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Stochastic geometry of defect systems

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  • Holz, A.
  • Vigren, D.T.

Abstract

A second quantized temperature formalism for the correlation functions and linear response laws for detect systems representative for solid and partly ordered liquid states is developed. The partition function is expressed in terms of defect degrees of freedom for which also an effective action is derived coupled to source fields. The physical configurations of the system are expressed in terms of their geometric sources which are the defects and so are the correlation functions, as for instance the non-local Hooke tensor. Collective excitations of phonon and plasmon type are studied on a qualitative level. Most results are given in the flat approximation, where the non-trivial metric and Riemann connection generated by the geometric sources is ignored. The perturbation theory, in order to analyse explicitly the flow structures of defect systems, is not developed in this paper.

Suggested Citation

  • Holz, A. & Vigren, D.T., 1988. "Stochastic geometry of defect systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 561-605.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:3:p:561-605
    DOI: 10.1016/0378-4371(88)90120-3
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    Cited by:

    1. Vigren, Dennis & Holz, Arno, 1989. "Dislocation-point defect dynamics in two-dimensional anisotropic liquids: New aspects of melting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 442-470.

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