Structural properties of self-attracting walks

A. Ordemann; E. Tomer; G. Berkolaiko; S. Havlin; A. Bunde

doi:10.1103/PhysRevE.64.046117

Structural properties of self-attracting walks

A. Ordemann, E. Tomer, G. Berkolaiko, S. Havlin, A. Bunde

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

The structure of clusters generated by self-attracting walks (SATW) with attractive interaction was investigated. Scaling arguments and Monte Carlo simulations were used to show that the structures are in the universality class of clusters generated by simple random walks. The fractal dimensions of the cluster and its interface were also studied for different dimensions.

Original language	English
Article number	046117
Pages (from-to)	461171-461179
Number of pages	9
Journal	Physical Review E
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.64.046117
State	Published - Oct 2001

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10.1103/PhysRevE.64.046117

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abstract = "The structure of clusters generated by self-attracting walks (SATW) with attractive interaction was investigated. Scaling arguments and Monte Carlo simulations were used to show that the structures are in the universality class of clusters generated by simple random walks. The fractal dimensions of the cluster and its interface were also studied for different dimensions.",

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Structural properties of self-attracting walks

Abstract

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