Application of Polynomial Algorithms to a Random Elastic Medium

Details Application of Polynomial Algorithms to a Random Elastic Medium Application of Polynomial Algorithms to a Random Elastic Medium

1998-10-13

arxiv.org/abs/cond-mat/9810154v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages. Invited talk at the CCP1998 - Computational Physics (Granada)

Scientific paper

10.1016/S0010-4655(99)00399-9

A randomly pinned elastic medium in two dimensions is modeled by a disordered fully-packed loop model. The energetics of disorder-induced dislocations is studied using exact and polynomial algorithms from combinatorial optimization. Dislocations are found to become unbound at large scale, and the elastic phase is thus unstable giving evidence for the absence of a Bragg glass in two dimensions.

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