Chapter 4. Fluctuations, Correlations and Response

  1. Prof. Dr. Debashish Chowdhury1 and
  2. Prof. Dr. Dietrich Stauffer2

Published Online: 28 JAN 2005

DOI: 10.1002/3527603158.ch4

Principles of Equilibrium Statistical Mechanics

Principles of Equilibrium Statistical Mechanics

How to Cite

Chowdhury, D. and Stauffer, D. (2000) Fluctuations, Correlations and Response, in Principles of Equilibrium Statistical Mechanics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603158.ch4

Author Information

  1. 1

    Indian Institute of Technology, Kanpur, India

  2. 2

    University of Cologne, Germany

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 27 JUL 2000

ISBN Information

Print ISBN: 9783527403004

Online ISBN: 9783527603152

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Keywords:

  • statistical mechanics;
  • fluctuations;
  • energy;
  • correlations;
  • microstate population fluctuations;
  • fluctuation-response theorem;
  • laws of thermostatics

Summary

This chapter contains sections titled:

  • Introduction

  • Energy: Most Probable and Mean

  • Particle Number: Most Probable and Mean

  • Fluctuations

    • Fluctuations in Energy

    • Fluctuations in Volume

    • Fluctuations in Particle Number

    • Cross Correlation Between Fluctuations

    • Fluctuations in Entropy

  • Microstate Population Fluctuations

    • Ideal Bose Gas

    • Ideal Fermi Gas

    • Ideal Boltzmann Gas

  • Classical versus Quantum Fluctuations

  • Correlation Functions

  • Fluctuation-Response Theorem

    • Illustration with Ising Magnets

    • Illustration with Simple Fluids

  • Scattering Measures Correlation

  • Foundations of Laws of Thermostatics

  • Chapter Summary

  • Historical Notes

  • Problems

  • Supplementary Notes

    • Radial Distribution Functions for Fluids