Some details of the description of a disordered condensed system using the theory of defect states of orientational order

M. G. Vasin

Physical-Technical Institute, Ural Branch, RAS, Izhevsk, Russia

Abstract: Using the theory of defect states of orientational order, we describe a disordered condensed system as an elastic medium with linear topological singularities. We show that elastic stress fields produced by linear disclinations are Abelian. In the quasistationary linear approximation, we obtain expressions for linear dislocation and disclination tensor potentials. We show that using the theory of defect states of orientational order, we can describe the $\alpha$ and $\beta$ relaxations in a supercooled liquid as relaxation processes in the respective disclination and dislocation subsystems.

Keywords: disordered structure, topological singularity, $SO(3)$-symmetry breaking.

Received: 02.03.2009

DOI: 10.4213/tmf6437

 English version: Theoretical and Mathematical Physics, 2009, 161:2, 1549–1557

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