Labyrinthine patterns in a self-avoiding growing string

Tomotsu Kohyama

Physica A: Statistical Mechanics and its Applications, 1996, vol. 233, issue 1, 355-364

Abstract: We propose a model of a self-avoiding growing string with excluded volume effects. In this model, the string develops to form a complex shape like a labyrinth. We find simple dynamical scaling relations for several characteristics quantities, including the radius of gyration and radius of curvature. Detailed numerical calculations show that there are two length scales and one time scale characterizing the shape transformations of the growing string.

Keywords: Growth; Membranes; Self-avoiding; Shape transformation; Scaling relation (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:233:y:1996:i:1:p:355-364

DOI: 10.1016/S0378-4371(96)00120-3

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