|
Authors
|
Chervanyov, A. ; Heinrich, G.
|
|
Title
|
Flory radius of polymers in a periodic field: An exact analytic theory
|
|
Date
|
24.11.2007
|
|
Number
|
14926
|
|
Abstract
|
We found an exact expression for the Flory radius RF of Gaussian polymers placed in an external periodic field. This solution is expressed in terms of the two parameters · and a that describe the reduced strength of an external field and the period of the field to the polymer gyration radius ratio, respectively. RF is found to be a decaying function of · for any values of a . Provided that the gyration radius is of the order of the period of an external field or less, the ground-state (GS) approximation of the exact result for RF is shown to give qualitatively incorrect results. In addition to the "ground-state" contribution, the exact solution for RF contains an additional term that is overlooked by the GS approximation. This term gives rise to the fact that RF as a function of · exhibits power law behavior (rather than exponential decay obtained from the GS result) once · exceeds the threshold value ·con .
|
|
Publisher
|
European Physical Journal E
|
|
Wikidata
|
|
|
Citation
|
European Physical Journal E 24 (2007) 271-276
|
|
DOI
|
https://doi.org/epje/i2007-10237-9
|
|
Tags
|
|
