Please use this identifier to cite or link to this item: https://doi.org/10.1088/0305-4470/30/2/013
Title: Two-dimensional polymer configuration via mean-field theory
Authors: Pereira, G.G. 
Issue Date: 21-Jan-1997
Citation: Pereira, G.G. (1997-01-21). Two-dimensional polymer configuration via mean-field theory. Journal of Physics A: Mathematical and General 30 (2) : 467-483. ScholarBank@NUS Repository. https://doi.org/10.1088/0305-4470/30/2/013
Abstract: We consider determining the configurational properties of a neutral polymer in two dimensions (2D) via self-consistent mean-field methods. By suitably scaling the problem we recover the Flory result for polymers under the excluded volume interaction, i.e. RN ∼ N3/4, where RN is the mean scaling length of a polymer which consists of (N + 1) monomers. If we let x denote the scaled distance from one end of the polymer to a point in space we find that there exists a point y*, where the scaled polymer density fN(x), decays rapidly to zero. Physically the existence of such a point is expected since the polymer has a finite length. For y* - x > O(N-1/3) we find fN(x) ∼ 1/2x[fN(x)-fN(y*)]1/2 while for x-y* > O(N-1/3) we obtain fN(x) ∼ o(1). We discuss the consequence of these results on the validity of the asymptotic methods used.
Source Title: Journal of Physics A: Mathematical and General
URI: http://scholarbank.nus.edu.sg/handle/10635/104893
ISSN: 03054470
DOI: 10.1088/0305-4470/30/2/013
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

2
checked on Jun 23, 2018

WEB OF SCIENCETM
Citations

2
checked on May 28, 2018

Page view(s)

28
checked on May 18, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.