Elastic lines on splayed columnar defects studied numerically

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© 2006 American Physical Society (APS). This is the accepted version of the following article: Petäjä, Viljo & Sarjala, Matti & Alava, Mikko J. & Rieger, Heiko. 2006. Elastic lines on splayed columnar defects studied numerically. Physical Review B. Volume 73, Issue 9. 094517/1-9. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.73.094517, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.73.094517.

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Journal Title

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Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2006

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Mcode

Degree programme

Language

en

Pages

094517/1-9

Series

Physical Review B, Volume 73, Issue 9

Abstract

We investigate by exact optimization method properties of two- and three-dimensional systems of elastic lines in presence of splayed columnar disorder. The ground state of many lines is separable both in two (2D) and three dimensions (3D), leading to a random walk-like roughening in 2D and ballistic behavior in 3D. Furthermore, we find that in the case of pure splayed columnar disorder, in contrast to point disorder, there is no entanglement transition in 3D. Entanglement can be triggered by perturbing the pure splay system with point defects.

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Keywords

combinatorial optimization, disordered systems

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Citation

Petäjä, Viljo & Sarjala, Matti & Alava, Mikko J. & Rieger, Heiko. 2006. Elastic lines on splayed columnar defects studied numerically. Physical Review B. Volume 73, Issue 9. 094517/1-9. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.73.094517.