages 339-385

    4. Estimators Based on a Probability Distribution for the Parameters

      • Josef Honerkamp
      Pages 387-401

    5. Identification of Stochastic Models from Observations

      • Josef Honerkamp
      Pages 403-430

    6. Estimating the Parameters of a Hidden Stochastic Model

      • Josef Honerkamp
      Pages 431-444

    7. Statistical Tests and Classification Methods

      • Josef Honerkamp
      Pages 445-469

  5. Back Matter

    Pages 471-517
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Keywords

About this book

The application of statistical methods to physics is essen- tial. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analy- sis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The second edition has been updated and enlarged with new material on estimators based on a probability dis- tribution for the parameters, identification of stochastic models from observations, and statistical tests and classi- fication methods (Chaps. 10-12). Moreover, a customized set of set of problems with solutions is accessible on the Web.

Authors and Affiliations

  • Fakultät für Physik, Albert-Ludwig-Universität Freiburg, Freiburg, Germany

    Josef Honerkamp

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