Swelling-collapse transition of self-attracting walks

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

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We study the structural properties of self-attracting walks in d dimensions using scaling arguments and Monte Carlo simulations. We find evidence of a transition analogous to the Θ transition of polymers. Above a critical attractive interaction [Formula Presented] the walk collapses and the exponents ν and k, characterizing the scaling with time t of the mean square end-to-end distance [Formula Presented] and the average number of visited sites [Formula Presented] are universal and given by [Formula Presented] and [Formula Presented] Below [Formula Presented] the walk swells and the exponents are as with no interaction, i.e., [Formula Presented] for all d, [Formula Presented] for [Formula Presented] and [Formula Presented] for [Formula Presented] At [Formula Presented] the exponents are found to be in a different universality class.

Original languageEnglish
Pages (from-to)R1005-R1007
JournalPhysical Review E
Volume61
Issue number2
DOIs
StatePublished - 2000

Fingerprint

Dive into the research topics of 'Swelling-collapse transition of self-attracting walks'. Together they form a unique fingerprint.

Cite this