Linear Response and Correlation Functions

  • Hannes Risken
Part of the Springer Series in Synergetics book series (SSSYN, volume 18)


We consider a system in a stable steady state or in equilibrium. If we disturb the system by applying some external fields or by changing some parameter the system will be driven away from its former steady state. The external fields or the changes of the parameters are usually small. Then we only need to take into account those deviations from the steady state which are linear in the external fields (linear response). The deviations of expectation values from their steady-state values also depend linearly on the fields. This dependence can be described by a response function. If the external fields are switched off, the deviations from the steady state decay or dissipate (in the physical literature the word ‘dissipate’ is usually used for the decay of energy).


Correlation Function External Field Linear Response Langevin Equation Fluctuation Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 7.1
    M. S. Green: J. Chem. Phys. 19, 1036 (1951)MathSciNetADSCrossRefGoogle Scholar
  2. 7.2
    H. B. Callen, T. A. Welton: Phys. Rev. 83, 34 (1951)MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. 7.3
    R. Kubo: J. Phys. Soc. Japan 12, 570 (1957); Rep. Prog. Phys. 29, 255 (1966)MathSciNetADSCrossRefGoogle Scholar
  4. 7.4
    K. M. Case: Transp. Th. Stat. Phys. 2, 129 (1972)MathSciNetCrossRefGoogle Scholar
  5. 7.5
    G. S. Agarwal: Z. Physik 252, 25 (1972)ADSCrossRefGoogle Scholar
  6. 7.6
    B. K. P. Scaife: Complex Permittivity (English University Press, London 1971)Google Scholar
  7. 7.7
    J. McConnel: Rotational Brownian Motion and Dielectric Theory (Academic, London 1980)Google Scholar
  8. 7.8
    L. Landau, E. M. Lifschitz: Statistical Physics (Pergamon, London 1958)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Hannes Risken
    • 1
  1. 1.Abteilung für Theoretische PhysikUniversität UlmUlmFed. Rep. of Germany

Personalised recommendations