Flory approximant for self-avoiding walks on fractals

Amnon Aharony; A. Brooks Harris

doi:10.1007/BF01019789

Flory approximant for self-avoiding walks on fractals

Amnon Aharony, A. Brooks Harris

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

43 Scopus citations

Abstract

A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.

Original language	English
Pages (from-to)	1091-1097
Number of pages	7
Journal	Journal of Statistical Physics
Volume	54
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01019789
State	Published - 1 Feb 1989
Externally published	Yes

Keywords

Flory approximant
fractals
lattice animals
percolation
random walks
self-avoiding walks

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01019789

Cite this

@article{14d61999052a456788a0ecf137d8b38c,

title = "Flory approximant for self-avoiding walks on fractals",

abstract = "A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.",

keywords = "Flory approximant, fractals, lattice animals, percolation, random walks, self-avoiding walks",

author = "Amnon Aharony and Harris, {A. Brooks}",

year = "1989",

month = feb,

day = "1",

doi = "10.1007/BF01019789",

language = "English",

volume = "54",

pages = "1091--1097",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - Flory approximant for self-avoiding walks on fractals

AU - Aharony, Amnon

AU - Harris, A. Brooks

PY - 1989/2/1

Y1 - 1989/2/1

N2 - A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.

AB - A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.

KW - Flory approximant

KW - fractals

KW - lattice animals

KW - percolation

KW - random walks

KW - self-avoiding walks

UR - http://www.scopus.com/inward/record.url?scp=9744279953&partnerID=8YFLogxK

U2 - 10.1007/BF01019789

DO - 10.1007/BF01019789

M3 - Article

AN - SCOPUS:9744279953

SN - 0022-4715

VL - 54

SP - 1091

EP - 1097

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Flory approximant for self-avoiding walks on fractals

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this