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Molecular Dynamics Simulations of Bottle-Brush Polymers with a Flexible Backbone under Theta and Good Solvent Conditions

Autor(en)
Panagiotis Theodorakis, Nikolaos G. Fytas
Abstrakt

Using molecular dynamics simulations of a standard bead-spring model for

polymer chains,bottle-brush polymerswith a flexible backbone of Nbeffective units,where side chains of length N are grafted under theta and good solvent conditionsin the range, are studied.The range of backbone and side chains' length varies correspondingly asandfor

two different grafting densities σ, namely σ=0.5 and 1.0.Even at

temperatures T close to the theta point the side chains are

significantly stretched, as it has been confirmed for bottle brushes

with a rigid backbone, their linear dimension depending on the solvent

quality only weakly. However, the distribution of monomers shows a more

pronounced dependence, which we characterize through the asphericity and

acylindricity as functions of σ, T, Nb, and N. In particular, increase of σ, T, Nb,

and N increases the normalized asphericity and acylindricity of the

macromolecule. Interestingly, we also find that the dimensions of the

side chains reveals differences in the distributions of side chain

monomers by changing the backbone length Nb as the region

between the two backbone-ends increases. A method to extract the

persistence length of bottle-brush macromolecules and its drawbacks is

also discussed given that different measures of the persistence length

are not mutually consistent with each other and depend distinctly both

on Nb and the solvent quality.Macromolecules which consist of

a backbone where side chains are graftedrandomly or regularly have

recently found much interest[1-6]. Such macromolecules are described in

terms of their structure by a multitudeof parameters, such as the

backbone length Nb and the grafting densitythat the side

chains with length N are grafted ontothe flexible backbone, while

solvent conditions may also varyby variation of the temperature T or the

pH of the solution resulting inthe structural change of these

stimuli-responsive macromolecules.The response of the large scale

structure of bottle-brush polymers tosolvent conditions is an intriguing

We recall that for linear chains, the theta temperaturefor the present

(implicit solvent) model has been roughlyestimated[46] as Ttheta≈ 3.0 (note, however, that there is still some uncertainty about the precise value of Ttheta,for a similar model[47] Ttheta=

3.18 in this case, couldonly be established for chain lengths exceeding

N= 200).Thus, in the present work we have thoroughly studied

thetemperature range.

From previous work[48] on rather long chains in polymer brushes on flat

surfaces, using the same model[Eqs. (1) and (2)] to describe the

interactions, it is known that for T= 4.0 one finds a behaviour

characteristicfor (moderately) good solvents. Very good solvent

conditionscould be obtained from a slightly different model that

hasextensively been studied for standard polymer brushes[40,49],where

the cut-off in Eq. (1) is chosen to coincide with theminimum of the

potential, (and then also T= 1 can be chosen for this essentially a-thermal model).

 

Organisation(en)
Computergestützte Physik und Physik der Weichen Materie
Externe Organisation(en)
University of Patras
Journal
American Journal of Condensed Matter Physics
Band
2
Seiten
101-108
Anzahl der Seiten
8
ISSN
2163-1115
DOI
https://doi.org/10.5923/j.ajcmp.20120204.05
Publikationsdatum
2012
Peer-reviewed
Ja
ÖFOS 2012
103002 Akustik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/d1e72f5e-302f-44a0-9b45-c5ccf7012e0c