Fractality and topology of self-avoiding walks

• Verfasst von: Jia, Jiying [VerfasserIn]
• Verfasst von: Heermann, Dieter W. [VerfasserIn]
• Titel: Fractality and topology of self-avoiding walks
• Verf.angabe: Jiying Jia, Dieter W. Heermann
• E-Jahr: 2020
• Jahr: 29 Oct 2020
• Umfang: 22 S.
• Illustrationen: Illustrationen
• Fussnoten: Gesehen am 09.01.2024
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [Erscheinungsort nicht ermittelbar] : Arxiv.org, 1991
• Jahr Quelle: 2020
• Band/Heft Quelle: (2020), Artikel-ID 2010.15416, Seite 1-22
• DOI: doi:10.48550/arXiv.2010.15416
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Soft Condensed Matter
• Sach-SW: Condensed Matter - Statistical Mechanics
• K10plus-PPN: 1818038579

Abstract

We have analyzed geometric and topological features of self-avoiding walks. We introduce a new kind of walk: the loop-deleted self-avoiding walk (LDSAW) motivated by the interaction of chromatin with the nuclear lamina. Its critical exponent is calculated and found to be different from that of the ordinary SAW. Taking the walks as point-clouds, the LDSAW is a subset of the SAW. We study the difference between the LDSAW and SAW by comparing their fractal dimensions and growth rates of the Betti number. In addition, the spatial distribution of the contacts inside a SAW, which is also a subset of SAW, is analyzed following the same routine. ...