Journal of Statistical Physics

, Volume 29, Issue 1, pp 117–127 | Cite as

About the poor decay of certain cross-correlation functions in the statistical mechanics of phase transitions in the static and dynamical regime

  • Manfred Requardt


We introduce a method to prove poor decay of certain cross-correlation functions which are closely related to the phase transition. The methods apply both to equal and nonequal times, which gives access to the dynamical regime. We establish a criterion which displays openly what happens when the Goldstone picture breaks down. Since no rudiments of translation invariance are needed the treatment covers phases in coexistence like, e.g., liquid-gas interfaces and completely inhomogeneous systems. Furthermore a perhaps surprising connection with the breaking of time reflection invariance of the equilibrium state is established.

Key words

Phase transitions cluster properties phase coexistence time reflection invariance 


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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Manfred Requardt
    • 1
  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenWest Germany

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