Chapter 3. General Properties of Time-Correlation Functions

  1. Gene F. Mazenko

Published Online: 4 JAN 2008

DOI: 10.1002/9783527618958.ch3

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics

How to Cite

Mazenko, G. F. (2006) General Properties of Time-Correlation Functions, in Nonequilibrium Statistical Mechanics, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527618958.ch3

Author Information

  1. The University of Chicago, The James Franck Institute, 5640, S. Ellis Avenue, Chicao, IL 60637, USA. gfm@ma.uchicago.edu

Publication History

  1. Published Online: 4 JAN 2008
  2. Published Print: 6 OCT 2006

ISBN Information

Print ISBN: 9783527406487

Online ISBN: 9783527618958

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Keywords:

  • equilibrium-averaged;
  • time-correlation functions;
  • scattering experiment;
  • neutron-scattering experiment;
  • dynamic susceptibility

Summary

This chapter contains sections titled:

  • Fluctuation-Dissipation Theorem

  • Symmetry Properties of Correlation Functions

  • Analytic Properties of Response Functions

  • Symmetries of the Complex Response Function

  • The Harmonic Oscillator

  • The Relaxation Function

  • Summary of Correlation Functions

  • The Classical Limit

  • Example: The Electrical Conductivity

  • Nyquist Theorem

  • Dissipation

  • Static Susceptibility (Again)

  • Sum Rules

  • References and Notes

  • Problems for Chapter 3