Abstract
The interaction of dislocations and vacancies in a locally correlated liquid is studied within a second quantized linear response theory. One- and two-particle dislocation Green's functions are calculated in RPA, using Zubarev's method. The elementary excitation spectrum and elastic response coefficient are discussed. Non-conservative and mass-conserving processes are differentiated, and the anisotropy of the melting statistics is found to influence the solidification temperature of the liquid. Quantum effects on the melting of Bose systems are discussed. An explicit relation between the elastic response coefficient and Hooke's tensor, based on Kröner's theory, valid in three dimensions, is given in an appendix, as well as its reduction to the two-dimensional case. A comparison with a recent microscopic derivation of this linear response law taking also dynamic properties of the incompatibility tensor into account is presented on a qualitative level.
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