Gauge theory of disclinations on fluctuating elastic surfaces

Details Gauge theory of disclinations on fluctuating elastic surfaces Gauge theory of disclinations on fluctuating elastic surfaces

1999-03-09

arxiv.org/abs/math-ph/9903018v1

J. Phys. A: Math.Gen. 32 (1999) p.1961

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/0305-4470/32/10/013

A variant of a gauge theory is formulated to describe disclinations on Riemannian surfaces that may change both the Gaussian (intrinsic) and mean (extrinsic) curvatures, which implies that both internal strains and a location of the surface in R^3 may vary. Besides, originally distributed disclinations are taken into account. For the flat surface, an extended variant of the Edelen-Kadic gauge theory is obtained. Within the linear scheme our model recovers the von Karman equations for membranes, with a disclination-induced source being generated by gauge fields. For a single disclination on an arbitrary elastic surface a covariant generalization of the von Karman equations is derived.

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