2003/02/28 by Viljo Petaja, Viljo Petäjä, Mikko J. Alava +2 · 1 citation
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.supr-con
paper · pdf · doi:10.1209/epl/i2003-10259-y
published as Europhys. Lett. 66, 778 (2004) · 11 pages RevTeX, eps-figs included; one figure and some references added
arxiv created 2004/04/13 · openalex publication_date 2004/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We investigate by exact optimization the geometrical properties of three-dimensional elastic line systems with point disorder and hard-core repulsion. The line “forests” become entangled due to increasing line wandering as the system height is increased, at fixed line density. There is a transition height at which a cluster of pairwise entangled lines spans the system, transverse to average line orientation. Numerical evidence implies that the phenomenon is in the ordinary percolation universality class. Similar results are obtained for an ensemble of flux lines obeying random-walk dynamics.